ORIGINAL_ARTICLE
Three-Dimensional Stress Analysis for Semi-Elliptical Cracks in the Connection of Cylinder-Hemispherical Head for Thick-Walled Cylindrical Pressure Vessels
These pressure vessels are made by different type of heads. One of them is hemi-spherical head. The area of geometrical discontinuity, like the connection of the cylinder to its hemi-spherical head, are the most susceptible areas for crack initiation along their welds. So it is worthwhile to consider cracks located at this connection. The purpose of this article is to investigate the effect of variation of stress field and geometry of problem on distribution of Stress Intensity Factor (SIF) for a semi-elliptical surface crack which is located at the connection of cylinder to its hemispherical head. The three dimensional finite element analysis is performed by employing singular elements along the crack front. The ratio of crack depth to crack length (a/c) ranged from 0.3 to 1.2; the ratio of crack depth to wall thickness (a/t) ranged from 0.2 to 0.8; and the cylinder geometry parameter of vessel ranged from 1.2 to 2. For better comparison the results are normalized and reported in non-dimensional formats. The results show that the crack configuration, vessel thickness and radius have significant influence on the stress intensity factor distribution along the crack front. Also For a fixed and the maximum value of SIF occur in the cylindrical part and approximately near the deepest point of crack; not on the deepest point of crack depth and this may be due to changing stress field in this connection. The stress intensity factors are presented in suitable curves for various geometrical configurations providing useful tool for the fracture mechanics design of cracked pressure vessels.
http://jsm.iau-arak.ac.ir/article_680917_70377054e10ac2eeeb71ffb51461a646.pdf
2021-03-30
1
10
10.22034/jsm.2020.555468.1194
Stress intensity factor
Cylinder-hemispherical head
Semi-Elliptical Crack
Cylindrical pressure vessel
H
Eskandari
eskandari@put.ac.ir
1
Abadan Institute of Technology, Petroleum University of Technology, Abadan, Iran
LEAD_AUTHOR
M
Ghanbari
2
Abadan Institute of Technology, Petroleum University of Technology, Abadan, Iran
AUTHOR
F
Mirzadeh
3
Abadan Institute of Technology, Petroleum University of Technology, Abadan, Iran
AUTHOR
[1] Raju I.S., Newman J.C., 1982, Stress-intensity factors for internal and external surface cracks in cylindrical vessels, Journal of Pressure Vessel Technology 104: 293-298.
1
[2] Nabavi S.M., Shahani A.R., 2008, Calculation of stress intensity factors for a longitudinal semielliptical crack in a finite-length thick-walled cylinder, Fatigue & Fracture of Engineering Materials & Structures 31: 85-94.
2
[3] Shiv Sahaya Shukla., Murthy K.S.R.K., 2019, Numerical analysis of a semi-elliptical surface cracked plate under tension, AIP Conference Proceedings.
3
[4] Slami H., El Had K.H., El Bhilat H., Hachim A., 2019, Numericall analysis of the effect of external circumferential elliptical cracks in transition thickness zone of pressurized pipes using XFEM , Journal of Applied and Computational Mechanics 5(5): 861-874.
4
[5] Perl M., Matan S., 2019, 3-D stress intensity factors due to full autofrettage for inner radial or coplanar crack arrays and ring cracks in a spherical pressure vessel, Journal of Procedia Structural Integrity 2: 3625-3646.
5
[6] Zareei A., Nabavi S.M., 2016, Calculation of stress intensity factors for circumferential semi-elliptical cracks with high aspect ratio in pipe, Journal of Pressure Vessels and Piping 146: 32-38.
6
[7] Lin X.B., Smith R.A., 1997, Stress intensity factors for semi-elliptical internal surface cracks in autofrettaged thick-walled cylinders, Journal of Strain Analysis for Engineering Design 32(5): 351-363.
7
[8] Guerrero M.A., Betegon C., Belzunce J., 2008, Fracture analysis of a pressure vessel made of high strength steel (HSS), Engineering Failure Analysis 15: 208-219.
