ORIGINAL_ARTICLE
Displacement Field Due to a Cylindrical Inclusion in a Thermoelastic Half-Space
In this paper, the closed form analytical expressions for the displacement field due to a cylindrical inclusion in a thermoelastic half-space are obtained. These expressions are derived in the context of steady-state uncoupled thermoelasticity using thermoelastic displacement potential functions. The thermal displacement field is generated due to differences in the coefficients of linear thermal expansion between a subregion and the surrounding material. Further, comparison between displacement field in a half-space and in an infinite medium has been discussed. The variation of displacement field in a half-space and its comparison with an infinite medium is also shown graphically.
http://jsm.iau-arak.ac.ir/article_533175_006b677563ef21b6bd91ea5795994560.pdf
2017-09-01T11:23:20
2020-05-31T11:23:20
445
455
Displacement field
Thermoelastic half-space
Potential functions
Cylindrical inclusion, Uncoupled thermoelasticity
K
Singh
true
1
Department of Mathematics,Guru Jambheshwar ,University of Science & Technology, Hisar, Pin-125001, Haryana, India
Department of Mathematics,Guru Jambheshwar ,University of Science & Technology, Hisar, Pin-125001, Haryana, India
Department of Mathematics,Guru Jambheshwar ,University of Science & Technology, Hisar, Pin-125001, Haryana, India
AUTHOR
M
Renu
renumuwal66@gmail.com
true
2
Department of Mathematics,Guru Jambheshwar ,University of Science & Technology, Hisar, Pin-125001, Haryana, India
Department of Mathematics,Guru Jambheshwar ,University of Science & Technology, Hisar, Pin-125001, Haryana, India
Department of Mathematics,Guru Jambheshwar ,University of Science & Technology, Hisar, Pin-125001, Haryana, India
LEAD_AUTHOR
[1] Goodier J.N., 1937, On the integration of the thermoelastic equations, Philosophical Magazine 7(23):1017-1032.
1
[2] Mindlin R.D., Cheng, D.H., 1950, Thermoelastic stress in the semi-infinite solid, Journal of Applied Physics 21: 931-933.
2
[3] Yu H.Y., Sanday S.C., 1992, Centre of dilatation and thermal stresses in an elastic plate, Proceedings of the Royal Society of London A 438: 103-112.
3
[4] Hemayati M., Karami G., 2002, A boundary elements and particular integrals implementation for thermoelastic stress analysis, International Journal of Engineering Transactions A: Basics 15(2): 197-204.
4
[5] Nowinski J., 1961, Biharmonic solutions to the steady-state thermoelastic problems in three dimensions, Zeitschrift für Angewandte Mathematik und Physik ZAMP 12(2): 132-149.
5
[6] Wang M., Huang, K., 1991, Thermoelastic problems in the half space-An application of the general solution in elasticity, Applied Mathematics and Mechanics 12(9): 849-861.
6
[7] Seremet V., Bonnet G., Speianu T.,2009, New Poisson’s type integral formula for thermoelastic half-space, Hindawi Publishing Corporation, Mathematical Problems in Engineering 2009: 284380.
7
[8] Kedar G.D., Warbhe S.D., Deshmukh K.C., Kulkarni V.S., 2012,Thermal stresses in a semi-infinite solid circular cylinder, International Journal of Applied Mathematics and Mechanics 8(10): 38-46.
8
[9] Davies J.H., 2003, Elastic field in a semi-infinite solid due to thermal expansion or a coherently misfitting inclusion, Journal of Applied Mechanics 70(5): 655-660.
9
[10] Sen B., 1957, Note on a direct method of solving problems of elastic plates with circular boundaries having prescribed displacement, Zeitschrift für angewandte Mathematik und Physik ZAMP 8(4): 307-309.
10
[11] Arpaci V.S., 1984, Steady axially symmetric three-dimensional thermoelastic stresses in fuel roads, Nuclear Engineering and Design 80: 301-307.
11
[12] Rokne J., Singh B.M., Dhaliwal R.S., Vrbik J., 2003,The axisymmetric boussinesq-type problem for a half-space under optimal heating of arbitrary profile, International Journal of Mathematics and Mathematical Sciences 40: 2123-2131.
12
[13] Chao C.K., Chen F.M., Shen M.H., 2006, Green’s functions for a point heat source in circularly cylindrical layered media, Journal of Thermal Stresses 29(9): 809-847.
13
[14] Sadd M.H., 2005, Elasticity-Theory, Applications and Numerics, Elsevier Academic Press Inc., UK.
14
[15] Timoshenko S., Goodier J.N., 1951, Theory of Elasticity, McGraw-Hill, New York.
15
ORIGINAL_ARTICLE
Weight Optimum Design of Pressurized and Axially Loaded Stiffened Conical Shells to Prevent Stress and Buckling Failures
An optimal design of internal pressurized stiffened conical shell is investigated using the genetic algorithm (GA) to minimize the structural weight and to prevent various types of stress and buckling failures. Axial compressive load is applied to the shell. Five stress and buckling failures as constraints are taken into account. Using the discrete elements method as well as the energy method, global buckling load and stress field in the stiffened shell are obtained. The stiffeners include rings and stringers. Seven design variables including shell thickness, number of rings and stringers, stiffeners width and height are considered. In addition, the upper and lower practical bounds are applied for the design variables. Finally, a graphical software package named as Optimal Sizer is developed to help the designers.
http://jsm.iau-arak.ac.ir/article_533178_5021ad9d9b35c2e7fe439369a8f2e80c.pdf
2017-09-01T11:23:20
2020-05-31T11:23:20
456
471
Weight optimum design
Internal pressurized stiffened conical shell
Failure Analysis
Genetic algorithm
Discrete elements method
M
Talebitooti
talebi@qut.ac.ir
true
1
Department of Mechanical Engineering, Qom University of Technology, Qom, Iran
Department of Mechanical Engineering, Qom University of Technology, Qom, Iran
Department of Mechanical Engineering, Qom University of Technology, Qom, Iran
LEAD_AUTHOR
M
Fadaee
true
2
Department of Mechanical Engineering, Qom University of Technology, Qom, Iran
Department of Mechanical Engineering, Qom University of Technology, Qom, Iran
Department of Mechanical Engineering, Qom University of Technology, Qom, Iran
AUTHOR
M.H
Seyyedsharbati
true
3
Department of Mechanical Engineering, Qom University of Technology, Qom, Iran
Department of Mechanical Engineering, Qom University of Technology, Qom, Iran
Department of Mechanical Engineering, Qom University of Technology, Qom, Iran
AUTHOR
M.M
Shojaee
true
4
Department of Mechanical Engineering, Qom University of Technology, Qom, Iran
Department of Mechanical Engineering, Qom University of Technology, Qom, Iran
Department of Mechanical Engineering, Qom University of Technology, Qom, Iran
AUTHOR
[1] Patel J.M., Patel T.S., 1980, Minimum weight design of the stiffened cylindrical shell under pure bending, Computers & Structures 11: 559-563.
1
[2] Simitses G.J., Giri J., 1978, Optimum weight design of stiffened cylinders subjected to torsion combined with axial compression with and without lateral pressure, Computers & Structures 8: 19-30.
2
[3] Simões L.M.C., Farkas J., Jármai K., 2006, Reliability-based optimum design of a welded stringer-stiffened steel cylindrical shell subject to axial compression and bending, Structural and Multidisciplinary Optimization 31: 147-155.
3
[4] Bushnell D., Bushnell W.D., 1996, Approximate method for the optimum design of ring and stringer stiffened cylindrical panels and shells with local, inter-ring, and general buckling modal imperfections, Computers & Structures 59(3): 489-527.
4
[5] Léné F., Duvaut G., Mailhé M.O., Chaabane S.B., Grihon S., 2009, An advanced methodology for optimum design of a composite stiffened cylinder, Composite Structure 91: 392-397.
5
[6] Simitsess G.J., Sheinman I., 1978, Optimization of geometrically imperfect stiffened cylindrical shells under axial compression, Computers & Structures 59(9): 377-381.
6
[7] Irisarri F.X., Laurin F., Leroy F.H., Maire J.F., 2011, Computational strategy for multiobjective optimization of composite stiffened panels, Composite Structure 93: 1158-1167.
7
[8] Rao S.S., Reddy E.S., 1981, Optimum design of stiffened conical shells with natural frequency constraints, Computers & Structures 14(1-2): 103-110.
8
[9] Colson B., Bruyneel M., Grihon S., Raick C., Remouchamps A., 2010, Optimization methods for advanced design of aircraft panels: a comparison, Optimization and Engineering 11: 583-596.
9
[10] Ambur D.R., Jaunky N., 2001, Optimal design of grid-stiffened panels and shells with variable curvature, Composite Structure 52: 173-180.
10
[11] Luspa L., Ruocco E., 2008, Optimum topological design of simply supported composite stiffened panels via genetic algorithms, Computers & Structures 86: 1718-1737.
11
[12] Bagheri M., Jafari A.A., Sadeghifar M., 2011, Multi-objective optimization of ring stiffened cylindrical shells using a genetic algorithm, Journal of Sound and Vibration 330: 374-384.
12
[13] El Ansary A.M., El Damatty A.A., Nassef A.O., 2012, A coupled finite element genetic algorithm for optimum design of stiffened liquid-filled steel conical tanks, Thin-walled Structures 49(4): 482-493.
13
[14] Mehrabani M.M., Jafari A.A., Azadi M., 2012, Multidisciplinary optimization of a stiffened shell by genetic algorithm, Journal of Mechanical Science and Technology 26(2): 517-530.
14
[15] Marín L., Trias D., Badalló P., Rus G., Mayugo J.A., 2012, Optimization of composite stiffened panels under mechanical and hygrothermal loads using neural networks and genetic algorithms, Composite Structure 94: 3321-3326.
15
[16] Lam K.Y., Hua L., 1997, Vibration analysis of a rotating truncated circular conical shell, International Journal of Solids and Structures 34(17): 2183-2197.
16
[17] Talebitooti M., Ghayour M., Ziaei-Rad S., Talebitooti R., 2010, Free vibrations of rotating composite conical shells with stringer and ring stiffeners, Archive of Applied Mechanics 80(3): 201-215.
17
[18] Baker E.H., Cappelly A.P., Lovalevsky L., Risb F.L., Verette R.M., 1968, Shell Analysis Manual, NASA CR-912, Washington D.C.
18
ORIGINAL_ARTICLE
The Prediction of Forming Limit Diagram of Low Carbon Steel Sheets Using Adaptive Fuzzy Inference System Identifier
The paper deals with devising the combination of fuzzy inference systems (FIS) and neural networks called the adaptive network fuzzy inference system (ANFIS) to determine the forming limit diagram (FLD). In this paper, FLDs are determined experimentally for two grades of low carbon steel sheets using out-of-plane (dome) formability test. The effect of different parameters such as work hardening exponent (n), anisotropy (r) and thickness on these diagrams were studied. The out-of-plane stretching test with hemispherical punch was simulated by finite element software Abaqus. The limit strains occurred with localized necking were specified by tracing the thickness strain and its first and second derivatives versus time at the thinnest element. In addition, to investigate the effect of different parameters such as work hardening exponent (n), anisotropy (r) and thickness on these diagrams, a machine learning algorithm is used to simulate a predictive framework. The method of learning algorithm uses the rudiments of neural computing through layering the FIS and using hybrid-learning optimization algorithm. In other words, for building the training database of ANFIS, the experimental work and finite element software Abaqus are used to obtain limit strains. Good agreement was achieved between the predicted data and the experimental results.
http://jsm.iau-arak.ac.ir/article_533181_1a1755c6cd9ee4c4d1f84f15b936ba6a.pdf
2017-09-01T11:23:20
2020-05-31T11:23:20
472
489
Forming Limit Diagram
Out-of-plane
Localized necking
Finite Element
Fuzzy Inference System
H
Aleyasin
h.aleyasin.2011@gmail.com
true
1
Department of Mechanical Engineering, Babol University of Technology, Babol, Iran
Department of Mechanical Engineering, Babol University of Technology, Babol, Iran
Department of Mechanical Engineering, Babol University of Technology, Babol, Iran
LEAD_AUTHOR
[1] Keeler S.P., Backofen W.A., 1963, Plastic instability and fracture in sheets stretched over rigid punches, ASM Trans 56: 25-48.
1
[2] Goodwin G.M., 1968, Application of strain analysis to sheet metal forming problems in the press shop, SAE, 680093.
2
[3] Hecker S.S., 1975, Simple technique for determining forming limit curves, Sheet Metal Industries 52: 671-676.
3
[4] Marciniak Z., Kuczynski K., 1967, Limit strains in the processes of stretch forming, International Journal of Mechanical Sciences 9: 609-620.
4
[5] Raghavan K.S., 1995, A simple technique to generate in-plane forming limit curves and selected applications, Metallurgical and Materials Transactions 26: 2075-2084.
5
[6] Clift S.E., Hartley P., Sturgess C.E.N., Rowe G.W., 1990, Fracture prediction in plastic deformation processes, International Journal of Mechanical Sciences 32: 1-17.
6
[7] Takuda H., Mori K., Hatta N., 1999, The application of some criteria for ductile fracture to the prediction of the forming limit of sheet metals, Journal of Materials Processing Technology 95: 116-121.
