ORIGINAL_ARTICLE
Analysis of Wave Motion in a Micropolar Transversely Isotropic Medium
The present investigation deals with the propagation of waves in a micropolar transversely isotropic layer. Secular equations for symmetric and skew-symmetric modes of wave propagation in completely separate terms are derived. The amplitudes of displacements and microrotation were also obtained. Finally, the numerical solution was carried out for aluminium epoxy material and the dispersion curves. Amplitudes of displacements and microrotation for symmetric and skew-symmetric wave modes are presented to evince the effect of anisotropy. Some particular cases are also deduced.
http://jsm.iau-arak.ac.ir/article_514307_fcde556b79ccd3253b32ad78c2d4a8ad.pdf
2009-12-30T11:23:20
2019-10-18T11:23:20
260
270
Micropolar
Transversely isotropic
Amplitude ratios
R.R
Gupta
rajani_gupta_83@yahoo.com
true
1
Department of Mathematics, Kurukshetra University, Kurukshetra
Department of Mathematics, Kurukshetra University, Kurukshetra
Department of Mathematics, Kurukshetra University, Kurukshetra
LEAD_AUTHOR
R
Kumar
rajneesh_kuk@rediffmail.com
true
2
Department of Mathematics, Kurukshetra University, Kurukshetra
Department of Mathematics, Kurukshetra University, Kurukshetra
Department of Mathematics, Kurukshetra University, Kurukshetra
AUTHOR
[1] Suhubi E.S., Eringen A.C., 1964, Non-linear theory of simple microelastic solids II, International Journal of Engineering Science 2: 389-404.
1
[2] Eringen A.C., 1999, Microcontinuum Field Theories I: Foundations and Solids, Springer-Verlag, New York.
2
[3] Mindlin R.D., 1964, Microstructure in linear elasticity, Archive for Rational Mechanics and Analysis, 16: 51-78.
3
[4] Eringen A.C., 1966, Linear theory of micropolar elasticity, Journal of Mathematical Mechanics 15(6): 909-923.
4
[5] Abubakar, I., 1962, Free vibrations of a transversely isotropic plate, Quarterly Journal of Mechanics and Applied XV, Pt. I: 129-136.
5
[6] Keck E., Armenkas A.E., 1971, Wave propagation in transversely isotropic layered cylinders, ASCE Journal of Engineering Mechanics 2: 541-555.
6
[7] Suvalov A.L., Poncelet O., Deschamps M., Baron C., 2005, Long-wavelength dispersion of acoustic waves in transversely inhomogeneous anisotropic plates, Wave Motion 42: 367-382.
7
[8] Payton R.G., 1992, Wave propagation in a restricted transversely isotropic elastic solid whose slowness surface contains conical points, Quarterly Journal of Mechanics and Applied 45: 183-197.
8
[9] Slaughter W.S., 2002, The Linearized Theory of Elasticity, Birkhauser.
9
[10] Parfitt Eringen A.C., 1969, Reflection of Plane waves from the flat boundary of a micropolar elastic half-space, The Journal of Acoustical Society of America 45(5): 1258-1272.
10
[11] Kolsky H., 1963, Stress Waves in Solids, Clarendon Press, Oxford; Dover Press, New York.
11
[12] Brulin O., Hsieh R.K. T., 1981, Mechanics of Micropolar Media, World Scientific Publishing Corp. Pvt. Ltd., Singapore.
12
[13] Gauthier R.D., 1982, Experimental investigations on micropolar media, in: Mechanics of Micropolar Media, edited byO. Brulin, RKT Hsieh, World Scientific, Singapore.
13
ORIGINAL_ARTICLE
Temperature Effects on Nonlinear Vibration of FGM Plates Coupled with Piezoelectric Actuators
An analytical solution for a sandwich circular FGM plate coupled with piezoelectric layers under one-dimension heat conduction is presented in this paper. A nonlinear static problem is solved first to determine the initial stress state and pre-vibration deformations. By adding an incremental dynamic state to the pre-vibration state, the differential equations are derived. The role of thermal environment and control effects on nonlinear static deflections and natural frequencies imposed by the piezoelectric actuators using high input voltages are investigated. The good agreement between the results of this paper and those of the finite element (FE) analyses validated the presented approach. The emphasis is placed on investigating the effect of varying the applied actuator voltage and thermal environment as well as gradient index of FG plate on the dynamics and control characteristics of the structure.
http://jsm.iau-arak.ac.ir/article_514308_b583e58ead2ec85d1db43e980537f48f.pdf
2009-12-30T11:23:20
2019-10-18T11:23:20
271
288
FGM plate
Nonlinear vibration
Piezoelectric actuators
F
Ebrahimi
febrahimy@ut.ac.ir
true
1
Faculty of Mechanical Engineering, College of Engineering, University of Tehran
Faculty of Mechanical Engineering, College of Engineering, University of Tehran
Faculty of Mechanical Engineering, College of Engineering, University of Tehran
LEAD_AUTHOR
A
Rastgoo
true
2
Faculty of Mechanical Engineering, College of Engineering, University of Tehran
Faculty of Mechanical Engineering, College of Engineering, University of Tehran
Faculty of Mechanical Engineering, College of Engineering, University of Tehran
AUTHOR
[1] Dong S., Du X., Bouchilloux P., Uchino K., 2002, Piezoelectric ring-morph actuation for valve application, Journal of Electroceramics 8: 155-61.
1
[2] Cao L., Mantell S., Polla D., 2001, Design and simulation of an implantable medical drug delivery system using microelectromechanical systems technology, Sensors Actuators A 94: 117-125.