8
[9] Chen J., Pan H., 2013, Stress intensity factor of semi-elliptical surface crack in a cylinder with hoop wrapped composite layer, Journal of Pressure Vessels and Piping 30: 1-5.
9
[10] Predan J., Mocilnik V., Gubeljak N., 2013, Stress intensity factors for circumferential semi-elliptical surface cracks in a hollow cylinder subjected to pure torsion, Engineering Fracture Mechanics 105: 152-168.
10
[11] Newman J.C., Raju I.S., 1980, Stress-intensity factors for internal surface cracks in cylindrical pressure-vessels, Journal of Pressure Vessel Technology 102: 342-346.
11
[12] Kirkhope K.J., Bell R. , Kirkhope J.,1991, Stress intensity factors for single and multiple semi-elliptic surface cracks in pressurized thick-walled cylinders, Journal of Pressure Vessels and Piping 47: 247-257.
12
[13] Zheng X.J., Glinka G., 1995, Weight functions and stress intensity factors for longitudinal semi-elliptical cracks in thick-wall cylinders, Journal of Pressure Vessel Technology 117: 383-389.
13
[14] Zheng X.J., Kiciak A., Glinka G., 1997, Weight functions and stress intensity factors for internal surface semi-elliptical crack in thick-walled cylinder, Engineering Fracture Mechanics 58: 207-221.
14
[15] Perl M., Bernshtein V., 2010, 3-D stress intensity factors for arrays of inner radial lunular or crescentic cracks in a typical spherical pressure vessels, Engineering Fracture Mechanics 77: 535-548.
15
[16] Valentin G., Arrat D., 1991, Stress intensity factors of semi-elliptical cracks in single- or double-layered spherical shells, Journal of Pressure Vessels and Piping 48(1): 9-20.
16
[17] Chao Y.J., Chen H., 1989, Stress intensity factors for complete internal and external cracks in spherical shells, Journal of Pressure Vessels and Piping 40(4): 315-326.
17
[18] Wang B., Hu N., 2000, Study of a spherical shell with a surface crack by the line-spring model, Engineering Structures 22(8): 1006-1012.
18
[19] Perl M., Bernshtein V., 2011, 3-D stress intensity factors for arrays of inner radial lunular or crescentic cracks in thin and thick spherical pressure vessels, Engineering Fracture Mechanics 78: 1466-1477.
19
[20] Perl M., Bernshtein V., 2012, Three-dimensional stress intensity factors for ring cracks and arrays of coplanar cracks emanating from the inner surface of a spherical pressure vessel, Engineering Fracture Mechanics 94: 71-84.
20
[21] Diamantoudis A.T., Labeas G.N., 2005, Stress intensity factors of semi-elliptical surface cracks in pressure vessels by global-local finite element methodology, Engineering Fracture Mechanics 72: 1299-1312.
21
[22] ANSYS 15.0, 2014, FE Program Package, ANSYS Inc.
22
[23] Usman T.M., Javed H.M., 2015,The effects of thermal stresses on the elliptical surface cracks in PWR reactor pressure vessel, Theoretical and Applied Fracture Mechanics 75: 124-136.
23
[24] Raju I.S., Newman J.C., 1979, Stress intensity factors for a wide range of semielliptical surface cracks in finite-thickness plates, Engineering Fracture Mechanics 11: 817-829.
24
[25] API/A579-1/ASME FFS-1: Fitness –For-Servic, 2007, American Society of Mechanical Engineers.
25
[26] Köşker S., 2007, Three-Dimensional Mixed Mode Fracture Analysis of Functionally Graded Materials, Master’s Thesis, Middle East Technical University.