7
[8] Takuda H., Mori K., Takakura N., Yamaguchi K., 2000, Finite element analysis of limit strains in biaxial stretching of sheet metals allowing for ductile fracture, International Journal of Mechanical Sciences 42: 785-798.
8
[9] Ozturk F., Lee D., 2004, Analysis of forming limits using ductile fracture criteria, Journal of Materials Processing Technology 147: 397-404.
9
[10] Brun B., Chambard A., Lai M., De Luca P., 1999, Actual and virtual testing techniques for a numerical definition of material, Proceeding of Numisheet 99 Besançon, France.
10
[11] Geiger M., Merklein M., 2003, Determination of forming limit diagrams-A new analysis method for characterization of materials formability, Annals of the CIRP 52: 213-216.
11
[12] Petek A., Pepelnjak T., Kuzman K., 2005, An improved method for determining a forming limit diagram in the digital environment, Journal of Mechanical Engineering 51: 330-345.
12
[13] Pepelnjak T., Petek A., Kuzman K., 2005, Analysis of the forming limit diagram in digital environment, Advanced Material Research 6/8: 697-704.
13
[14] Friedman P.A., Pan J., 2000, Effects of plastic anisotropy and yield criteria on prediction of forming limit curves, International Journal of Mechanical Sciences 42: 29-48.
14
[15] Huang H.M., Pan J., Tang S.C., 2000, Failure prediction in anisotropic sheet metals under forming operations with consideration of rotating principal stretch directions, International Journal of Plasticity 16: 611-633.
15
[16] Cao J., Yao H., Karafillis A., Boyce M.C., 2000, Prediction of localized thinning in sheet metal using a general anisotropic yield criterion, International Journal of Plasticity 16: 1105-1129.
16
[17] Wu P.D., Jain M., Savoie J., Mac Ewen S.R., Tugcu P., Neale K.W., 2003, Evaluation of anisotropic yield function for aluminum sheets, International Journal of Plasticity 19: 121-138.
17
[18] Jang J.S.R., 1993, ANFIS: Adaptive-Network-Based Fuzzy Inference System, IEEE Transactions on Systems, Man, and Cybernetics 23(3): 665-685.
18
[19] Lin J.C., Tai C.C., 1999, The application of neural networks in the prediction of sprint-back in an l-shaped bend, International Journal of Advanced Manufacturing Technology 15: 163-170.
19
[20] Inamdar M., Narasimhan K., Maiti S.K., Singh U.P., 2000, Development of an artificial neural to predict spring back in air vee bending, International Journal of Advanced Manufacturing Technology 16: 376-381.
20
[21] Kim D.H., Kim D.J., Kim B.M., 1999, The application of neural networks and statistical methods to process design in metal forming processes, International Journal of Advanced Manufacturing Technology 15: 886-894.
21
[22] Cao J., Kinsey B., Solla S.A., 2000, Consistent and minimal springback using a stepped binder force trajectory and neural network control, Journal of Engineering Materials and Technology 122: 113-118.
22
[23] Kazan R., Firat M., Tiryaki A.E., 2009, Prediction of spring back in wipe-bending process of sheet metal using neural network, Materials and Design 30: 418-423.
23
[24] Wu C.Y., Hsu Y.C., 2002, Optimal shape design of an extrusion die using polynomial networks and genetic algorithms, International Journal of Advanced Manufacturing Technology 19: 79-87.
24
[25] Yang G., Osakada K., Kurozawa T., 1993, Fuzzy inference model for flow stress of carbon steel, The Japan Society for Technology of Plasticity 34(387): 422-427.
25
[26] Manabe K., Yoshihara S., Yan M., Nishimura H., 1995, Optimization of the variable BHF deep-drawing process by fuzzy model, The Japan Society for Technology of Plasticity 36 (416): 1015-1022.
26
[27] Ong S.K., Vin L.J.D.E., Nee A.Y.C., Kals H.J.J., 1997, Fuzzy set theory applied to bend sequencing for sheet metal bending, Journal of Materials Processing Technology 69: 29-36.
27
[28] Baseri H., Bakhshi-Jooybari M., Rahmani B., 2011, Modeling of spring back in V-die bending process by using fuzzy learning back-propagation algorithm, Expert Systems with Applications 38: 8894-8900.
28
[29] Lu Y.H., Yeh F.H., Li C.L., Wu M.T., 2005, Study of using ANFIS to the prediction in the bore-expanding process, International Journal of Advanced Manufacturing Technology 26: 544-551.
29
[30] Lu Y.H., Yeh F.H., Li C.L., Wu M.T., Liu C.H., 2003, Study of ductile fracture and preform design of upsetting process using adaptive network fuzzy inference system, Journal of Materials Processing Technology 140: 576-582.
30
[31] Hill R., 1948, A theory of yielding and plastic flow of anisotropic metals, Proceedings of the Royal Society of London A 193: 281-297.
31
[32] Narayanasamy R., Narayanan C., 2006, Forming limit diagram for Indian interstitial free steels, Materials and Design 27: 882-899.
32
[33] Triantafyllidis N., Samanta S.K., 1986, Bending effects on flow localization in metallic sheets, Proceedings of the Royal Society of London 406: 205-226.
33
[34] JenabaliJahromi S.A., Nazarboland A., Mansouri E., Abbasi S., 2006, Investigation of formability of low carbon steel sheets by forming limit diagrams, Iranian Journal of Science and Technology 30: 377-385.
34
ORIGINAL_ARTICLE
Spectral Finite Element Method for Free Vibration of Axially Moving Plates Based on First-Order Shear Deformation Theory
In this paper, the free vibration analysis of moderately thick rectangular plates axially moving with constant velocity and subjected to uniform in-plane loads is investigated by the spectral finite element method. Two parallel edges of the plate are assumed to be simply supported and the remaining edges have any arbitrary boundary conditions. Using Hamilton’s principle, three equations of motion for the plate are developed based on first-order shear deformation theory. The equations are transformed from the time domain into the frequency domain by assuming harmonic solutions. Then, the frequency-dependent dynamic shape functions obtained from the exact solution of the governing differential equations is used to develop the spectral stiffness matrix. By solving a non-standard eigenvalue problem, the natural frequencies and the critical speeds of the moving plates are obtained. The exactness and validity of the results are verified by comparing them with the results in previous studies. By the developed method some examples for vibration of stationary and moving moderately thick plates with different boundary conditions are presented. The effects of some parameters such as the axially speed of plate motion, the in-plane forces, aspect ratio and length to thickness ratio on the natural frequencies and the critical speeds of the moving plate are investigated. These results can be used as a benchmark for comparing the accuracy and precision of the other analytical and numerical methods.
http://jsm.iau-arak.ac.ir/article_533182_d347218bd7c71ba7ae94f90277f505cd.pdf
2017-09-01T11:23:20
2020-05-31T11:23:20
490
507
First-order shear deformation theory
Spectral finite element method
Transverse vibration
Axially moving
Dynamic stiffness matrix
Free vibration
M.R
Bahrami
true
1
Civil Engineering Department, Yasouj University, Yasouj, Iran
Civil Engineering Department, Yasouj University, Yasouj, Iran
Civil Engineering Department, Yasouj University, Yasouj, Iran
AUTHOR
S
Hatami
hatami@yu.ac.ir
true
2
Civil Engineering Department, Yasouj University, Yasouj, Iran
Civil Engineering Department, Yasouj University, Yasouj, Iran
Civil Engineering Department, Yasouj University, Yasouj, Iran
LEAD_AUTHOR
[1] Ulsoy A.G., Mote C.D.Jr., 1982, Vibration of wide band saw blades, Journal of Engineering for Industry 104: 71-78.
1
[2] Lengoc L., McCallion H., 1995, Wide bandsaw blade under cutting conditions, part I: vibration of a plate moving in its plane while subjected to tangential edge loading, Journal of Sound and Vibration 186(1): 125-142.
2
[3] Wang X., 1999, Numerical analysis of moving orthotropic thin plates, Computers and Structures 70: 467-486.
3
[4] Luo Z., Hutton S.G., 2002, Formulation of a three-node traveling triangular plate element subjected to gyroscopic and inplane forces, Computers and Structures 80: 1935-1944.
4
[5] Zhou Y.F., Wang Z.M., 2008, Vibration of axially moving viscoelastic plate with parabolically varying thickness, Journal of Sound and Vibration 316: 198-210.
5
[6] Tang Y.Q., Chen L.Q., 2011, Nonlinear free transverse vibrations of in-plane moving plates:
6
without and with internal resonances, Journal of Sound and Vibration 330: 110-126.
7
[7] An C., Su J., 2014, Dynamic analysis of axially moving orthotropic plates: Integral transform solution , Applied Mathematics and Computation 228: 489-507.
8
[8] Eftekhari S.A., Jafari A.A., 2014, High accuracy mixed finite element-differential quadrature method for free vibration of axially moving orthotropic plates loaded by linearly varying in-plane stresses, Transactions B: Mechanical Engineering 21(6): 1933-1954.
9
[9] Lin C.C., 1997, Stability and vibration characteristics of axially moving plates, International Journal of Solids and Structures 34(24): 3179-3190.
10
[10] Luo A.C.J., Hamidzadeh H.R., 2004, Equilibrium and buckling stability for axially traveling plates, Communications in Nonlinear Science and Numerical Simulation 9: 343-360.
11
[11] Marynowski K., 2010, Free vibration analysis of the axially moving Levy-type viscoelastic plate, European Journal of Mechanics A/Solids 29: 879-886.
12
[12] Hatami S., Azhari M., Saadatpour M.M., 2006, Exact and semi-exact finite strip for vibration and dynamic stability of traveling plates with intermediate supports, Advances in Structural Engineering 9(5): 639-651.
13
[13] Hatami S., Azhari M., Saadatpour M.M., 2006, Stability and vibration of elastically supported, axially moving orthotropic plates, Transaction B, Engineering 30(B4): 427-446.
14
[14] Hatami S., Azhari M., Saadatpour M.M., 2007, Free vibration of moving laminated composite plates, Composite Structures 80: 609-620.
15
[15] Hatami S., Ronagh H.R., Azhari M., 2008, Exact free vibration analysis of axially moving viscoelastic plates, Computers and Structures 86: 1738-1746.
16
[16] Saksa T., Jeronen J., 2015, Estimates for divergence velocities of axially moving orthotropic thin plates, Mechanics Based Design of Structures and Machines: An International Journal 43(3): 294-313.
17
[17] Oh H., Lee U., Park D.H., 2004, Dynamic of an axially moving Bernouli-Euler beam: spectral element modeling and analysis, KSME International Journal 18(3): 395-406.
18
[18] Lee U., Kim J., Oh H., 2004, Spectral analysis for the transverse vibration of an axially moving Timoshenko beam, Journal of Sound and Vibration 271: 685-703.
19
[19] Lee U., Oh H., 2005, Dynamics of an axially moving viscoelastic beam subject to axial tension, International Journal of Solids and Structures 42: 2381-2398.
20
[20] Kim J., Cho J., Lee U., Park S., 2003, Modal spectral element formulation for axially moving plates subjected to in-plane axial tension, Computers and Structures 81: 2011-2020.
21
[21] Kwon K., Lee U., 2006, Spectral element modeling and analysis of an axially moving thermoelastic beam-plate, Journal of Mechanics of Materials and Structures 1(1): 605-632.
22
[22] Reddy J.N., 2007, Theory and Analysis of Elastic Plates and Shells, CRC Press, Boca Raton.
23
[23] Reissner E., 1994, On the theory of bending of elastic plates, Journal Math Physics 23(4): 184-191.
24
[24] Lee U., 2009, Spectral Element Method in Structural Dynamics, John Wiley & Sons, Inc.
25
[25] Hosseini Hashemi Sh., Arsanjani M., 2005, Exact characteristic equations for some of classical boundary conditions of vibrating moderately thick rectangular plates, International Journal of Solids and Structures 42: 819-853.
26
[26] Boscolo M., Banerjee J.R., 2011, Dynamic stiffness elements and their applications for plates using ﬁrst order shear deformation theory, Computers and Structures 89: 395-410.
27
[27] Liew K.M., Xiang Y., Kitipornchai S., 1993, Transverse vibration of thick rectangular plates-I comprehensive sets of boundary conditions, Computers and Structures 49(1): 1-29.
28
ORIGINAL_ARTICLE
Reflection and Transmission of Plane Waves at Micropolar Piezothermoelastic Solids
The present investigation analysis a problem of reflection and transmission at an interface of two micropolar orthotropic piezothermoelastic media. The basic equations and constitutive relations for micropolar orthotropic piezothermoelastic media for G-L theory are derived. The expressions for amplitude ratios corresponding to reflected and transmitted waves are derived analytically. The effect of angle of incidence, frequency, micropolarity, thermopiezoelectric interactions on the reflected and transmitted waves are studied numerically for a specific model. Some special cases of interest one are also deduced.
http://jsm.iau-arak.ac.ir/article_533183_28d743399d3ac3cc0d5e3178e024a182.pdf
2017-09-01T11:23:20
2020-05-31T11:23:20
508
526
Orthotropic
Micropolar
Piezothermoelastic
Amplitude ratios
Angle of incidence
R
Kumar
rajneesh_kuk@rediffmail.com
true
1
Department of Mathematics, Kurukshetra University, Kurukshetra 136119, India
Department of Mathematics, Kurukshetra University, Kurukshetra 136119, India
Department of Mathematics, Kurukshetra University, Kurukshetra 136119, India
AUTHOR
M
Kaur
mandeep1125@yahoo.com
true
2
Department of Mathematics, Sri Guru Teg Bahadur Khalsa College, Anandpur Sahib, Punjab 140118, India
Department of Mathematics, Sri Guru Teg Bahadur Khalsa College, Anandpur Sahib, Punjab 140118, India
Department of Mathematics, Sri Guru Teg Bahadur Khalsa College, Anandpur Sahib, Punjab 140118, India
LEAD_AUTHOR
[1] Eringen A.C.,1996, Linear theory of micropolar elasticity, Journal of Mathematics and Mechanics 15: 909-923.