2
[3] Reddy J.N., Cheng Z.Q., 2001, Three-dimensional solutions of smart functionally graded plates, ASME Journal of Applied Mechanics 68: 234-241.
3
[4] Wang B.L., Noda N., 2001, Design of smart functionally graded thermo-piezoelectric composite structure, Smart Materials and Structures 10: 189-193.
4
[5] Huang X.L., Shen H.S., 2006, Vibration and dynamic response of functionally graded plates with piezoelectric actuators in thermal environments, Journal of Sound and Vibration 289: 25-53.
5
[6] Ebrahimi F., Rastgoo A., Kargarnovin M.H., 2008, Analytical investigation on axisymmetric free vibrations of moderately thick circular functionally graded plate integrated with piezoelectric layers, Journal of Mechanical Science and Technology 22(16): 1056-1072.
6
[7] Ebrahimi F., Rastgoo A., 2008, Free vibration analysis of smart annular FGM plates integrated with piezoelectric layers, Smart Materials and Structures 17(1): doi:10.1088/0964-1726/17/1/015044.
7
[8] Ebrahimi F., Rastgoo A., 2009, Nonlinear vibration of smart circular functionally graded plates coupled with piezoelectric layers, International Journal of Mechanics and Materials in Design 5: 157-165.
8
[9] Reddy J.N., Praveen G.N., 1998, Nonlinear transient thermoelastic analysis of functionally graded ceramic-metal plate, International Journal of Solids and Structures 35:4457-4476.
9
[10] Brush D.O., Almroth B.O., 1975, Buckling of Bars Plates and Shells, McGraw-Hill, New York.
10
[11] Reddy J.N., 1999, Theory and Analysis of Elastic Plates, Taylor and Francis, Philadelphia.
11
[12] Efraim E., Eisenberger M., 2007, Exact vibration analysis of variable thickness thick annular isotropic and FGM plate, Journal of Sound and Vibration 299: 720-738.
12
[13] Tzou H.S., 1993, Piezoelectric Shells-Distributed Sensing and Control of Continua, Kluwer, Dordrecht.
13
[14] Zheng X.J., Zhou Y.H., 1990, Analytical formulas of solutions of geometrically nonlinear equations of axisymmetric plates and shallow shells, Acta Mechanica Sinica 6(1): 69-81.
14
[15] William H.P., Brain P.F., Sau A.T., 1986, Numerical Recipes-the Art of Scientific Computing, Cambridge University Press, New York.
15
16
ORIGINAL_ARTICLE
Buckling Analysis of a Double-Walled Carbon Nanotube Embedded in an Elastic Medium Using the Energy Method
The axially compressed buckling of a double-walled carbon nanotabe surrounded by an elastic medium using the energy and the Rayleigh-Ritz methods is investigated in this paper. In this research, based on the elastic shell models at nano scale, the effects of the van der Waals forces between the inner and the outer tubes, the small scale and the surrounding elastic medium on the critical buckling load are considered. Normal stresses at the outer tube medium interface are also included in the current analysis. An expression is derived relating the external pressure to the buckling mode number, from which the critical pressure can be obtained. It is seen from the results that the critical pressure is dependent on the outer radius to thickness ratio, the material parameters of the surrounding elastic medium such as Young’s modulus and Poisson’s ratio. Moreover, it is shown that the critical pressure descend very quickly with increasing the half axial wave numbers.
http://jsm.iau-arak.ac.ir/article_514309_84dfcc74e229176cec94280ec5df2a92.pdf
2009-12-30T11:23:20
2019-10-18T11:23:20
289
299
Buckling
DWCNT
Elastic medium
Energy method
A
Ghorbanpour Arani
aghorban@kashanu.ac.ir
true
1
Department of Mechanical Engineering, University of Kashan
Department of Mechanical Engineering, University of Kashan
Department of Mechanical Engineering, University of Kashan
LEAD_AUTHOR
M
Shokravi
true
2
Department of Mechanical Engineering, University of Kashan
Department of Mechanical Engineering, University of Kashan
Department of Mechanical Engineering, University of Kashan
AUTHOR
M
Mohammadimehr
true
3
Department of Mechanical Engineering, University of Kashan
Department of Mechanical Engineering, University of Kashan
Department of Mechanical Engineering, University of Kashan
AUTHOR
[1] Yakobson B.I., Brabec C.J., Bernholc J., 1996, Nanomechanics of Carbon Tubes: Instabilities beyond Linear Response, Physical Review Letters 76: 2511-2514.
1
[2] He X.Q., Kitipornchai S., Liew K.M., 2005, Buckling analysis of multi-walled carbon nanotubes: A continuum model accounting for van der Waals interaction, Journal of the Mechanics and Physics of Solids 53: 303-326.
2
[3] Ru C.Q., 2000, Effect of van der Waals forces on axial buckling of a double-walled carbon nanotube, Journal of Applied physics 87: 1712-1715.
3
[4] Han Q., Lu G., 2003, Torsional buckling of a DWCNT embedded in an elastic medium, European Journal of Mechanics A/Solids 22: 875-883.
4
[5] Donnell L.H., 1976, Beams, Plates, Shells, McGraw-Hill, New York.
5
[6] Ru C.Q., 2001, Axially compressed buckling of a double-walled carbon nanotube embedded in an elastic medium, Journal of the Mechanics and Physics of Solids 49: 1265-1279.
6
[7] Ranjbartoreh A.R., Ghorbanpour A., Soltani B., 2007, Double-walled carbon nanotube with surrounding elastic medium under axial pressure, Physica E 39: 230-239.
7
[8] Ghorbanpour Arani A., Rahmani R., Arefmanesh A., Golabi S., 2008, Buckling analysis of multi-walled carbon nanotubes under combined loading considering the effect of small length scale, Journal of Mechanical Science and Technology 22: 429-439.
8
[9] Ghorbanpour Arani A., Mohammadimehr M., Arefmanesh A., Ghasemi A., 2010, Transverse vibration of short carbon nanotube using cylindrical shell and beam models, Proc. IMechE Part C: Journal of Mechanical Engineering Science 224: doi: 10.1243/09544062JMES1659.
9
[10] Brush D.O., Almroth B.O., 1975, Buckling of Bars, Plates and Shells, Mc Graw-Hill, Singapore.
10
[11] Saito R., Matsuo R., Kimura T., Dresselhaus G., Dresselhaus M.S., 2001, Anomalous potential barrier of double-wall carbon nanotube, Chemical Physics Letters 348: 187-193.
11
[12] Girifalco L.A., Lad R.A., 1956, Energy of cohesion, compressibility, and the potential energy functions of the graphite system, Journal of Chemical Physics 25: 693-697.
12
[13] Eringen A.C., 1983, On differential equations of nonlocal elasticity and solutions of screw dislocation and surface waves, Journal of Applied Physics 54: 4703-4710.
13
[14] Zhou X., Zhou J.J., Qu-Yang Z.C., 2000, Strain energy and Young’s modulus of single-wall carbon nanotubes calculated from electronic energy-band theory, Physical Review B 62: doi: 10.1103/PhysRevB.62.13692.
14
[15] Tu Z.C., Qu-Yang Z.C., 2002, Single-walled and multiwalled carbon nanotubes viewed as elastic tubes with the effective Young’s moduli dependent on larger number, Physical Review B 65: doi: 10.1103/PhysRevB.65.233407.
15
[16] Kudin K.N., Scuseria G.E., Yakobson B.I., 2001, C2F, BN and C nanoshell elasticity from abinitio computations, Physical Review B 64: doi: 10.1103/PhysRevB.64.235406.
16
[17] Fok S.L., 2002, Analysis of the buckling of long cylindrical shells imbedded in an elastic medium using the energy method, Journal of Strain Analysis for Engineering Design 37(5): 375-383.
17
[18] Zhang Y.Q., Liu G.R., Qiang H.F., Li G.Y., 2006, Investigation of buckling of buckling of double-walled carbon nanitubes embedded in an elastic medium using the energy method, International Journal of Mechanical Sciences 48: 53-61.
18
ORIGINAL_ARTICLE
Analysis on Centrifugal Load Effect in FG Hollow Sphere Subjected to Magnetic Field
This paper presents the effect of centrifugal load in functionally graded (FG) hollow sphere subjected to uniform magnetic field. Analytical solution for stresses and perturbation of the magnetic field vector are determined using the direct method and the power series method. The material stiffness, the magnetic permeability and the density vary continuously across the thickness direction according to the power law functions of radial directions. Magnetic field results in decreasing the radial displacement, the radial and shear stresses due to centrifugal load and has a negligible effect on circumferential displacement and also small effect compared with the other quantities on the circumferential stress due to centrifugal load. Increasing the angular velocity results in increasing the all above quantities due to magnetic field. With increasing the power law indices the radial displacement, the shear and circumferential stresses due to centrifugal load and magnetic field all are decreased and the radial stress due to centrifugal load and magnetic field increased.
http://jsm.iau-arak.ac.ir/article_514310_1c25fbdf328b78471d143ee7116e0021.pdf
2009-12-30T11:23:20
2019-10-18T11:23:20
300
312
Centrifugal load
FG
Hollow cylinder
Magnetic Field
S.M.R
Khalili
smrkhalili2005@gmail.com
true
1
Department of Mechanical Engineering, Faculty of Engineering, Islamic Azad University, South Tehran Branch-Faculty of Engineering, Kingston University
Department of Mechanical Engineering, Faculty of Engineering, Islamic Azad University, South Tehran Branch-Faculty of Engineering, Kingston University
Department of Mechanical Engineering, Faculty of Engineering, Islamic Azad University, South Tehran Branch-Faculty of Engineering, Kingston University
LEAD_AUTHOR
A.H
Mohazzab
true
2
Department of Mechanical Engineering, Faculty of Engineering, Islamic Azad University, South Tehran Branch
Department of Mechanical Engineering, Faculty of Engineering, Islamic Azad University, South Tehran Branch
Department of Mechanical Engineering, Faculty of Engineering, Islamic Azad University, South Tehran Branch
AUTHOR
M
Jabbari
true
3
Department of Mechanical Engineering, Faculty of Engineering, Islamic Azad University, South Tehran Branch
Department of Mechanical Engineering, Faculty of Engineering, Islamic Azad University, South Tehran Branch
Department of Mechanical Engineering, Faculty of Engineering, Islamic Azad University, South Tehran Branch
AUTHOR
[1] Lutz M.P., Zimmerman R.W., 1996, Thermal stresses and effective thermal expansion coefficient of a functionally gradient sphere, Journal of Thermal Stresses 19: 39-54.
1
[2] Tanigawa Y., Morishita H., Ogaki S., 1999, Derivation of systems of fundamental equations for a three-dimensional thermoelastic field with nonhomogonous material properties and its application to a semi infinite body, Journal of Thermal Stresses 22: 689-711.