1
[2] Eringen A.C., 1970, Foundations of Micropolar Thermoelasticity, Course Held at the Department for Mechanics of Deformable Bodies, Springer.
2
[3] Eringen A.C., 1992, Microcontinuum Field Theory I, Foundations and Solids, Springer, New York.
3
[4] Eringen A.C., Suhubi E.S., 1964, Non-linear theory of aimple micro-elastic solids, International Journal of Engineering Science 2:189-203.
4
[5] Green A.E., Lindsay K.A., 1972, Thermoelasticity, Journal of Elasticity 2: 1-7.
5
[6] Abd-Alla A.N., Hamdan A.M., Giorgio I., Del Vescovo D., 2014, The mathematical model of reflection and refraction of longitudinal waves in thermo-piezoelectric materials, Archive of Applied Mechanics 84(9): 1229-1248.
6
[7] Abd-Alla A.N., Giorgio I., Galantucci L., Hamdan A.M., Del Vescovo D., 2016, Wave reflection at a free interface in an anisotropic pyroelectric medium with nonclassical thermoelasticity, Continuum Mechanics and Thermodynamics 28(1-2): 67-84.
7
[8] Abd-Alla A.N., Alshaikh F.A., 2009, Reflection and refraction of plane quasi-longitudinal waves at an interface of two piezoelectric media under initial stresses, Archive of Applied Mechanics 79(9): 843-857.
8
[9] Abd-Alla A.N., Alshaikh F.A., 2009, The effect of the initial stresses on the reflection and transmission of plane quasi-vertical transverse waves in piezoelectric materials, Proceedings of World Academy of Science, Engineering and Technology 38: 660-668.
9
[10] Abd-Alla A.N., Alshaikh F.A., Al-Hossain A.Y., 2012, The reflection phenomena of quasi-vertical transverse waves in piezoelectric medium under initial stresses, Meccanica 47(3): 731-744.
10
[11] Iesan D., 1973, The plane micropolar strain of orthotropic elastic solids, Archiwum Mechaniki Stosowanej 25: 547-561.
11
[12] Iesan D., 1974, Torsion of anisotropic micropolar elastic cylinders, Zeitschrift für Angewandte Mathematik und Mechanik 54: 773-779.
12
[13] Iesan D., 1974, Bending of orthotropic micropolar elastic beams by terminal couples, Analele Stiintifice Ale Universitatii Iasi 20: 411-418.
13
[14] Chandrasekharaiah D.S., 1984, A temperature-rate-dependent theory of thermopiezoelectricity, Journal of Thermal Stresses 7: 293-306.
14
[15] Chandrasekharaiah D.S.,1988, A generalized linear thermoelasticity theory for piezoelectric media, Acta Mechanica 71: 39-49.
15
[16] Alshaikh F.A., 2012, The mathematical modelling for studying the influence of the initial stresses and relaxation times on reflection and refraction waves in piezothermoelastic half-space, Applied Mathematics 3(8): 819-832.
16
[17] Alshaikh F.A., 2012, Reflection of quasi vertical transverse waves in the thermo-piezoelectric material under initial stress (Green- Lindsay Model), International Journal of Pure and Applied Sciences and Technology 13: 27-39.
17
[18] Sharma J.N., Walia V., Gupta S.K., 2008, Reflection of piezo-thermoelastic waves from the charge and stress free boundary of a transversely isotropic half space, International Journal of Engineering Science 46(2):131-146.
18
[19] Othman M.I.A., 2015,The effect of rotation on piezothermoelastic medium using different theories, Structural Engineering and Mechanics 56(4): 649-665.
19
[20] Othman M.I.A., Atwa S.Y., Hasona W.M., Ahmed E.A.A., 2015, Propagation of plane waves in generalized piezo-thermoelastic medium: Comparison of different theories, International Journal of Innovative Research in Science, Engineering and Technology 4(4): 2292-2300.
20
[21] Hou P.F., Luo W., Leung Y.T., 2008, A point heat source on the surface of a semi-infinite transverse isotropic piezothermoelastic material, SME Journal of Applied Mechanics 75:1-8.
21
[22] Mindlin R.D., 1961, On the Equations of Motion of Piezoelectric Crystals, Problems of Continuum Mechanics, SIAM, Philadelphia.
22
[23] Kumar R., Choudhary S., 2002, Mechanical sources in orthotropic micropolar continua, Proceedings of the Indian Academy of Sciences (Earth and Planetary Sciences) 111: 133-141.
23
[24] Kumar R., Choudhary S., 2002, Influence of Green’s function for orthotropic micropolar continua, Archive of Mechanics 54: 185-198.
24
[25] Kumar R., Choudhary S., 2002, Dynamical behavior of orthotropic micropolar elastic medium, Journal of Vibration and Control 8: 1053-1069.
25
[26] Kumar R., Choudhary S., 2003, Response of orthotropic microploar elastic medium due to various sources, Meccanica 38: 349-368.
26
[27] Kumar R., Choudhary S., 2004, Response of orthotropic micropolar elastic medium due to time harmonic sources, Sadhana 29: 83-92.
27
[28] Nakamura S., Benedict R., Lakes R., 1984, Finite element method for orthotropic micropolar elasticity, International, Journal of Engineering Science 22: 319-330.
28
[29] Nowacki W., 1966, Couple stress in the theory of thermoelasticity, Irreversible Aspects of Continuum Mechanics and Transfer of Physical Characteristics in Moving Fluids, Springer,Verlag.
29
[30] Nowacki W.,1978, Some general theorems of thermo-piezoelectricity, Journal of Thermal Stresses 1: 171-182.
30
[31] Nowacki W., 1979, Foundations of Linear Piezoelectricity, Electromagnetic Interactions in Elastic Solids, Springer, Wein.
31
[32] Nowacki W., 1983, Mathematical Models of Phenomenological Piezo-Electricity, New Problems in Mechanics of Continua, University of Waterloo Press, Waterloo, Ontario.
32
[33] Slaughter W.S., 2002, The Linearized Theory of Elasticity, Birkhauser, Basel.
33
[34] Chen W.Q., 2000, On the general solution for piezothermoelastic for transverse isotropy with application, ASME, Journal of Applied Mechanics 67: 705-711.
34
[35] Guo X., Wei P., 2014, Effects of initial stress on the reflection and transmission waves at the interface between two piezoelectric half spaces, International Journal of Solids and Structures 51(21): 3735-3751.
35
[36] Pang Y., Wang Y. S., Liu J.X., Fang D. N., 2008, Reflection and refraction of plane waves at the interface between piezoelectric and piezomagnetic media, International Journal of Engineering Science 46: 1098-1110.
36
[37] Kuang Z.B., Yuan X.G.,2011, Reflection and transmission of waves in pyroelectric and piezoelectric materials , Journal of Sound and Vibration 330(6):1111-1120.
37
ORIGINAL_ARTICLE
Effects of Hall Current and Rotation in Modified Couple Stress Generalized Thermoelastic Half Space due to Ramp-Type Heating
The objective is to study the deformation in a homogeneous isotropic modified couple stress thermoelastic rotating medium in the presence of Hall current and magnetic field due to a ramp-type thermal source. The generalized theories of thermoelasticity developed by Lord Shulman (L-S, 1967) and Green Lindsay (G-L, 1972) are used to investigate the problem. Laplace and Fourier transform technique is applied to obtain the solutions of the governing equations. The displacements, stress components, temperature change and mass concentration are obtained in the transformed domain. Numerical inversion technique has been used to obtain the solutions in the physical domain. Effects of Hall current and rotation are shown in a resulting quantities. Some special cases of interest are also deduced.
http://jsm.iau-arak.ac.ir/article_533184_d971b48920e8e74c07c6451e10c48d4d.pdf
2017-09-01T11:23:20
2020-05-31T11:23:20
527
542
Modified couple stress
Generalized thermoelasticity
Laplace and Fourier transforms
Ramp-Type heating
Hall current and magnetic effect
R
Kumar
rajneesh_kuk@rediffmail.com
true
1
Department of Mathematics, Kurukshetra University, Kurukshetra, India
Department of Mathematics, Kurukshetra University, Kurukshetra, India
Department of Mathematics, Kurukshetra University, Kurukshetra, India
LEAD_AUTHOR
Sh
Devi
true
2
Department of Mathematics & Statistics, Himachal Pradesh University, Shimla, India
Department of Mathematics & Statistics, Himachal Pradesh University, Shimla, India
Department of Mathematics & Statistics, Himachal Pradesh University, Shimla, India
AUTHOR
V
Sharma
true
3
Department of Mathematics & Statistics, Himachal Pradesh University, Shimla, India
Department of Mathematics & Statistics, Himachal Pradesh University, Shimla, India
Department of Mathematics & Statistics, Himachal Pradesh University, Shimla, India
AUTHOR
[1] Voigt W., 1887, Theoretische Studien über die Elasticitätsverhältnisse der Krystalle ,Göttingen, Dieterichsche Verlags-buchhandlung , German.
1
[2] Cosserat E., Cosserat F., 1909, Theory of Deformable Bodies, Hermann et Fils, Paris.
2
[3] Mindlin R. D., Tiersten H. F., 1962, Effects of couple-stresses in linear elasticity, Archive for Rational Mechanics and Analysis 11: 415-448.
3
[4] Toupin R. A., 1962, Elastic materials with couple-stresse, Archive for Rational Mechanics and Analysis 11: 385-414.
4
[5] Mindlin R. D., 1964, Micro-structure in linear elasticity, Archive for Rational Mechanics and Analysis 16: 51-78.
5
[6] Koiter W. T., 1964, Couple-stresses in the theory of elasticity, Proceedings of the National Academy of Sciences 67: 17-44.
6
[7] Lakes R. S., 1982, Dynamical study of couple stress effects in human compact bone, Journal of Biomechanical Engineering 104: 6-11.
7
[8] Lam D. C. C., Yang F., Chong A. C. M., Wang J., Tong P., 2003, Experiments and theory in strain gradient elasticity, Journal of the Mechanics and Physics of Solids 51: 1477-508.
8
[9] Yang F., Chong A. C. M., Lam D. C. C., Tong P., 2002, Couple stress based strain gradient theory for elasticity, International Journal of Solids and Structures 39: 2731-2743.
9
[10] Park S. K., Gao X. L., 2006, Bernoulli–Euler beam model based on a modified couple stress theory, Journal of Micromechanics and Microengineering 16: 2355.
10
[11] Ma H. M., Gao X. L., Reddy J. N., 2008, A microstructure-dependent Timoshenko beam model based on a modified couple stress theory, Journal of the Mechanics and Physics of Solids 56: 3379-3391.
11
[12] Ke L. L., Wang Y. S., 2011, Size effect on dynamic stability of functionally graded micro beams based on a modified couple stress theory, Composite Structures 93: 342-350.
12
[13] Chen W., Li L., Xu M., 2011, A modified couple stress model for bending analysis of composite laminated beams with first order shear deformation, Composite Structures 93: 2723-2732.
13
[14] Asghari M., 2012, Geometrically nonlinear micro-plate formulation based on the modified couple stress theory, International Journal of Engineering Science 51: 292-309.
14
[15] Simsek M., Reddy J. N., 2013, Bending and vibration of functionally graded microbeams using a new higher order beam theory and the modified couple stress theory, International Journal of Engineering Science 64: 37-53.
15
[16] Mohammad-Abadi M., Daneshmehr A. R., 2014, Size dependent buckling analysis of micro beams based on modified couple stress theory with high order theories and general boundary conditions, International Journal of Engineering Science 74: 1-14.
16
[17] Shaat M., Mahmoud F. F., Gao X. L., Faheem A. F., 2013, Size-dependent bending analysis of Kirchhoff nano-plates based on a modified couple-stress theory including surface effects, International Journal of Mechanical Sciences 79: 31-37.
17
[18] Nowacki W., 1974a, Dynamical problems of thermo diffusion in solids I, Bulletin of the Polish Academy of Sciences - Technical Sciences 22: 55-64.
18
[19] Nowacki W., 1974b, Dynamical problems of thermo diffusion in solids II, Bulletin of the Polish Academy of Sciences - Technical Sciences 22: 129-135.
19
[20] Nowacki W., 1974c, Dynamical problems of thermo diffusion in solids III, Bulletin of the Polish Academy of Sciences - Technical Sciences 22: 257-266.
20
[21] Nowacki W., 1976, Dynamical problems of thermo diffusion in solids, Engineering Fracture Mechanics 8: 261-266.
21
[22] PodstrigachIa S., 1961, Differential equations of the problem of thermodiffusion in isotropic deformed solid bodies, Dopovidi Akademii Nauk Ukrainskoi SSR 1961: 169-172.