2
[3] Eslami M.R., Babai M.H., Poultangari R., 2005, Thermal and mechanical stresses in a functionally graded thick sphere, International Journal of Pressure Vessel and Piping 82: 522-527.
3
[4] Poultangari R., Jabbari M., Eslami M.R., 2008, Functionally graded hollow spheres under non-axisymmetric thermo-mechanical loads, International Journal of Pressure Vessel and Piping 85: 295-305.
4
[5] Lee Z.Y., 2009, Magnetothermoelastic analysis of multilayered conical shells subjected to magnetic and vapor fields, Journal of Thermal Sciences 48(1): 50-72.
5
[6] Dai H.L., Fu Y.M., 2007, Magnetothermoelastic interactions in hollow structures of functionally graded material subjected to mechanical loads, International Journal of Pressure Vessel and Piping 84(3): 132-138.
6
[7] Wang X., Dong K., 2006, Magnetothermodynamic stress and perturbation of magnetic field vector in a non-homogeneous thermoelastic cylinder, European Journal of Mechanics A/Solids 25(1): 98-109.
7
[8] Dai H.L., Wang X., 2006, The dynamic response and perturbation of magnetic field vector of orthotropic cylinders under various shock loads, International Journal of Pressure Vessel and Piping 83(1): 55-62.
8
[9] Misra S.C., Samanta S.C., Chakrabarti A.K., 1992, Transient magnetothermoelastic waves in a viscoelastic half-space produced by ramp-type heating of its surface, Computers and Structures 43(5): 951-957.
9
[10] Massalas, C.V., 1991, A note on magnetothermoelastic interactions, Journal of Engineering Science 29(10): 1217-1229.
10
[11] Misra J.C., Samanta S.C., Chakrabarti A.K., Misra S.C., 1991, Magnetothermoelastic interaction in an infinite elastic continuum with a cylindrical hole subjected to ramp-type heating, Journal of Engineering Science 29(12): 1505-1514.
11
[12] Paul H.S., Narasimhan R., 1987, Magnetothermoelastic stress waves in a circular cylinder, Journal of Engineering Science 25(4): 413-425.
12
[13] Maruszewsk B., 1981, Dynamical magnetothermoelastic problem in cicular cylinders-I: Basic equations, Journal of Engineering Science 19(9): 1233-1240.
13
[14] Chen W.Q., Lee K.Y., 2003, Alternative state space formulations magnetoelectric thermoelasticity with transverse isotropy and the application to bending analysis of nonhomogeneous plates, International Journal of Solids and Structures 40: 5689-5705.
14
[15] Tianhu H., Yapeng S., Xiaogeng T., 2004, A two-dimensional generalized thermal shock problem for a half-space in electromagneto-thermoelasticit, Journal of Engineering Science 42: 809-823.
15
[16] Sharma J.N., Pal M., 2004, Rayleigh-Lamb waves in magnetothermoelastic homogeneous isotropic plate, Journal of Engineering Science 42: 137-155.
16
[17] Reddy J.N., Chin C.D., 1998, Thermo mechanical analysis of functionally graded cylinders and plates, Journal of Thermal Stresses 21(6): 593-626.
17
[18] Ootao Y., Tanigawa Y., 1999, Three-dimensional transient thermal stress of functionally graded rectangular plate due to partial heating, Journal of Thermal Stresses 22: 35-55.
18
[19] Ruhi M., Angoshtari A., Naghdabadi R., 2005, Thermo elastic analysis of thick-walled finite-length cylinders of functionally graded materials, Journal of Thermal Stresses 28: 391-408.
19
[20] Bayat M., Saleem M., Sahari B.B., Hamouda A.M.S., Mahdi M., 2008, On the stress analysis of functionally graded gear wheel with variable thickness, International Journal of Computer Methods Engineering Sciences Mechanics 9(2): 121-137.
20
[21] Jabbari M., Sohrabpour S., Eslami M.R., 2003, General solution for mechanical and thermal stresses in a functionally graded hollow cylinder due to nonaxisymmetric steady-state loads, Journal of Applied Mechanics 70: 111-118.
21
[22] Bahtui A., Eslami M.R., 2007, Coupled thermoelasticity of functionally graded cylindrical shell, Mechanics Research Communications, 34: 1-18.
22
23
ORIGINAL_ARTICLE
A Rapidly Convergent Nonlinear Transfinite Element Procedure for Transient Thermoelastic Analysis of Temperature-Dependent Functionally Graded Cylinders
In the present paper, the nonlinear transfinite element procedure recently published by the author is improved by introducing an enhanced convergence criterion to significantly reduce the computational run-times. It is known that transformation techniques have been developed mainly for linear systems, only. Due to using a huge number of time steps, employing the conventional time integration methods requires quite huge computational time and leads to remarkable error accumulation, numerical instability, or numerical damping, especially for long investigation times. The present method specially may be extended to problems where the required time steps are of the order of the round-off errors (e.g., coupled thermoelasticty problems). The present procedure is employed for transient thermoelastic analysis of thick-walled functionally graded cylinders with temperature-dependent material properties, as an example. To reduce the effect of the artificial local heat and stress shock source generation at the mutual boundaries of the elements, second order elements are used. Influences of various parameters on the temperature and stress distributions are investigated. Furthermore, results of the proposed transfinite element technique are compared with the results obtained by other references to verify the validity, accuracy, and efficiency of the proposed method.
http://jsm.iau-arak.ac.ir/article_514311_09d4d88d6a04042a3be92d069df903e6.pdf
2009-12-30T11:23:20
2019-10-18T11:23:20
313
327
Nonlinear transfinite element
Transient thermoelastic analysis
Enhanced convergence
Functionally graded cylinders
Temperature-dependency
M
Shariyat
m_shariyat@yahoo.com
true
1
Faculty of Mechanical Engineering, K.N.T. University of Technology
Faculty of Mechanical Engineering, K.N.T. University of Technology
Faculty of Mechanical Engineering, K.N.T. University of Technology
LEAD_AUTHOR
[1] Noda N., 1991, Thermal stresses in materials with temperature-dependent properties, ASME Applied Mechanics Review 44: 83-97.
1
[2] Tanigawa Y., 1995, Some basic thermoelastic problems for non-homogeneous structural materials, ASME Applied Mechanics Review 48: 287-300.
2
[3] Zimmerman R.W., Lutz M.P., 1999, Thermal stress and thermal expansion in a uniformly heated functionally graded cylinder, Journal of Thermal Stresses 22: 88-177.
3
[4] Obata Y., Noda N., 1994, Steady thermal stresses in a hollow circular cylinder and a hollow sphere of a functionally gradient material, Journal of Thermal Stresses 17: 471-487.
4
[5] El-abbasi N., Meguid S.A., 2000, Finite element modeling of the thermoelastic behavior of functionally graded plates and shells, International Journal of Computational Engineering Science 1: 51-165.
5
[6] Jabbari M., Sohrabpour, S. Eslami M.R., 2001, Mechanical and thermal stresses in a functionally graded hollow cylinder due to radially symmetric loads, International Journal of Pressure Vessels and Piping 79: 493-497.
6
[7] Liew K.M., Kitipornchai S., Zhang X.Z., Lim C.W., 2003, Analysis of the thermal stress behavior of functionally graded hollow circular cylinders, International Journal of Solids and Structures 40: 2355-2380.
7
[8] Jabbari M., Sohrabpour S., Eslami M.R., 2003, General solution for mechanical and thermal stresses in a functionally graded hollow cylinder due to nonaxisymmetric steady-state loads. ASME Journal of Applied Mechanics 70: 111-118.
8
[9] Ching H.K., Yen S.C., 2005, Meshless local Petrov-Galerkin analysis for 2D functionally graded elastic solids under mechanical and thermal loads, Composites Part B: Engineering 36: 223-240.
9
[10] Wang X., 1995, Thermal shock in a hollow cylinder caused by rapid arbitrary heating, Journal of Sound and Vibration 183(5): 899-906.
10
[11] Kandil A., EL-Kady A.A., EL-Kafrawy A., 1995, Transient thermal stress analysis of thick-walled cylinders, International Journal of Mechanical Sciences37: 721-732.
11
[12] Segall A.E., 2003, Transient analysis of thick-walled piping under polynomial thermal loading, Nuclear Engineering and Design 226: 183-191.
12
[13] Segall A.E., 2004, Thermoelastic stresses in an axisymmetric thick-walled tube under an arbitrary internal transient, ASME Journal of Pressure Vessel Technology 126: 327-332.
13
[14] Lee Z.Y., 2005, Hybrid numerical method applied to 3-D multilayered hollow cylinder with periodic loading conditions, Applied Mathematics and Computation 166: 95-117.
14
[15] Shahani A.R., Nabavi S.M., 2007, Analytical solution of the quasi-static thermoelasticity problem in a pressurized thick-walled cylinder subjected to transient thermal loading, Applied Mathematical Modelling 31:1807-1818.
15
[16] Ramadan K., 2009, Semi-analytical solutions for the dual phase lag heat conduction in multilayered media, International Journal of Thermal Sciences 48(1): 14-25.
16
[17] Reddy J.N., Chin C.D., 1998, Thermomechanical analysis of functionally graded cylinders and plates, Journal of Thermal Stresses 21: 593-626.
17
[18] Praveen G.N., Chin C.D., Reddy J.N., 1999, Thermoelastic analysis of a functionally graded ceramic-metal cylinder, ASCE Journal of Engineering Mechanics 125(11): 1259-1267.
18
[19] Obata Y., Kanayama K., Ohji T., Noda N., 1999, Two-dimensional unsteady thermal stresses in a partially heated circular cylinder made of functionally gradient materials, in: 3rd International Congress on Thermal Stresses, 595-598.
19
[20] Awaji H., Sivakumar R., 2001, Temperature and stress distribution in a hollow cylinder of functionally graded material: the case of temperature-independent material properties, Journal of the American Ceramic Society 84: 1059-1065.
20
[21] Kim K.S., Noda N., 2002, Green’s function approach to unsteady thermal stresses in an infinite hollow cylinder of functionally graded material, Acta Mechanica 156: 145-61.
21
[22] Sladek J., Sladek V., Zhang C., 2003, Transient heat conduction analysis in functionally graded materials by the meshless local boundary integral equation method, Computational Materials Science 28: 494-504.
22
[23] Wang B.L., Mai Y.W., Zhang X.H., 2004, Thermal shock resistance of functionally graded materials, Acta Materialia 52: 4961-4972.
23
[24] Wang B.L., Mai Y.W., 2005, Transient one-dimensional heat conduction problems solved by finite element, International Journal of Mechanical Sciences 47: 303-317.
24
[25] Hosseini S.M., Akhlaghi M., Shakeri M., 2007, Transient heat conduction in functionally graded thick hollow cylinders by analytical method, Heat and Mass Transfer 43: 669-675.
25
[26] Shao Z.S., Wang T.J., Ang K.K., 2007, Transient thermo-mechanical analysis of functionally graded hollow circular cylinders, Journal of Thermal Stresses 30(1): 81-104.