22
[23] Sherief H. H., Saleh H., Hamza F., 2004, The theory of generalized thermoelastic diffusion, International Journal of Engineering Science 42: 591-608.
23
[24] Sherief H. H., Saleh H., 2005, A half-space problem in the theory of generalized thermoelastic diffusion, International Journal of Solids and Structures 42: 4484-4493.
24
[25] Kumar R., Kansal T., 2008, Propagation of Lamb waves in transversely isotropic thermoelastic diffusion plate, International Journal of Solids and Structures 45: 5890-5913.
25
[26] Knopoff L., 1955, The interaction between elastic wave motion and a magnetic field in electrical conductors, Journal of Geophysical Research 60: 441-456.
26
[27] Chadwick P., 1957, Ninth, International Congress of Theoretical and Applied Mechanics 7: 143.
27
[28] Kaliski S., Petykiewicz J., 1959, Equation of motion coupled with the field of temperature in a magnetic field involving mechanical and electrical relaxation for anisotropic bodies, Proceeding Vibration Problems.
28
[29] Zakaria M., 2012, Effects of Hall current and rotation on magneto-micropolar generalized thermoelasticity due to ramp-type heating, International Journal of Applied Electromagnetics 2: 24-32.
29
[30] Zakaria M., 2014 Effect of Hall current on generalized magneto-thermoelasticity micropolar solid subjected to ramp-type heating, International Applied Mechanics 50: 130-144.
30
[31] Honig G., Hirdes U., 1984, A method for the numerical inversion of the Laplace transform, Journal of Computational and Applied Mathematics 10: 113-132.
31
[32] Press W. H., Teukolsky S. A., Vellerling W. T., Flannery B. P., 1986, Numerical Recipes , Cambridge University Press.
32
ORIGINAL_ARTICLE
Influence of the Vacancies on the Buckling Behavior of a Single–Layered Graphene Nanosheet
Graphene is a new class of two-dimensional carbon nanostructure, which holds great promise for the vast applications in many technological fields. It would be one of the prominent new materials for the next generation nano-electronic devices. In this paper the influence of various vacancy defects on the critical buckling load of a single-layered graphene nanosheet is investigated. The nanosheet is modeled on the base of structural mechanics approach which covalent bonds between atoms are modeled as equivalent beam elements in a finite element model. The mechanical properties of the nanosheet extracted from the model are in good agreement with those of other research works. Effect of the number of vacancies and their positions on the critical buckling load is investigated in the present work. Our results show that the location of the vacancy has a significant role in the amount of critical buckling load. Furthermore, as the density of the vacancies increases, the value of critical buckling load decreases and the relationship is approximately linear.
http://jsm.iau-arak.ac.ir/article_533185_558776aac77a4d9fae729d5fdd92ee64.pdf
2017-09-01T11:23:20
2020-05-31T11:23:20
543
554
Graphene
Structural mechanics
Buckling
Vacancy defect
S.M.H
Farrash
true
1
Department of Mechanical Engineering, Faculty of Engineering, Ferdowsi University of Mashhad, Mashhad, Iran
Department of Mechanical Engineering, Faculty of Engineering, Ferdowsi University of Mashhad, Mashhad, Iran
Department of Mechanical Engineering, Faculty of Engineering, Ferdowsi University of Mashhad, Mashhad, Iran
AUTHOR
M
Shariati
mshariati44@um.ac.ir
true
2
Department of Mechanical Engineering, Faculty of Engineering, Ferdowsi University of Mashhad, Mashhad, Iran
Department of Mechanical Engineering, Faculty of Engineering, Ferdowsi University of Mashhad, Mashhad, Iran
Department of Mechanical Engineering, Faculty of Engineering, Ferdowsi University of Mashhad, Mashhad, Iran
LEAD_AUTHOR
J
Rezaeepazhand
jrezaeep@ferdowsi.um.ac.ir
true
3
Department of Mechanical Engineering, Faculty of Engineering, Ferdowsi University of Mashhad, Mashhad, Iran
Department of Mechanical Engineering, Faculty of Engineering, Ferdowsi University of Mashhad, Mashhad, Iran
Department of Mechanical Engineering, Faculty of Engineering, Ferdowsi University of Mashhad, Mashhad, Iran
AUTHOR
[1] Sakhae-pour A., Ahmadian M.T., Naghdabadi R., 2008, Vibrational analysis of single-layered graphene sheets, Nanotechnology 19: 085702.
1
[2] Li C.Y., Chou T.W., 2004, Mass detection using carbon nanotube-based nanomechanical resonators, Applied Physics Letters 84: 5246.
2
[3] Sakhaee-Pour A., Ahmadian M.T., Vafai A., 2008, Applications of single-layered graphene sheets as mass sensors and atomistic dust detectors, Solid State Communications 145: 168-172.
3
[4] Dai H., Hafner J. H., Rinzler A. G., Colbert D. T., 1996, Nanotubes as nanoprobes in scanning probe microscopy, Nature 384: 147-150.
4
[5] Pradhan S.C., Murmu T., 2010, Small scale effect on the buckling analysis of single-layered graphene sheet embedded in an elastic medium based on nonlocal plate theory, Physica E 42: 1293-1301.
5
[6] Tapia A., Peon-Escalante R., Villanueva C., Aviles F., 2012, Influence of vacancies on the elastic properties of a graphene sheet, Computational Materials Science 55: 255-262.
6
[7] Lu Q., Huang R., 2009, Nonlinear mechanics of single-atomic-layer graphene sheets, International Journal of Applied Mechanics 1(3): 443-467.
7
[8] Rapaport D.C., 2004, The Art and Science of Molecular Dynamics Simulation, Cambridge University Press, Cambridge.
8
[9] Frenkel D., Smit B., 2002, Understanding Molecular Simulation: From Algorithms to Applications, Academic Press, San Diego.
9
[10] Hu H., Onyebueke L., Abatan A., 2010, Characterizing and modeling mechanical properties of nanocomposites-review and evaluation, Journal of Minerals and Materials Characterization and Engineering 9(4): 275-319.
10
[11] Li C., Chou T.W.A., 2003, A structural mechanics approach for the analysis of carbon nanotubes, International Journal of Solids and Structures 40: 2487-2499.
11
[12] Sakharova N.A., Pereira A.F.G., Antunes J.M., Fernandes J.V., 2016, Numerical simulation study of the elastic properties of single-walled carbon nanotubes containing vacancy defects, Composites Part B 89: 155-168.
12
[13] Canadijal M., Brcicl M., Brnicl J., 2013, Bending behavior of single layered graphene nanosheets with vacancy defects, Engineering Review 33(1): 9-14.
13
[14] Hemmasizadeh A., Mahzoon M., Hadi E., Khandan R., 2008, A method for developing the equivalent continuum model of a single layer graphene sheet, Thin Solid Films 516: 7636-7640.
14
[15] Shokrieh M.M., Rafiee R., 2010, Prediction of Young’s modulus of graphene sheets and carbon nanotubes using nanoscale continuum mechanics approach, Materials and Design 31: 790-795.
15
[16] Cheng Y.Z., Shi G.Y., 2014, Equivalent mechanical properties of graphene predicted by an improved molecular structural mechanics model, Key Engineering Materials 609-610: 351-356.
16
[17] Boukhvalov D.W., Katsnelson M.I., 2008, Chemical functionalization of graphene with defects, Nano Letters 8: 4373-4379.
17
[18] Zhang X., Jiao K., Sharma P., Yakobson B., 2006, An atomistic and non-classical continuum field theoretic perspective of elastic interactions between defects (force dipoles) of various symmetries and application to graphene, Journal of the Mechanics and Physics of Solids 54: 2304-2329.
18
[19] Lu P., Zhang P.Z., Guo W., 2009 ,Electronic and magnetic properties of zigzag edge graphenenanoribbons with Stone–Wales defects, Physics Letters A 373: 3354-3358.
19
[20] Fan B., Yang X., Zhang R., 2010, Anisotropic mechanical properties and Stone-Wales defects in graphene monolayer: A theoretical study, Physics Letters A 374: 2781-2784.
20
[21] Tsai J.L, Tzeng S.H., Tzou Y.J., 2010, Characterizing the fracture parameters of a graphene sheet using atomistic simulation and continuum mechanics, International Journal of Solids and Structures 47: 503-509.
21
[22] Xiaoa J.R., Staniszewskia J., Gillespie Jr J.W., 2010, Tensile behaviors of graphene sheets and carbon nanotubes with multiple Stone–Wales defects, Materials Science and Engineering: A 527: 715-723.
22
[23] Gelin B.R., 1994, Molecular Modeling of Polymer Structures and Properties, Hanser/Gardner Publishers, Cincinnati.
23
[24] Kalamkarov A.L., Georgiades A.V., Rokkam S.K., Veedu V.P., Ghasemi-Nejhad M.N. , 2006, Analytical and numerical techniques to predict carbon nanotubes properties, International Journal of Solids and Structures 43: 6832-6854.
24
[25] Allinger N.L., Yuh Y.H., Lii J.H., 1989, Molecular mechanics, the MM3 force field for hydrocarbons, Journal of the American Chemical Society 111: 8551-8566.
25
[26] Cornell W.D., Cieplak P., Bayly C.I., 1995, A second generation force-field for the simulation of proteins, nucleic-acids, and organic molecules, Journal of the American Chemical Society 117: 5179-5197.
26
[27] Sakhaee-pour A., 2009, Elastic properties of single-layered graphene sheet, Solid State Communications 149: 91-95.
27
[28] Lier G.V., Alsenoy C.V., Doren V.V., Geerlings P., 2000, Ab initio study of the elastic properties of single-walled carbon nanotubes and graphene, Chemical Physics Letters 326: 181-185.
28
[29] Kudin K.N., Scuseria G.E., Yakobson B.I., 2000, C2F, BN, and C nanoshell elasticity from ab initio computations, Physical Review B 64: 1-10.
29
[30] Xiao J.R., Gama B.A., Gillespie Jr J.W., 2005, An analytical molecular structural mechanics model for the mechanical properties of carbon nanotubes, International Journal of Solids and Structures 42: 3075-3092.
30
[31] Reddy C.D., Rajendran S., Liew K.M., 2005, Equivalent continuum modeling of graphene sheets, International Journal of Nanoscience 4: 631-636.
31
[32] Wu Y., Zhang X., Leung A.Y.T., Zhong W., 2006, An energy-equivalent model on studying the mechanical properties of single-walled carbon nanotubes, Thin-walled structures 44: 667-676.
32
[33] Natsuki T., Tantrakarn K., Endo M., 2004, Prediction of elastic properties for single walled carbon nanotubes, Carbon 42: 39-45.
33
[34] Chen W.F., Lui E.M., 1987, Structural Stability, Theory and Application, Elsevier Science Publishing Co. Inc., New York.
34
ORIGINAL_ARTICLE
Influence of Heterogeneity on Rayleigh Wave Propagation in an Incompressible Medium Bonded Between Two Half-Spaces
The present investigation deals with the propagation of Rayleigh wave in an incompressible medium bonded between two half-spaces. Variation in elastic parameters of the layer is taken linear form. The solution for layer and half-space are obtained analytically. Frequency equation for Rayleigh waves has been obtained. It is observed that the heterogeneity and width of the incompressible medium has significant effect on the phase velocity of Rayleigh waves. Some particular cases have been deduced. Results have been presented by the means of graph. Also the findings are exhibited through graphical representation and surface plot.
http://jsm.iau-arak.ac.ir/article_533186_1cdccd9cae74ea05661a9c074c476a64.pdf
2017-09-01T11:23:20
2020-05-31T11:23:20
555
567
Heterogeneity
Incompressibility
Frequency equation
Rayleigh waves
S.A
Sahu
true
1
Department of Applied Mathematics, Indian School of Mines, Dhanbad-826004, India
Department of Applied Mathematics, Indian School of Mines, Dhanbad-826004, India
Department of Applied Mathematics, Indian School of Mines, Dhanbad-826004, India
AUTHOR
A
Singhal
ism.abhinav@gmail.com
true
2
Department of Applied Mathematics, Indian School of Mines, Dhanbad-826004, India
Department of Applied Mathematics, Indian School of Mines, Dhanbad-826004, India
Department of Applied Mathematics, Indian School of Mines, Dhanbad-826004, India
LEAD_AUTHOR
S
Chaudhary
true
3
Department of Applied Mathematics, Indian School of Mines, Dhanbad-826004, India
Department of Applied Mathematics, Indian School of Mines, Dhanbad-826004, India
Department of Applied Mathematics, Indian School of Mines, Dhanbad-826004, India
AUTHOR
[1] Rayleigh L., 1885, On waves propagating along the plane surface of an elastic solid, Proceedings of the Royal Society of London, Series A 17: 4-11.
1
[2] Bullen K.E., 1947, An Introduction to the Theory of Seismology, Cambridge University Press.
2
[3] Ewing W.M., Jardetzky W.S., Press F., 1957, Elastic Waves in Layered Media, McGraw-Hill, New York.
3
[4] Love A.E.H., 1944, A Treatise on the Mathematical Theory of Elasicity, Dover Publication, New York.
4
[5] Stonely R., 1924, Elastic waves at the surface of separation of two solids (transverse waves in an internal stratum), Proceedings of the Royal Society of London.
5
[6] Stonely R., 1926, The effect of ocean on Rayleigh waves, Monthly Notices of the Royal Astronomical Society 1: 349-356.