26
[27] Shao Z.S., Ma G.W., 2008, Thermo-mechanical stresses in functionally graded circular hollow cylinder with linearly increasing boundary temperature, Composite Structures 83(3): 259-265.
27
[28] Hosseini S.M., 2009, Coupled thermoelasticity and second sound in finite length functionally graded thick hollow cylinders (without energy dissipation), Materials & Design 30( 6): 2011-2023.
28
[29] Shariyat M., 2008, Dynamic thermal buckling of suddenly heated temperature-dependent FGM cylindrical shells, under combined axial compression and external pressure, International Journal of Solids and Structures 45: 2598-2612.
29
[30] He T., Tian X., Shen Y., 2002, Two-dimensional generalized thermal shock problem of a thick piezoelectric plate of infinite extent, International Journal of Engineering Science 40: 2249-2264.
30
[31] Tian X., Shen Y., Chen C., He T., 2006, A direct finite element method study of generalized thermoelastic problems, International Journal of Solids and Structures 43: 2050-2063.
31
[32] Bagri A., Eslami M.R., 2008, Generalized coupled thermoelasticity of functionally graded annular disk considering the Lord–Shulman theory, Composite Structures 83(2): 168-179.
32
[33] Shakeri M., Akhlaghi M., Hoseini S.M., 2006, Vibration and radial wave propagation velocity in functionally graded thick hollow cylinder, Composite Structures 76: 174-181.
33
[34] Shariyat M., Eslami M.R., 1996, Isoparametric finite-element thermoelasto-plastic creep analysis of shells of revolution, International Journal of Pressure Vessels and Piping 68(3): 249-259.
34
[35] Zienkiewicz O.C., Taylor R.L., 2005, The Finite Element Method: Its Basis and Fundamentals, Butterworth-Heinemann, 6th edition.
35
[36] Reddy J.N., 2005, An Introduction to the Finite Element Method, McGraw-Hill, 3rd edition.
36
[37] Heinrich J.C., Pepper D.W., 2005, The Finite Element Method: Basic Concepts and Applications, Taylor & Francis, 2nd edition.
37
[38] Shariyat M., 2009, A nonlinear Hermitian transfinite element method for transient behavior analysis of hollow functionally graded cylinders with temperature-dependent materials under thermo-mechanical loads, International Journal of Pressure Vessels and Piping 86: 280-289.
38
[39] Shariyat M., Lavasani S.M.H., Khaghani M., 2010, Nonlinear transient thermal stress and elastic wave propagation analyses of thick temperature-dependent FGM cylinders, using a second-order point-collocation method, Applied Mathematical Modelling, doi: 10.1016/j.apm.2009.07.007.
39
[40] Shariyat M., Khaghani M., Lavasani S.M.H., 2010, Nonlinear thermoelasticity, vibration, and stress wave propagation analyses of thick FGM cylinders with temperature-dependent material properties, European Journal of Mechanics-A/Solids, doi: doi:10.1016/j.euromechsol.2009.10.007.
40
[41] Azadi M., Shariyat M., 2009, Nonlinear transient transfinite element thermal analysis of thick-walled FGM cylinders with temperature-dependent material properties. Meccanica, doi: 10.1007/s11012-009-9249-4.
41
[42] Shen H.-S., 2009, Functionally Graded Materials: Nonlinear Analysis of Plates and Shell, CRC Press, Taylor & Francis Group, Boca Raton.
42
[43] Touloukian Y.S., 1976, Thermophysical Properties of High Temperature Solid Materials, McMillan, New York.
43
[44] Hetnarski R.B., Eslami M.R., 2009, Thermal Stresses - Advanced Theory and Applications, Springer.
44
[45] Reddy, J.N., 2005, An Introduction to the Finite Element Method, 3rd edition, McGraw-Hill.
45
[46] Honig G., Hirdes U., 1984, A method for the numerical inversion of Laplace transforms, Journal of Computational and Applied Mathematics 10: 113-132.
46
ORIGINAL_ARTICLE
Effects of Geometric Nonlinearity on Stress Analysis in Large Amplitude Vibration of Moderately Thick Annular Functionally Graded Plate
This paper deals with the nonlinear free vibration of thick annular functionally graded material plates. The thickness is assumed to be constant. Material properties are assumed to be graded in the thickness direction according to a simple power law distribution in terms of the volume fractions of the constituents. The formulations are based on the first-order shear deformation plate theory and von Kármán-type equation. For harmonic vibrations, by using assumed-time-mode method sinusoidal oscillations are assumed, then the time variable is eliminated by applying Kantorovich averaging method. Thus, the basic governing equations for the problem are reduced to a set of ordinary differential equations in term of radius. The results reveal that vibration amplitude and volume fraction have significant effects on the resultant stresses in large amplitude vibration of the functionally graded thick plate.
http://jsm.iau-arak.ac.ir/article_514312_46319e2cdbb668fca65ea58e83216ae6.pdf
2009-12-30T11:23:20
2019-10-18T11:23:20
328
342
Functionally graded material
Large amplitude vibration
Stress Analysis
Thick annular plate
M.H
Amini
mhamini@ut.ac.ir
true
1
Faculty of Mechanical Engineering, College of Engineering, University of Tehran
Faculty of Mechanical Engineering, College of Engineering, University of Tehran
Faculty of Mechanical Engineering, College of Engineering, University of Tehran
LEAD_AUTHOR
A
Rastgoo
true
2
Faculty of Mechanical Engineering, College of Engineering, University of Tehran
Faculty of Mechanical Engineering, College of Engineering, University of Tehran
Faculty of Mechanical Engineering, College of Engineering, University of Tehran
AUTHOR
M
Soleimani
true
3
Faculty of Mechanical Engineering, College of Engineering, University of Tehran
Faculty of Mechanical Engineering, College of Engineering, University of Tehran
Faculty of Mechanical Engineering, College of Engineering, University of Tehran
AUTHOR
[1] Bhimaraddi A., Chandrashekhara K., 1993, Nonlinear vibrations of heated antisymmetric angle-ply laminated plates, International Journal of Solids and Structures 30: 1255-1268.
1
[2] Liew K.M., Xiang Y., Kitipornchai S., 1994, Transverse vibration of thick rectangular plates-IV: influence of isotropic in-plane pressure, Computers and Structures 49: 69-78.
2
[3] Liu F.L., Liew K.M., 1999, Analysis of vibrating thick rectangular plates with mixed boundary constraints using differential quadrature element method, Journal of Sound and Vibration 225: 915-934.
3
[4] Shen H.S., Yang J., Zhang L., 2000, Dynamic response of Reissner-Mindlin plates under thermomechanical loading and resting on elastic foundations, Journal of Sound and Vibration 232: 309-329.
4
[5] Li S.R., Zhou Y.H., Song X., 2002, Non-linear vibration and thermal buckling of an orthotropic annular plate with a centric rigid mass, Journal of Sound and Vibration 251: 141-152.
5
[6] Ebrahimi F., Rastgoo A., 2008, Free vibration analysis of smart annular FGM plates integrated with piezoelectric layers, Smart Materials and Structures, doi:10.1088/0964-1726/17/1/015044.
6
[7] Xuefeng S., Xiaoqing Z., Jinxiang Z., 2000, Thermoelastic free vibration of clamped circular plate, Applied Mathematics and Mechanics 21: 715-724.
7
[8] Arafat H.N., Nayfeh A.H., Faris W., 2004: Natural frequencies of heated annular and circular plates, International Journal of Solids and Structures 41: 3031-3051.
8
[9] Amini M.H., Soleimani M., Rastgoo A., 2009, Three-dimensional free vibration analysis of functionally graded material plates resting on an elastic foundation, Smart Materials and Structures, doi:10.1088/0964-1726/18/8/085015.
9
[10] Ebrahimi F., Rastgoo A., Atai A.A., 2008, A theoretical analysis of smart moderately thick shear deformable annular functionally graded plate, European Journal of Mechanics A/Solids, doi: 10.1016/j.euromechsol.2008.12.008.
10
[11] Praveen G.N., Reddy J.N., 1998, Nonlinear transient thermoelastic analysis of functionally graded ceramic-metal plates, International Journal of Solids and Structures 35: 4457-4476.
11
[12] Reddy J.N., 2000, Analysis of functionally graded plates, International Journal of Numerical Methods in Engineering 47: 663-684.
12
[13] Woo J., Meguid S.A., 2001, Nonlinear analysis of functionally graded plates and shallow shells, International Journal of Solids and Structures 38: 7409-7421.
13
[14] Woo J., Meguid S.A., Ong L.S., 2006, Nonlinear free vibration behavior of functionally graded plates, Journal of Sound and Vibration 289: 595-611.
14
[15] Allahverdizadeh A., Naei M.H., Ratgo A., 2006, The effects of large vibration amplitudes on the stresses of thin circular functionally graded plates, International Journal of Mechanics and Materials in Design 3: 161-174.
15
[16] Kitipornchai S, Yang J., Liew K.M., 2004, Semi-analytical solution for nonlinear vibration of laminated FGM plates with geometric imperfections, International Journal of Solids and Structures 41: 2235-2257.
16
[17] Kitipornchai S., Yang J., Liew K.M., 2006, Random vibration of the functionally graded laminates in thermal environments, Computer Methods in Applied Mechanics and Engineering 195: 1075-1095.
17
[18] Shafiee H., Naei M.H., Eslami M.R., 2006, In-plane and out-of-plane buckling of arches made of FGM, International Journal of Mechanical Sciences 48: 907-915.
18
[19] Huang X.L., Shen H.S., 2004, Nonlinear vibration and dynamic response of functionally graded plates in thermal environments, International Journal of Solids and Structures 41: 2403-2427.
19
[20] Mindlin R.D., 1951, Influence of rotary inertia and shear on flexural motions of isotropic elastic plates, Journal of Applied Mechanics 18: 31-8.
20
[21] Reddy J.N., 1999, Theory and Analysis of Elastic Plates, Taylor and Francis, Philadelphia.
21
[22] Huang S., 1998, Non-linear vibration of a hinged orthotropic circular plate with a concentric rigid mass, Journal of Sound and Vibration 214: 873-883.
22
[23] Allahverdizadeh A., Naei M.H., Nikkhah Bahrami M., 2008, Nonlinear free and forced vibration analysis of thin circular functionally graded plates, Journal of Sound and Vibration 310: 966-984.
23
[24] Ma L.S., Wang T.J., 2003, Nonlinear bending and post-buckling of a functionally graded circular plate under mechanical and thermal loadings, International Journal of Solids and Structures 40: 3311-3330.
24
[25] Han J.B,, Liew K.M., 1999, Axisymmetric free vibration of thick annular plates, International Journal of Mechanical Sciences 41: 1089-1109.