6
[7] Biot M.A., 1952, The interaction of Rayleigh and Stonely waves in ocean bottom, Bulletin of the Seismological Society of America 42: 81-92.
7
[8] Tolstoy I., 1954, Dispersive properties of fluid layer over lying a semi-infinite elastic solid, Bulletin of the Seismological Society of America 44: 493-512.
8
[9] Abubaker I., Hudson J.A., 1961, Dispersive properties of liquid overlying an aelotropic half-space,The Royal Astronomical Society 5: 218-229.
9
[10] Carcoine J.M., 1992, Rayleigh waves in isotropic viscoelastic media, Geophysical Journal International 108:453-464.
10
[11] Destrade M., 2001, Surface waves in orthotropic incompressible materials, Acoustical Society of America 110(2): 837.
11
[12] Rudzki M.P., 2003, On the propagation of an elastic surface wave in a transversely isotropic medium, Journal of Applied Geophysics 54: 185-190.
12
[13] Vinh P.C., Ogden R.W., 2004, Formulas for Rayleigh wave speed in orthotropic elastic solids, Archives of Mechanics 56(3): 247-265.
13
[14] Singh J., Kumar R., 2013, Propagation of Rayleigh waves due to the presence of a rigid barrier in a shallow ocean, International Journal of Engineering and Technology 5(2): 917-924.
14
[15] Gupta I.S., 2013, Propagation of Rayleigh waves in a prestressed layer over a prestressed half-space, Frontiers in Geotechnical Engineering 2(1): 16-22.
15
[16] Vinh P.C., Anh V.T.N., Thanh V.P., 2014, Rayleigh waves in an isotropic elastic half-space coated by a thin isotropic elastic layer with smooth contact, Wave Motion 51: 496-504.
16
[17] Pal P.C., Kumar S., Bose S., 2015, Propagation of Rayleigh waves in anisotropic layer overlying a semi-infinite sandy medium, Ain Shams Engineering Journal 6(2): 621-627.
17
[18] Gupta I.S., Kumar A., 2014, Propagation of Rayleigh wave over the pre-stressed surface of a heterogeneous medium, Proceeding of 59th Congress of ISTAM.
18
[19] Kakar R., Kakar S., 2013, Rayleigh waves in non-homogeneous granular medium, Journal of Chemical, Biological and Physical Sciences 3(1): 464-478.
19
[20] Dutta S., 1963, Rayleigh waves in a two layer heterogeneous medium, Bulletin of the Seismological Society of America 53(3): 517-526.
20
[21] Singh B., 2014, Wave propagation in an incompressible transversely isotropic thermoelastic solid, Meccanica 50:1817-1825.
21
[22] Vinh P.C., Link N.T.K., 2013, Rayleigh waves in an incompressible elastic half-space overlaid with a water layer under the effect of gravity, Meccanica 48: 2051-2060.
22
[23] Singh B., 2013, Rayleigh wave in an initially stressed transversely isotropic dissipative half-space, Journal of Solid Mechanics 5(3): 270-277.
23
[24] Kakar R., 2015, Rayleigh waves in a homogeneous magneto-thermo voigt-type viscoelastic half-space under initial surface stresses, Journal of Solid Mechanics 7(3): 255-267.
24
ORIGINAL_ARTICLE
Analysis of Rectangular Stiffened Plates Based on FSDT and Meshless Collocation Method
In this paper, bending analysis of concentric and eccentric beam stiffened square and rectangular plate using the meshless collocation method has been investigated. For detecting the governing equations of plate and beams, Mindlin plate theory and Timoshenko beam theory have been used, respectively, with the stiffness matrices of the plate and the beams obtained separately. The stiffness matrices of the plate and the beams were combined together using transformation equations to obtain a total stiffness matrix. Being independent of the mesh along with its simpler implementation process, compared to the other numerical methods, the meshless collocation method was used for analyzing the beam stiffened plate. In order to produce meshless shape functions, radial point interpolation method was used where moment matrix singularity problem of the polynomial interpolation method was fixed. Also, the Multiquadric radial basis function was used for point interpolations. Used to have solutions of increased accuracy and stability were polynomials with the radial basis functions. Several examples are presented to demonstrate the accuracy of the method used to analyze stiffened plates with the accuracy of the results showing acceptable accuracy that the employed method in analyzing concentric and eccentric beam stiffened square and rectangular plates.
http://jsm.iau-arak.ac.ir/article_533187_941593adfb53fefff6a1f1c465f734e1.pdf
2017-09-01T11:23:20
2020-05-31T11:23:20
568
586
Beam stiffened plate
Concentric and eccentric stiffener
Meshless collocation method
Radial point interpolation
Sh
Hosseini
true
1
Faculty of Mechanical Engineering, University of Kashan, Kashan, Iran
Faculty of Mechanical Engineering, University of Kashan, Kashan, Iran
Faculty of Mechanical Engineering, University of Kashan, Kashan, Iran
AUTHOR
B
Soltani
bsoltani@kashanu.ac.ir
true
2
Faculty of Mechanical Engineering, University of Kashan,Kashan,Iran
Faculty of Mechanical Engineering, University of Kashan,Kashan,Iran
Faculty of Mechanical Engineering, University of Kashan,Kashan,Iran
LEAD_AUTHOR
[1] Kendrick S., 1995, The analysis of a flat plated grillage, European Shipbuilding 5: 4-10.
1
[2] Schade H., 1940, The orthogonally stiffened plate under uniform lateral load, Journal of Applied Mechanics ASME 62: 143-146.
2
[3] Peng L., Kitipornchai S., Liew K., 2005, Analysis of rectangular stiffened plates under uniform lateral load based on FSDT and element-free Galerkin method, International Journal of Mechanical Sciences 47(2): 251-276.
3
[4] Rossow M., Ibrahimkhail A., 1978, Constraint method analysis of stiffened plates, Computers and Structures 8(1): 51-60.
4
[5] Sadek E. A., Tawfik S. A., 2000, A finite element model for the analysis of stiffened laminated plates, Computers and Structures 75(4): 369-383.
5
[6] Liew K. M., Lam K. Y., Chow S. T., 1990, Free vibration analysis of rectangular plates using orthogonal plate function, Computers and Structures 34(1): 79-85.
6
[7] Aksu G., Ali R., 1976, Free vibration analysis of stiffened plates using finite difference method, Journal of Sound and Vibration 48(1): 15-25.
7
[8] McBean R., 1968, Analysis of Stiffened Plates by the Finite Element Method, Thesis, Stanford University.
8
[9] Nguyen-Thoi T., Bui-Xuan T., Phung-Van P., Nguyen-Xuan H., Ngo-Thanh P., 2013, Static, free vibration and buckling analyses of stiffened plates by CS-FEM-DSG3 using triangular elements, Computers and Structures 125: 100-113.
9
[10] Azizian Z., Dawe D., 1985, The analytical strip method of solution for stiffened rectangular plates using finite strip method, Computers and structures 21(3): 423-436.
10
[11] Mukhopadhyay M., 1989, Vibration and stability of analysis of stiffened plates by semi-analytic finite difference method, Part II: Consideration of bending and axial displacements, Journal of Sound and Vibration 130: 41-53.
11
[12] Wen P., Aliabadi M., Young A., 2002, Boundary element analysis of shear deformable stiffened plates, Engineering Analysis with Boundary Elements 26(6): 511-520.
12
[13] Liu G., 2005, An Introduction to Meshfree Methods and Their Programming, Springer.
13
[14] Liu G., 2009, Mesh Free Methods: Moving Beyond the Finite Element Method, CRC Press.
14
[15] Ardestani M. M., Soltani B., Shams S., 2014, Analysis of functionally graded stiffened plates based on FSDT utilizing reproducing kernel particle method, Composite Structures 112: 231-240.
15
[16] Kansa E. J., 1990, Multiquadrics-a scattered data approximation scheme with applications to computational fluid-dynamics-I, Computers and Mathematics with Applications 19(8): 127-145.
16
[17] Hardy R. L., 1971, Multiquadric equations of topography and other irregular surfaces, Journal of Geophysical Research 78(8): 1905-1915.
17
[18] Franke R., 1982, Scattered data interpolation:tests of some methods, Mathematics of Computation 38(157): 181-200.
18
[19] Fasshauer G., 1997, Solving partial differential equations by collocation with radial basis functions, Proceedings of the 3rd International Conference on Curves and Surfaces, Surface Fitting and Multiresolution Methods.
19
[20] Ferreiraa A. J. M., Batrab R. C., Roquea C. M. C., Qianc L. F., Martins P. A. L. S., 2005, Static analysis of functionally graded plates using third-order shear deformation theory and a meshless method, Composite Structures 69(4): 449-457.
20
[21] Chang S., 1973, Analysis of Eccentrically Stiffened Plates, Thesis, University of Missouri, Columbia.
21
[22] Deb A., Booton M., 1988, Finite element models for stiffened plates under transverse loading, Computers and Structures 28(3): 361-372.
22
[23] Biswal K. C., Ghosh A. K., 1994, Finite element analysis for stiffened laminated plates using higher order shear deformation theory, Computers and Structures 53(1): 161-171.
23
ORIGINAL_ARTICLE
Predicting Depth and Path of Subsurface Crack Propagation at Gear Tooth Flank under Cyclic Contact Loading
In this paper, a two-dimensional computational model is proposed for predicting the initiation position and propagation path of subsurface crack of spur gear tooth flank. In order to simulate the contact of teeth, an equivalent model of two contacting cylinders is used. The problem is assumed to be under linear elastic fracture mechanic conditions and finite element method is used for numerical study. An initial subsurface crack is considered in the model at different depths. For each position of the initial crack, moving contact loading is applied to the part and value of ∆KII is obtained for the crack tips. The position of maximum ∆KII is selected as the location of crack initiation. It is shown that the subsurface crack appears at the maximum shear stress point. The maximum tangential stress criterion is used to determine the crack growth angle. The crack is incrementally propagated until the crack tip reaches the part surface and a cavity is formed on the tooth surface. Analyzing the stress field and stress intensity factors are performed in ABAQUS software. The obtained results for the depth and shape of the spall are in good agreement with the experimental results reported in literature.
http://jsm.iau-arak.ac.ir/article_533188_0da6d4d89d28bbf6c04d421746c407af.pdf
2017-09-01T11:23:20
2020-05-31T11:23:20
587
598
Spalling
Crack initiation and propagation
Gear
Finite Element
Fatigue
H
Heirani
true
1
Mechanical Engineering Department, Faculty of Engineering, Ferdowsi University of Mashhad, Mashhad, Iran
Mechanical Engineering Department, Faculty of Engineering, Ferdowsi University of Mashhad, Mashhad, Iran
Mechanical Engineering Department, Faculty of Engineering, Ferdowsi University of Mashhad, Mashhad, Iran
AUTHOR
Kh
Farhangdoost
farhang@um.ac.ir
true
2
Mechanical Engineering Department, Faculty of Engineering, Ferdowsi University of Mashhad, Mashhad, Iran
Mechanical Engineering Department, Faculty of Engineering, Ferdowsi University of Mashhad, Mashhad, Iran
Mechanical Engineering Department, Faculty of Engineering, Ferdowsi University of Mashhad, Mashhad, Iran
LEAD_AUTHOR
[1] Boresi A.P., Schmidt R.J., Sidebottom O.M., 1993, Advanced Mechanics of Materials, John wiley & sons, Hoboken.
1
[2] Spitas V., Spitas C., 2007, Numerical and experimental comparative study of strength-optimised AGMA and FZG spurgears, Acta Mechanica 193: 113-126.
2
[3] Spitas C., Spitas V., Amani A., Rajabalinejad M., 2014, Parametric investigation of the combined effect of whole depth and cutter tip radius on the bending strength of 20◦ involute gear teeth, Acta Mechanica 225: 361-371.
3
[4] Ding Y., Rieger N.F., 2003, Spalling formation mechanism for gears, Wear 254: 1307-1317.
4
[5] Way S., 1935, Pitting due to rolling contact, Journal of Applied Mechanics, Transactions of ASME 57: A49-A58.
5
[6] Sraml M., Flasker J., Potrc I., 2003, Numerical procedure for predicting the rolling contact fatigue crack initiation, International Journal of Fatigue 25: 585-595.
6
[7] Sraml M., Flasker J., 2007, Computational approach to contact fatigue damage initiation analysis of gear teeth flanks, International Journal of Advanced Manufacturing Technology 31: 1066-1075.
7
[8] Alfredsson B., Dahlberg J., Olsson M., 2008, The role of a single surface asperity in rolling contact fatigue, Wear 264: 757-762.
8
[9] Ding Y., Gear J.A., 2009, Spalling depth prediction model, Wear 267: 1181-1190.
9
[10] Beheshti A., Khonsari M.M., 2011, On the prediction of fatigue crack initiation in rolling/sliding contacts with provision for loading sequence effect, Tribology International 44: 1620-1628.
10
[11] Moorthy V., Shaw B.A.,2013, An observation on the initiation of micro-pitting damage in as-ground and coated gears during contact fatigue, Wear 297: 878-884.
11
[12] Glodez S., Winter H., Stuwe H.P., 1997, A fracture mechanics model for the wear of gear flanks by pitting, Wear 208: 177-183.
12
[13] Glodez S., Ren Z., 1998, Modelling of crack growth under cyclic contact loading, Theoretical and Applied Fracture Mechanics 30: 159-173.
13
[14] Flasker J., Fajdiga G., Glodez S., Hellen T.K., 2001, Numerical simulation of surface pitting due to contact loading, International Journal of Fatigue 23: 599-605.
14
[15] Ren Z., Glodez S., Fajdiga G., Ulbin M., 2002, Surface initiated crack growth simulation in moving lubricated contact, Theoretical and Applied Fracture Mechanics 38: 141-149.
15
[16] Aslantas K., Tasgetiren S., 2004, A study of spur gear pitting formation and life prediction, Wear 257: 1167-1175.
16
[17] Glodez S., Abersek B., Flasker J., Ren Z., 2004, Evaluation of the service life of gears in regard to surface pitting, Engineering Fracture Mechanics 71: 429-438.
17
[18] Fajdiga G., Flasker J., Glodez S., 2004, The influence of different parameters on surface pitting of contacting mechanical elements, Engineering Fracture Mechanics 71: 747-758.
18
[19] Jurenka J., Spaniel M., 2014, Advanced FE model for simulation of pitting crack growth, Advances in Engineering Software 72: 218-225.
19
[20] Glodez S., Ren Z., Flasker J., 1998, Simulation of surface pitting due to contact loading, International Journal for Numerical Methods in Engineering 43: 33-50.
20
[21] Fajdiga G., Glodez Kramar, J., 2007, Pitting formation due to surface and subsurface initiated fatigue crack growth in contacting mechanical elements, Wear 262: 1217-1224.
21
[22] Fajdiga G., Sraml M., 2009, Fatigue crack initiation and propagation under cyclic contact loading, Engineering Fracture Mechanics 76: 1320-1335.
22
[23] Hannes D., Alfredsson B., 2013, Modelling of surface initiated rolling contact fatigue damage, Procedia Engineering 66: 766-774.
23
[24] Hannes D., Alfredsson B., 2012, Surface initiated rolling contact fatigue based on the asperity point load mechanism - A parameter study, Wear 294: 457-468.
24
[25] Davis J.R., 2005, Gear Materials, Properties, and Manufacture, ASM International, First Edition.
25
[26] Asi O., 2006, Fatigue failure of a helical gear in a gearbox, Engineering Failure Analysis 13: 1116-1125.
26
[27] Moorthy V., Shaw B.A., 2012, Contact fatigue performance of helical gears with surface coatings, Wear 276-277: 130-140.
27
[28] Budynas R.G., Nisbett J.K., 2011, Shigley's Mechanical Engineering Design, McGraw-Hill, New York.
28
[29] Abaqus/CAE User’s Manual, Version 6.12, 2012.
29
[30] Rebbechi B., Oswald F.B., Townsend D.P., 1996, Measurement of gear tooth dynamic friction, NASA Technical Report ARL-TR-1165.
30
[31] Bomidi J.A.R., Sadeghi F., 2014, Three-demensional finite element elastic-plastic model for subsurface initiated spalling in rolling contacts, Journal of Tribology 136: 011402-0114011.
31
[32] Juvinall R.C., Marshek K.M., 2012, Fundamentals of Machine Component Design, John wiley & sons, Hoboken.
32
[33] Johnson K.L., 1985, Contact Mechanics, Cambridge University Press, Cambridge.
33
[34] Richard H.A., Fulland M., Sander M., 2005, Theoretical crack path prediction, Fatigue & Fracture of Engineering Materials & Structures 28: 3-12.
34
[35] Erdogan F., Sih G.C., 1963, On the crack extension in plates under plane loading and transverse shear, Journal of Basic Engineering 85: 519-525.
35
[36] Hertzberg R.W., 1996, Deformation and Fracture Mechanics of Engineering Materials, John Wiley & Sons, New Jersey.
36
[37] Tanaka K., 1974, Fatigue crack propagation from a crack inclined to the cyclic tensile axis, Engineering Fracture Mechanics 6: 493-507.
37
ORIGINAL_ARTICLE
A New Approach to Buckling Analysis of Lattice Composite Structures
Buckling strength of composite latticed cylindrical shells is one of the important parameters for studying the failure of these structures. In this paper, new governing differential equations are derived for latticed cylindrical shells and their critical buckling axial loads. The nested structure under compressive axial buckling load was analyzed. Finite Element Method (FEM) was applied to model the structure in order to verify the analytical results. The obtained results were validated based upon the results of previous case studies in literature. For the squared type of lattice composite shells, a new formula for the buckling load was developed and its value was compared to the critical load, using FEM with 3D beam elements. The processes were carried out for three different materials of Carbon/Epoxy, Kevlar/Epoxy and EGlass/Epoxy.
http://jsm.iau-arak.ac.ir/article_533189_5a662eaf70cff812d8599d9f6085ecfa.pdf
2017-09-01T11:23:20
2020-05-31T11:23:20
599
607
Lattice structures
Composite materials
Finite Element Method
Buckling loading
S.A
Galehdari
ali.galehdari@pmc.iaun.ac.ir
true
1
Department of Mechanical Engineering, Najafabad Branch ,Islamic Azad University, Najafabad, Iran----
Modern Manufacturing Technologies Research Center, Najafabad Branch ,Islamic Azad University, Najafabad, Iran
Department of Mechanical Engineering, Najafabad Branch ,Islamic Azad University, Najafabad, Iran----
Modern Manufacturing Technologies Research Center, Najafabad Branch ,Islamic Azad University, Najafabad, Iran
Department of Mechanical Engineering, Najafabad Branch ,Islamic Azad University, Najafabad, Iran----
Modern Manufacturing Technologies Research Center, Najafabad Branch ,Islamic Azad University, Najafabad, Iran
LEAD_AUTHOR
A.H
Hashemian
true
2
Mechanical and Aerospace Engineering Department, Science and Research Branch, Islamic Azad University ,Tehran, Iran
Mechanical and Aerospace Engineering Department, Science and Research Branch, Islamic Azad University ,Tehran, Iran
Mechanical and Aerospace Engineering Department, Science and Research Branch, Islamic Azad University ,Tehran, Iran
AUTHOR
J.E
Jam
true
3
Composite Material & Technology, Malek Ashtar University of Technology, Tehran, Iran
Composite Material & Technology, Malek Ashtar University of Technology, Tehran, Iran
Composite Material & Technology, Malek Ashtar University of Technology, Tehran, Iran
AUTHOR
A
Atrian
true
4
Department of Mechanical Engineering, Najafabad Branch ,Islamic Azad University, Najafabad, Iran----
Modern Manufacturing Technologies Research Center, Najafabad Branch ,Islamic Azad University, Najafabad, Iran
Department of Mechanical Engineering, Najafabad Branch ,Islamic Azad University, Najafabad, Iran----
Modern Manufacturing Technologies Research Center, Najafabad Branch ,Islamic Azad University, Najafabad, Iran
Department of Mechanical Engineering, Najafabad Branch ,Islamic Azad University, Najafabad, Iran----
Modern Manufacturing Technologies Research Center, Najafabad Branch ,Islamic Azad University, Najafabad, Iran
AUTHOR
[1] Rehfield L.W., Deo R.B., Renieri G., 1980, Continuous filament advanced composite isogrid: A promising structural concept, Fibrous Composites in Structural Design 1980: 215-239.
1
[2] Hosmura T., Kawashima T., Mori D., 1981, New CFRP structural element, Japan-US Conferences on Composite Materials, Tokyo.
2
[3] Hayashi T., 1981, Buckling strength of cylindrical geodesic structures, Japan-US conference on Composite Materials, Tokyo.
3
[4] Kobayashi S., 1982, Compressive buckling of graphite-epoxy composite circular cylindrical shell, Progress in Science and Engineering of Composites, Tokyo.
4
[5] Simitses G. J., 1984, An Introduction to the Elastic Stability of Structures, Robert E. Krieger Publishing Company.
5
[6] Onoda J., 1985, Optimal laminate configurations of cylindrical shell for axial buckling, AIAA Journal 23(7):1093-1098.
6
[7] Chin H. B., Prevorsek D. C., 1988, Design of composite hull structures for underwater service, Proceeding of the Fourth Japan-U.S Conference on Composite Material.
7
[8] Philips J.L., Gurdal Z., 1990, Structural analysis and optimum design of geodesically stiffened composite panels, NASA Report CCMS-90-05.
8
[9] Graham J., 1993, Preliminary techniques for ring and stinger stiffened cylindrical shells, NASA report TM-108399.
9
[10] Pshenichnov G.I., Klabukova L. S., Ul’yanova V. I., 1998, Solving boundary value problems concerning the bending of latticed rectangular plates by the decomposition method, Journal of Computational Mathematics and Mathematical Physics 38(3): 419-434.
10
[11] Holzer S. M., Kavi S. A., Tongtoe S., Dolan J.D., 1994, What controls the ultimate load of a glulam dome, Proceedings of the IASS Symposium’94, Atlanta.
11
[12] Vasiliev V.V., Barynin V. A., Rasin A.F., 2001, Anisogrid lattice structures- survey of development and application, Journal of Composite Structures 54: 361-370.
12
[13] Vasiliev V.V., Rasin A.F. ,2006, Anisogrid composite lattice structures for spacecraft and aircraft applications, Journal of Composite Structures 76:182-189.
13
[14] Totaro G., De Nicola F., 2005, Optimization and manufacturing of composite cylindrical anisogrid structures, AIAA/CIRA 13th International Space Planes and Hypersonics Systems and Technologies, Centro Italiano Ricerche Aerospaziali, Capua, Italy.
14
[15] Fan H., Yang W., Wang B., Yan Y., Fu Q., Fang D., Zhuang Z. ,2006, Design and manufacturing of a composite lattice structure reinforced by continuous carbon fibers, Tsinghua Science and Technology 11(5): 515-522.
15
[16] Akbari Alashti R., Latifi Rostami S. A., Rahimi G. H., 2013, Buckling analysis of composite lattice cylindrical shells with ribs defects, IJE Transactions A: Basics 26(4): 411-420.
16
[17] Ghorbanpour Arani A., Moslemian R., Arefmanesh A., 2009, Compressive behavior of glass/epoxy composite laminates with single delimitation, Journal of Solid Mechanics 1:84-90.
17
[18] Jam J. E., Kia S. M., Ghorbanpour Arani A., Emdadi M., 2011, Elastic buckling of circular annular plate reinforced with carbon nanotubes, Polymer Composites 32: 896-903.
18
[19] Qatu M. S., 2004, Vibration of Laminated Shells and Plates, First Edition, Elsevier Science Ltd.
19
[20] Hou A., 1997, Strength of Composite Lattice Structures, Ph.D Thesis, Georgia Institute of Technology.
20
[21] Hou A., Gramoll K., 1998, Compressive strength of composite lattice structures, Journal of Reinforced Plastics and Composites 17: 462-483.
21
[22] Leissa A. W., 1973, Vibration of Shells, National Aeronautics and Space Administration , NASA, Washington, United States, NASA SP-288.
22
[23] Ansys Release 11.0 Inc, Company.
23
[24] Jones R. M., 1999, Mechanics of Composite Materials, Material and Sciences Series, Taylor & Francis Inc.
24
ORIGINAL_ARTICLE
An Upper Bound Analysis of Sandwich Sheet Rolling Process
In this research, flat rolling process of bonded sandwich sheets is investigated by the method of upper bound. A kinematically admissible velocity field is developed for a single layer sheet and is extended into the rolling of the symmetrical sandwich sheets. The internal, shear and frictional power terms are derived and they are used in the upper bound model. Through the analysis, the rolling torque, the roll separating force and the thickness of each layer at the exit of deformation are determined. The validity of the proposed analytical method is discussed by comparing the theoretical predictions with the experimental data found in the literature and by the finite element method. It is shown that the accuracy of the newly developed analytical model is good.
http://jsm.iau-arak.ac.ir/article_533190_0b49a0ec0df0b72d8ae7877376cc3a09.pdf
2017-09-01T11:23:20
2020-05-31T11:23:20
608
618
Flat rolling
Sandwich sheet
Upper bound method
H
Haghighat
hhaghighat@razi.ac.ir
true
1
Mechanical Engineering Department, Razi University, Kermanshah, Iran
Mechanical Engineering Department, Razi University, Kermanshah, Iran
Mechanical Engineering Department, Razi University, Kermanshah, Iran
LEAD_AUTHOR
P
Saadati
true
2
Mechanical Engineering Department, Razi University, Kermanshah, Iran
Mechanical Engineering Department, Razi University, Kermanshah, Iran
Mechanical Engineering Department, Razi University, Kermanshah, Iran
AUTHOR
Avitzur B., Pachla W., 1986, The upper bound approach to plane strain problems using linear and rotational velocity fields-part I: Basic concepts, Journal of Engineering for Industry 108: 295-306.
1
[2] Avitzur B., Pachla W., 1986, The upper bound approach to plane strain problems using linear and rotational velocity fields- part II: Application, Journal of Engineering for Industry 108: 307-316.
2
[3] Hwang Y.M., Chen T.H., Hsu H.S., 1996, Analysis of asymmetrical clad sheet rolling by stream function method, International Journal of Mechanical Sciences 38: 443-460.
3
[4] Hwang Y.M., Hsu H.H., Lee H.J., 1996, Analysis of plastic instability during sandwich sheet rolling, International Journal of Machine Tools and Manufacture 36: 47-62.