25
[26] Haterbouch M.,, Benamar R., 2004, The effects of large vibration amplitudes on the axisymmetric mode shapes and natural frequencies of clamped thin isotropic circular plates, part II: iterative and explicit analytical solution for non-linear coupled transverse and in-plane vibrations, Journal of Sound and Vibration 277: 1-30.
26
27
ORIGINAL_ARTICLE
An Exact Solution for Classic Coupled Thermoporoelasticity in Cylindrical Coordinates
In this paper the classic coupled thermoporoelasticity model of hollow and solid cylinders under radial symmetric loading condition (r, t) is considered. A full analytical method is used and an exact unique solution of the classic coupled equations is presented. The thermal and pressure boundary conditions, the body force, the heat source, and the injected volume rate per unit volume of a distribute water source are considered in the most general forms, and no limiting assumption is used. This generality allows simulation of various applicable problems.
http://jsm.iau-arak.ac.ir/article_514313_89c2406d7f603d186ad27c22c1ea3305.pdf
2009-12-30T11:23:20
2019-10-18T11:23:20
343
357
Coupled Thermoporoelasticity
Hollow cylinder
Exact solution
M
Jabbari
mjabbari@oiecgroup.com
true
1
Postgraduate School, South Tehran Branch Islamic Azad University
Postgraduate School, South Tehran Branch Islamic Azad University
Postgraduate School, South Tehran Branch Islamic Azad University
LEAD_AUTHOR
H
Dehbani
true
2
Postgraduate School, South Tehran Branch Islamic Azad University
Postgraduate School, South Tehran Branch Islamic Azad University
Postgraduate School, South Tehran Branch Islamic Azad University
AUTHOR
[1] Bing Bai, 2006, Response of saturated porous media subjected to local thermal loading on the surface of semi-infinite space, Acta Mech Sinica 22: 54-61.
1
[2] Bing Bai, 2006, Fluctuation responses of saturated porous media subjected to cyclic thermal loading, Computers and Geotechnics 33: 396-403.
2
[3] Droujinine A., 2006, Generalized inelastic asymptotic ray theory, Wave Motion 43: 357-367.
3
[4] Bing Bai, Tao Li, 2009, Solution for cylinderical cavety in saturated thermoporoelastic medium, Acta Mech Sinica 22(1): 85-92.
4
[5] Hetnarski R.B., 1964, Solution of the coupled problem of thermoelasticity in the form of series of functions, Archiwum Mechaniki Stosowanej 16: 919-941.
5
[6] Hetnarski R.B., Ignaczak J., 1993, Generalized thermoelasticity: closed-form solutions, Journal of Thermal Stresses 16: 473-498.
6
[7] Hetnarski R.B., Ignaczak J., 1994, Generalized thermoelasticity: response of semi-space to a short laser pulse, Journal of Thermal Stresses 17: 377-396.
7
[8] Georgiadis H.G., Lykotrafitis G., 2005, Rayleigh waves generated by a thermal source: A threedimensional transiant thermoelasticity solution, ASME Journal of Applied Mechanics 72: 129-138.
8
[9] Wagner P., 1994, Fundamental matrix of the system of dynamic linear thermoelasticity, Journal of Thermal Stresses 17: 549-565.
9
10
ORIGINAL_ARTICLE
First-Order Formulation for Functionally Graded Stiffened Cylindrical Shells Under Axial Compression
The buckling analysis of stiffened cylindrical shells by rings and stringers made of functionally graded materials subjected to axial compression loading is presented. It is assumed that the material properties vary as a power form of the thickness coordinate variable. The fundamental relations, the equilibrium and stability equations are derived using the first order shear deformation theory. Resulting equations are employed to obtain the critical buckling loads. The effects of the material properties and geometry of shell on the critical buckling loads are examined. Excellent agreement with the results in the literature indicates the correctness of the proposed closed form solution.
http://jsm.iau-arak.ac.ir/article_514314_ae76398e26c658602c2725b0951bba53.pdf
2009-12-30T11:23:20
2019-10-18T11:23:20
358
364
Functionally graded material
Stiffened cylindrical shell
First-order theory
Axial compression
A
Hasani
abolfazl_hassani1357@yahoo.com
true
1
Department of Mechanical Engineering, Islamic Azad University, Arak Branch
Department of Mechanical Engineering, Islamic Azad University, Arak Branch
Department of Mechanical Engineering, Islamic Azad University, Arak Branch
LEAD_AUTHOR
[1] Ng T.Y., Lam Y.K., Liew K.M., Reddy J.N., 2001, Dynamic stability analysis of functionally graded cylindrical shells under periodic axial loading, International Journal of Solids and Structures 38: 1295-1300.
1
[2] Yaffe R., Abramovich H., 2003, Dynamic buckling of cylindrical stringer stiffened shells, Computers and Structures 81:1031-1039.
2
[3] Rikards R., Chate A., Ozolinsh O., 2001, Analysis of buckling and vibrations of composite stiffened shells and plates, Composite Structures 51: 361-370.
3
[4] Narimani R., Karami Khorramabadi M., Khazaeinejad P., 2007, Mechanical buckling of functionally graded cylindrical shells based on the first order shear deformation theory, in: ASME Pressure Vessels and Piping Division Conference, San Antonio, Texas, USA.
4
[5] Brush D.O., Almorth B.O., 1975, Buckling of Bars, Plates and Shells, McGraw-Hill, New York.
5
[6] Najafizadeh M.M., Hasani A., Khazaeinejad P., 2009, Mechanical stability of functionally graded stiffened cylindrical shells, Applied Mathematical Modelling 33: 1151-1157.
6
7