4
[5] Hwang Y.M., Hsu H.H., Lee H.J., 1995, Analysis of sandwich sheet rolling by stream function method, International Journal of Mechanical Sciences 37: 297-315.
5
[6] Hwang Y.M., Hsu H.H., Hwang Y.L., 2000, Analytical and experimental study on bonding behavior at the roll gap during complex rolling of sandwich sheets, International Journal of Mechanical Sciences 42: 2417-2437.
6
[7] Martins P.A.F., Manuel Barata Marques M.J., 1999, Upper bound analysis of plane strain rolling using a flow function and the weighted residuals method, International Journal for Numerical Methods in Engineering 44: 1671-1683.
7
[8] Dogruoglu A.N., 2001, On constructing kinematically admissible velocity fields in cold sheet rolling, Journal of Materials Processing Technology 110: 287-299.
8
[9] Maleki H., Bagherzadeh S., Mollaei-Dariani B., Abrinia K., 2013, Analysis of bonding behavior and critical reduction of two-layer strips in clad cold rolling process, Journal of Materials Engineering and Performance 22: 917-925.
9
[10] Zhang S., Song B., Wang X., Zhao D., 2014, Analysis of plate rolling by MY criterion and global weighted velocity field, Applied Mathematical Modelling 38: 3485-3494.
10
[11] Hwang Y.M., Kiuchi M., 1992, Analysis of asymmetrical complex rolling of multi-layer sheet by upper bound method, The Journal of the Chinese Society of Mechanical Engineers 13: 33-45.
11
[12] Al Salehi F.A., Firbank T.C., Lancaster P.G., 1973, An experimental determination of the roll pressure distributions in cold rolling, International Journal of Mechanical Sciences 15: 693-700.
12
ORIGINAL_ARTICLE
Transference of SH-Waves in Fluid Saturated Porous Medium Sandwiched Between Heterogeneous Half-Spaces
A mathematical model is considered to investigate the behavior of horizontally polarized shear waves (SH-waves) in fluid saturated porous medium sandwiched between heterogeneous half-spaces. Heterogeneity in the upper half-space is due to linear variation of elastic parameters, whereas quadratic variation has been considered for lower half-space. The method of separation of variables and Whittaker’s function are used to get an analytical solution for the considered problem. Frequency equation of SH waves in considered model has been obtained. Also, frequency equations have been derived for several particular cases. It is observed that the heterogeneity and porosity have significant effect on the phase velocity of SH-waves. In particular, heterogeneity and porosity increases the phase velocity of SH-waves. Obtained result is matched with classical Love wave equation. Graphical representation is done efficiently to explain the findings. Also the surface plot is added to exhibit the velocity profile of SH-waves in different cases.
http://jsm.iau-arak.ac.ir/article_533191_9ed9a6ad128a28b6a3fc003cde2300d8.pdf
2017-09-01T11:23:20
2020-05-31T11:23:20
619
631
Heterogeneity
SH-waves
Frequency equation
Porosity
Fluid saturated medium
Whittaker function
S.A
Sahu
true
1
Department of Applied Mathematics, Indian Institute of Technology (ISM), Dhanbad, India
Department of Applied Mathematics, Indian Institute of Technology (ISM), Dhanbad, India
Department of Applied Mathematics, Indian Institute of Technology (ISM), Dhanbad, India
AUTHOR
S
Chaudhary
soniya.ism14@gmail.com
true
2
Department of Applied Mathematics, Indian Institute of Technology (ISM), Dhanbad, India
Department of Applied Mathematics, Indian Institute of Technology (ISM), Dhanbad, India
Department of Applied Mathematics, Indian Institute of Technology (ISM), Dhanbad, India
LEAD_AUTHOR
P.K
Saroj
pksaroj.ism@gmail.com
true
3
Department of Applied Mathematics, Indian Institute of Technology (ISM), Dhanbad, India
Department of Applied Mathematics, Indian Institute of Technology (ISM), Dhanbad, India
Department of Applied Mathematics, Indian Institute of Technology (ISM), Dhanbad, India
AUTHOR
A
Chattopadhyay
true
4
Department of Applied Mathematics, Indian Institute of Technology (ISM), Dhanbad, India
Department of Applied Mathematics, Indian Institute of Technology (ISM), Dhanbad, India
Department of Applied Mathematics, Indian Institute of Technology (ISM), Dhanbad, India
AUTHOR
[1] Biot M.A., 1956, Theory of propagation of elastic waves in a fluid saturated porous solid I: Low frequency range, The Journal of the Acoustical Society of America 28(2): 168-178.
1
[2] Biot M.A., 1956, Theory of propagation of elastic waves in a fluid saturated porous solid II: High frequency range, The Journal of the Acoustical Society of America 28(2): 179-191.
2
[3] Biot M.A., 1956, Propagation of elastic waves in a liquid filled porous solid, Journal of Applied Physics 27: 459-467.
3
[4] Bhattacharya S.N., 1970, Exact solution of SH-wave equation for inhomogeneous media, Bulletin of the Seismological Society of America 60(6): 1847-1859.
4
[5] Chattopadhyay A., De R.K., 1983, Love type waves in a porous layer with irregular interface, International Journal of Engineering Science 21: 1295-1303.
5
[6] Chattopadhyay A., Chakraborty M., Mahata N.P., 1986, SH waves in a porous layer of non uniform thickness, Trans Engineers 34: 3-13.
6
[7] Dey S., 1987, Longitudinal and shear waves in an elastic medium with void pores, Proceedings of the Indian National Science Academy, India.
7
[8] Gubbins D., 1990, Seismology and Plate Tectonics, Cambridge University, Press Cambridge, New York.
8
[9] Pradhan A., Samal S.K., Mahanti N.C., 2002, Shear waves in a fluid saturated elastic plate, Sadhana 27(6): 595-604.
9
[10] Kumar R., Hundal B.S., 2003, Wave propagation in a fluid saturated incompressible porous medium, Indian Journal of Pure and Applied Mathematics 4: 651-665.
10
[11] Edelman I., 2004, Surface wave in porous medium interface: low frequency range, Wave Motion 39: 111-127.
11
[12] Chattopadhyay A., Kumari P., 2007, Propagation of shear waves in an anisotropic medium, International Journal of Applied Mathematics and Science 55(1): 2699-2706.
12
[13] Roy A., 2009, SH wave propagation in laterally heterogeneous medium, Springer Proceedings in Physics 126: 335-338.
13
[14] Gaur V.K., Rani S., 2010, Surface wave propagation in non-dissipative porous medium, International Journal of Educational Administration 2: 443-454.
14
[15] Chattopadhyay A, Gupta S, Sharma V.K., Kumari P, 2010, Effect of point source and heterogeneity on the propagation of SH-waves, International Journal of Applied Mathematics and Mechanics 6: 76-89.
15
[16] Samal S.K., Chattaraj R., 2011, Surface wave propagation in fiber-reinforced anisotropic elastic layer between liquid saturated porous half space, Acta Geophysica 59(3): 470-482.
16
[17] Kakar R, Kakar S, 2012, Propagation of love waves in non-homogeneous elastic media, Journal of Academia and Industrial Research 1: 61-67.
17
[18] Sahu S.A., Saroj P.K., Dewangan N., 2014, SH-waves in viscoelastic heterogeneous layer over half-space with self-weight, Archive of Applied Mechanics 84: 235-245.
18
[19] Kakar R, 2015, SH-wave velocity in a fiber-reinforced anisotropic layer overlying a gravitational heterogeneous half-space, Multidiscipline Modeling in Materials and Structures 11(3): 386-400.
19
[20] Ewing W.M., Jardetzky W.S., Press F., 1957, Elastic Waves in Layered Media, McGraw-Hill, New York.
20
[21] Chattopadhyay A., Samal S.K., Banerjee D., 2002, Propagation of shear waves in fluid saturated porous layer with initial stress, Acta Ciencia Indicia 28(3): 423-430.
21
[22] Kundu S., Gupta S., Majhi D.K., 2013, Love wave propagation in porous rigid layer lying over an initially stressed half-space, International Journal of Applied Physics and Mathematics 3(2): 140-142.
22
[23] Kundu S., Manna S., Gupta S., 2014, Love wave dispersion in pre-stressed homogeneous medium over a porous half-space with irregular boundary surfaces, International Journal of Solid and Structures 51: 3689-3697.
23
ORIGINAL_ARTICLE
An Efficient Strain Based Cylindrical Shell Finite Element
The need for compatibility between degrees of freedom of various elements is a major problem encountered in practice during the modeling of complex structures; the problem is generally solved by an additional rotational degree of freedom [1-3]. This present paper investigates possible improvements to the performances of strain based cylindrical shell finite element [4] by introducing an additional rotational degree of freedom. The resulting element has 24 degrees of freedom, six essential external degrees of freedom at each of the four nodes and thus, avoiding the difficulties associatedwithinternal degrees of freedom (the three translations and three rotations) and the displacement functions of the developed element satisfy the exact representation of the rigid body motion and constant strains (in so far as this allowed by compatibility equations). Numerical experiments analysis have been conducted to assess accuracy and reliability of the present element, this resulting element with the added degree of freedom is found to be numerically more efficient in practical problems than the corresponding Ashwell element [4].
http://jsm.iau-arak.ac.ir/article_533192_8ba272e8b3566205e647ed2654ad8d9b.pdf
2017-09-01T11:23:20
2020-05-31T11:23:20
632
649
Strain approach
Cylindrical finite element
Displacement functions
Rigid body modes
M
Bourezane
bourmess@yahoo.fr
true
1
Civil Engineering Department, University of Biskra, BP 145 RP, 07000 Biskra, Algeria
Civil Engineering Department, University of Biskra, BP 145 RP, 07000 Biskra, Algeria
Civil Engineering Department, University of Biskra, BP 145 RP, 07000 Biskra, Algeria
LEAD_AUTHOR
[1] Belarbi M.T. , Bourezane M., 2005, On improved sabir triangular element with drilling rotation, Revue Européenne de Genie Civil 9: 1151-1175.
1
[2] Belarbi M.T., 2000, Developpement de Nouvel Element Fini Base Sur le Modele en Deformation, Application Lineaire et Non Lineaire, Phd Thesis, University of Constantine, Algeria.
2
[3] Bourezane M., 2006, Utililisation of the Strain Model in the Analysis of the Structures, Phd Thesis, University of Biskra, Algeria.
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[4] Ashwell D.G., Sabir A.B., 1972, A new cylindrical shell finite element based on simple independent strain functions, International Journal of Mechanical Sciences 14: 171-183.
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[5] Lindberg G.M., Olson M.D., Cowper G.R., 1969, New Development in the Finite Element Analysis of Shells, Structures and Materials Laboratory National Aeronautical Establishment, National Research Council of Canada.
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[6] Yang T.Y., 1973, High order rectangular shallow shell finite element, Journal of Engineering Mechanics 99: 157-181.
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[7] Dawe D.J., 1975, High order triangular finite element for shell analysis, International Journal of Solids Structures 11: 1097-1110.
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[8] Hrennlkoff A., Tezcan S.S, 1968, Analysis of cylindrical shells by the finite element method, Sympoium on Problems of Interdependence of Design and Construction of Large Span Shells, Lenigrad.
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[9] Zienkiewicz O.C., Cheng Y.K., 1967, The Finite Element in Structural and Continuum Mechanics, Mc Graw Hill, Book Co, London.
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[10] Clough R.W., Johnson R.G., 1968, A finite element approximation for the analysis of thin shells, International Journal for Solids and Structures 4: 43-60.
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[11] Carr A.J., 1967, A Refined Finite Element Analysis of Thin Shell Structures Including Dynamic Loadings, Phd Thesis, University of California, Berekely.
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[12] Bogner F.K., Fox R.L., Schmit L.A., 1967, A cylindrical shell discrete element, AIAA Journal 5: 745-750.
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[13] Cantin G., Clouth R.W., 1968, A curved cylindrical shell Finite Element, AIAA Journal 6: 1057-1062.
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[14] Olson M.D., Lindberg G.M., 1968, Vibration analysis of cantilevered curved plates usisng a new cylindrical shell finite element, Proceedings of the Second Conference on Matrix Methods in Structural Mechanics ,Wright- Patterson AFB, Ohio.
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[15] Ashwell D.G., Sabir A.B., 1971, Limitations of certain curved finite elements when applied to arches, International Journal of Mechanical Sciences 13: 133-139.
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[16] Ashwell D.G., Sabir A.B., Roberts T.M., 1971, Further studies in the application of curved elements to circular arches, International Journal of Mechanical Sciences 13(6): 507-517.
16
[17] Sabir A.B., Lock A.C., 1972, A curved cylindrical shell finite element, International Journal of Mechanical Sciences 14(2): 125-135.
17
[18] Sabir A.B., Sfendji A., 1995, Triangular and rectangular plane elasticity finite elements, Thin Walled Structures 21(3): 225-232.
18
[19] Sabir A.B., Moussa A.I. , 1997, Analysis of fluted conical shell roofs using the finite element method, Computer and Structures 64 (1-4): 239-251.
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[20] Sabir A.B., Salhi H.Y., 1986, A strain based finite element for general plane elasticity problems in polar coordinates, Research Mechanica 19: 1-6.
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[21] Sabir A.B., 1983, Strain based finite elements for the analysis of cylinders with holes and normally intersecting cylinders, Nuclear Engineering and Design North-Holland 76: 111-120.
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[22] Sabir A.B., Ashwell D.G., 1969, A stiffness matrix for shallow shell finite elements, International Journal of Mechanical Science 11: 269-279.
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[23] Sabir A.B., Ramadani F., 1985, A shallow shell finite element for general shell analysis, Proceedings of the 2nd International Conference on Variational Methods in Engineering.
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[24] Sabir A.B., 1983, A new class of finite elements for plane elasticity problems, CAFEM 7th, International Conference on Structural Mechanics in Reactor Technology,Chicago.
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[25] Trinh V.D., Abed-Meriam F., Comberscure A., 2011, Assumed strain solid- shell formulation “SHB6’’ for the six node prismatic, Journal of Mechanical Science and Technology 25(9): 2345-2364.
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[26] Mousa A.I., EINaggar M.H., 2007, Shallow spherical shell rectangular finite element for analysis of cross shaped shell roof, Electronic Journal of Structural Engineering 7: 41-51.
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[27] Rebiai C., Belounar L., 2013, A new strain based rectangular finite element with drilling rotation for linear and nonlinear analysis, Archives of Civil and Mechanical Engineering 13: 72-81.
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[28] Djoudi M.S., Bahi H., 2003, A shallow shell finite element for the linear and nonlinear analysis of cylindrical shells, Engineering Structures 25(6):769-778.
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[29] Sabir A.B., Djoudi M.S., 1995, Shallow shell finite element for the large deflection geometrically nonlinear analysis of shells and plates, Thin Wall Structures 21: 253-267.
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[30] Timoshenko S., Woinoisky-Kreiger S., 1959, Theory of Plates and Shells, Mc Graw-Hill, New York.
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[35] MacNeal R. H., Harder R. L., 1985, A proposed standard set of problems to test finite element accuracy, Finite Elements in Analysis and Design 1: 3-20.
35
ORIGINAL_ARTICLE
Elastic Analysis of Functionally Graded Variable Thickness Rotating Disk by Element Based Material Grading
The present study deals with the elastic analysis of concave thickness rotating disks made of functionally graded materials (FGMs).The analysis is carried out using element based gradation of material properties in radial direction over the discretized domain. The resulting deformation and stresses are evaluated for free-free boundary condition and the effect of grading index on the deformation and stresses is investigated and presented. The results obtained show that there is a significant reduction of stresses in FGM disks as compared to homogeneous disks and the disks modeled by power law FGM have better strength.
http://jsm.iau-arak.ac.ir/article_533193_b892da5f865196adc445b53af0de8db0.pdf
2017-09-01T11:23:20
2020-05-31T11:23:20
650
662
Functionally graded material
Elastic analysis
Annular rotating disk
Concave thickness profile rotating disk
Element based material gradation
A.K
Thawait
amkthawait@gmail.com
true
1
Department of Mechanical Engineering, Shri Shankaracharya Technical Campus, SSGI,Bhilai, (C.G.), India
Department of Mechanical Engineering, Shri Shankaracharya Technical Campus, SSGI,Bhilai, (C.G.), India
Department of Mechanical Engineering, Shri Shankaracharya Technical Campus, SSGI,Bhilai, (C.G.), India
LEAD_AUTHOR
L
Sondhi
true
2
Department of Mechanical Engineering, Shri Shankaracharya Technical Campus, SSGI,Bhilai, (C.G.), India
Department of Mechanical Engineering, Shri Shankaracharya Technical Campus, SSGI,Bhilai, (C.G.), India
Department of Mechanical Engineering, Shri Shankaracharya Technical Campus, SSGI,Bhilai, (C.G.), India
AUTHOR
Sh
Sanyal
true
3
Department of Mechanical Engineering, NIT Raipur, 492010, India
Department of Mechanical Engineering, NIT Raipur, 492010, India
Department of Mechanical Engineering, NIT Raipur, 492010, India
AUTHOR
Sh
Bhowmick
true
4
Department of Mechanical Engineering, NIT Raipur, 492010, India
Department of Mechanical Engineering, NIT Raipur, 492010, India
Department of Mechanical Engineering, NIT Raipur, 492010, India
AUTHOR
[1] Eraslan A.N., 2003, Elastic–plastic deformations of rotating variable thickness annular disks with free, pressurized and radially constrained boundary conditions, International Journal of Mechanical Sciences 45: 643-667.
1
[2] Bayat M., Saleem M., Sahari B.B., Hamouda A.M.S., Mahdi E., 2009, Mechanical and thermal stresses in a functionally graded rotating disk with variable thickness due to radially symmetry loads, International Journal of Pressure Vessels and Piping 86: 357-372.
2
[3] Afsar A.M., Go J., 2010, Finite element analysis of thermoelastic field in a rotating FGM circular disk, Applied Mathematical Modelling 34: 3309-3320.
3
[4] Callioglu H., 2011, Stress analysis in a functionally graded disc under mechanical loads and a steady state temperature distribution, Sadhana 36: 53-64.
4
[5] Bayat M., Sahari B.B., Saleem M., Dezvareh E., Mohazzab A.H., 2011, Analysis of functionally graded rotating disks with parabolic concave thickness applying an exponential function and the Mori-Tanaka scheme, IOP Conference Series: Materials Science and Engineering 17:1-11.
5
[6] Callioglu H., Sayer M., Demir E., 2011, Stress analysis of functionally graded discs under mechanical and thermal loads, Indian Journal of Engineering & Material Sciences 18: 111-118.
6
[7] Callioglu H., Bektas N.B., Sayer M., 2011, Stress analysis of functionally graded rotating discs: analytical and numerical solutions, Acta Mechanica Sinica 27: 950-955.
7
[8] Sharma J.N., Sharma D., Kumar S., 2012, Stress and strain analysis of rotating FGM thermoelastic circular disk by using FEM, International Journal of Pure and Applied Mathematics 74: 339-352.
8
[9] Ali A., Bayat M., Sahari B.B., Saleem M., Zaroog O.S., 2012, The effect of ceramic in combinations of two sigmoid functionally graded rotating disks with variable thickness, Scientific Research and Essays 7: 2174-2188.
9
[10] Nejad A., Abedi M., Hassan M., Ghannad M., 2013, Elastic analysis of exponential FGM disks subjected to internal and external pressure, Central European Journal of Engineering 3: 459-465.
10
[11] Ghorbanpour Arani A. , Loghman A. , Shajari A. R. , Amir S. , 2010, Semi-analytical solution of magneto-thermo-elastic stresses for functionally graded variable thickness rotating disks, Journal of Mechanical Science and Technology 24: 2107-2118.
11
[12] Ghorbanpour Arani A. , Khoddami Maraghi Z. , Mozdianfard M. R. , Shajari A. R. ,2010, Thermo-piezo-magneto-mechanical stresses analysis of FGPM hollow rotating thin disk, International Journal of Mechanics and Materials in Design 6: 341-349.
12
[13] Zafarmand H., Hassani B., 2014, Analysis of two-dimensional functionally graded rotating thick disks with variable thickness, Acta Mechanica 225: 453-464.
13
[14] Rosyid A., Saheb M.E., Yahia F.B., 2014, Stress analysis of nonhomogeneous rotating disc with arbitrarily variable thickness using finite element method, Research Journal of Applied Sciences, Engineering and Technology 7: 3114-3125.
14
[15] Zafarmand H., Kadkhodayan M., 2015, Nonlinear analysis of functionally graded nanocomposite rotating thick disks with variable thickness reinforced with carbon nanotubes, Aerospace Science and Technology 41: 47-54, 2015.
15
[16] Seshu P., 2003, A Text Book of Finite Element Analysis, PHI Learning Pvt.
16
ORIGINAL_ARTICLE
Time-Dependent Hygro-Thermal Creep Analysis of Pressurized FGM Rotating Thick Cylindrical Shells Subjected to Uniform Magnetic Field
Time-dependent creep analysis is presented for the calculation of stresses and displacements of axisymmetric thick-walled cylindrical pressure vessels made of functionally graded material (FGM). For the purpose of time-dependent stress analysis in an FGM pressure vessel, material creep behavior and the solutions of the stresses at a time equal to zero (i.e. the initial stress state) are needed. This corresponds to the solution of the problem considering linear elastic behavior of the material. Therefore, using equations of equilibrium, stress–strain and strain–displacement, a differential equation for displacement is obtained and subsequently the initial elastic stresses at a time equal to zero are calculated. Assuming that the Magneto-hygro-thermoelastic creep response of the material is governed by Norton’s law, using the rate form of constitutive differential equation, the displacement rate is obtained and then the stress rates are calculated. Once the stress rates are known, the stresses at any time are calculated iteratively. The analytical solution is obtained for the plane strain condition. The pressure, inner radius and outer radius are considered to be constant and the magnetic field is uniform. Material properties are considered as power law function of the radius of the cylinder and the poisson’s ratio as constant. Following this, profiles are plotted for different values of material exponent for the radial, circumferential and effective stresses as a function of radial direction and time. The in-homogeneity exponent have significant influence on the distributions of the creep stresses.
http://jsm.iau-arak.ac.ir/article_533194_406239fd925fb8c07dde18088027e44a.pdf
2017-09-01T11:23:20
2020-05-31T11:23:20
663
679
Thick cylindrical pressure vessel
Magneto-hygro-thermoelastic-creep
Time-dependent
Functionally graded material (FGM)
A
Bakhshizadeh
true
1
Mechanical Engineering Department, Yasouj University, Yasouj, Iran
Mechanical Engineering Department, Yasouj University, Yasouj, Iran
Mechanical Engineering Department, Yasouj University, Yasouj, Iran
AUTHOR
M
Zamani Nejad
m_zamani@yu.ac.ir
true
2
Mechanical Engineering Department, Yasouj University,Yasouj,Iran
Mechanical Engineering Department, Yasouj University,Yasouj,Iran
Mechanical Engineering Department, Yasouj University,Yasouj,Iran
LEAD_AUTHOR
M
Davoudi Kashkoli
true
3
Department of Mechanical Engineering, Shahid Chamran University of Ahvaz, Ahvaz, Iran
Department of Mechanical Engineering, Shahid Chamran University of Ahvaz, Ahvaz, Iran
Department of Mechanical Engineering, Shahid Chamran University of Ahvaz, Ahvaz, Iran
AUTHOR
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1
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2
[3] Nejad, M. Z. Fatehi, P. 2015, Exact elasto-plastic analysis of rotating thick-walled cylindrical pressure vessels made of functionally graded materials, International Journal of Engineering Science 86, 26–43.
3
[4] Nejad, M. Z., Jabbari, M. Ghannad, M. 2015a, Elastic analysis of FGM rotating thick truncated conical shells with axially-varying properties under non-uniform pressure loading, Composite Structures 122, 561–569.
4
[5] Nejad, M. Z., Jabbari, M. Ghannad, M. 2015b, Elastic analysis of rotating thick cylindrical pressure vessels under non-uniform pressure: Linear and non-linear thickness, Periodica Polytechnica- Mechanical Engineering 59, 65–73.
5
[6] Nejad, M. Z., Jabbari, M. Ghannad, M. 2017, A general disk form formulation for thermo-elastic analysis of functionally graded thick shells of revolution with arbitrary curvature and variable thickness, Acta Mechanica 228, 215–231.
6
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7
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8
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9
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10
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38
[39] Nejad M. Z., Kashkoli M. D., 2014, Time-dependent thermo-creep analysis of rotating FGM thick-walled cylindrical pressure vessels under heat flux, International Journal of Engineering Science 82: 222-237.
39
[40] Loghman A., Ghorbanpour Arani A., Amir A. S., Vajedi A., 2010, Magnetothermoelastic creep analysis of functionally graded cylinders, International Journal of Pressure Vessels and Piping 87: 389-395.
40
[41] Singh T., Gupta V. K., 2011, Effect of anisotropy on steady state creep in functionally graded cylinder, Composite Structures 93: 747-758.
41
[42] Kashkoli M. D., Nejad M. Z., 2015, Time-dependent thermo-elastic creep analysis of thick-walled spherical pressure vessels made of functionally graded materials, Journal of Theoretical and Applied Mechanics 53:1053-1065.
42
[43] Dai H. L., Zheng H. Y., 2012, Creep buckling and post-buckling analyses of a viscoelastic FGM cylindrical shell with initial deflection subjected to a uniform in-plane load, Journal of Mechanics 28: 391-399.
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47
[48] Kashkoli M. D., Tahan K. N., Nejad M. Z., 2017, Time-dependent thermomechanical creep behavior of FGM thick hollow cylindrical shells under non-uniform internal pressure, International Journal of Applied Mechanics 9: 750086.
48
[49] Kashkoli M. D., Tahan K. N., Nejad M. Z., 2017, Time-dependent creep analysis for life assessment of cylindrical vessels using first order shear deformation theory, Journal of Mechanics 33: 461-474.
49
[50] Sharma S., Yadav S., Sharma R., 2017, Thermal creep analysis of functionally graded thick-walled cylinder subjected to torsion and internal and external pressure, Journal of Solid Mechanics 9: 302-318.
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[51] Loghman A., Shayestemoghadam H., Loghman S., 2016, Creep evolution analysis of composite cylinder made of polypropylene reinforced by functionally graded MWCNTs, Journal of Solid Mechanics 8: 372-383.
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53
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54