26
ORIGINAL_ARTICLE
Size-Dependent Higher Order Thermo-Mechanical Vibration Analysis of Two Directional Functionally Graded Material Nanobeam
This paper represented a numerical technique for discovering the vibrational behavior of a two-directional FGM (2-FGM) nanobeam exposed to thermal load for the first time. Mechanical attributes of two-directional FGM (2-FGM) nanobeam are changed along the thickness and length directions of nanobeam. The nonlocal Eringen parameter is taken into the nonlocal elasticity theory (NET). Uniform temperature rise (UTR), linear temperature rise (LTR), non-linear temperature rise (NLTR) and sinusoidal temperature rise (STR) during the thickness and length directions of nanobeam is analyzed. Third-order shear deformation theory (TSDT) is used to derive the governing equations of motion and associated boundary conditions of the two-directional FGM (2-FGM) nanobeam via Hamilton’s principle. The differential quadrature method (DQM) is employed to achieve the natural frequency of two-directional FGM (2-FGM) nanobeam. A parametric study is led to assess the efficacy of coefficients of two-directional FGM (2-FGM), Nonlocal parameter, FG power index, temperature changes, thermal rises loading and temperature rises on the non-dimensional natural frequencies of two-directional FGM (2-FGM) nanobeam.
http://jsm.iau-arak.ac.ir/article_680610_cf74df10743835b339a9970bf7cf9f4e.pdf
2021-03-30
11
26
10.22034/jsm.2019.1866704.1427
Free vibration
Two directional FGM
Thermal load
Nonlocal theory
Nanobeam
M
Mahinzare
1
School of Engineering, Tehran University, Tehran, Iran
AUTHOR
S
Amanpanah
2
Faculty of Engineering, Department of Mechanics, Imam Khomeini International University, Qazvin, Iran
AUTHOR
M
Ghadiri
ghadiri@eng.ikiu.ac.ir
3
Faculty of Engineering, Department of Mechanics, Imam Khomeini International University, Qazvin, Iran
LEAD_AUTHOR
[1] Wang S.S., 1983, Fracture mechanics for delamination problems in composite materials, Journal of Composite Materials 17(3): 210-223.
1
[2] Mohammadi K., Mahinzare M., Ghorbani K., Ghadiri M., 2017, Cylindrical functionally graded shell model based on the first order shear deformation nonlocal strain gradient elasticity theory, Microsystem Technologies 24: 1133-1146.
2
[3] Shafiei N., Ghadiri M., Mahinzare M., 2019, Flapwise bending vibration analysis of rotary tapered functionally graded nanobeam in thermal environment, Mechanics of Advanced Materials and Structures 26: 139-155.
3
[4] Ghadiri M., Mahinzare M., Shafiei N., Ghorbani K., 2017, On size-dependent thermal buckling and free vibration of circular FG Microplates in thermal environments, Microsystem Technologies 23: 4989-5001.
4
[5] Tejaswini N., Ramesh Babu K., Sai Ram K.S., 2012, Functionally graded material: An overview, International Journal of Advanced Engineering Science and Technological 3: 5-7.
5
[6] Hosseini-Hashemi S., Nazemnezhad R., Bedroud M., 2014, Surface effects on nonlinear free vibration of functionally graded nanobeams using nonlocal elasticity, Applied Mathematical Modelling 38(14): 3538-3553.
6
[7] Anjomshoa A., 2013, Application of Ritz functions in buckling analysis of embedded orthotropic circular and elliptical micro/nano-plates based on nonlocal elasticity theory, Meccanica 48(6): 1337-1353.
7
[8] Shojaeefard M.H., Googarchin H.S., Ghadiri M., Mahinzare M., 2017, Micro temperature-dependent FG porous plate: Free vibration and thermal buckling analysis using modified couple stress theory with CPT and FSDT, Applied Mathematical Modelling 50: 633-655.
8
[9] Tornabene F., Fantuzzi N., Bacciocchi M., 2016, The local GDQ method for the natural frequencies of doubly-curved shells with variable thickness: A general formulation, Composites Part B: Engineering 92: 265-289.
9
[10] Tornabene F., Fantuzzi N., Bacciocchi M., Viola E., 2015, Static and dynamic analyses of doubly-curved composite thick shells with variable radii of curvatures, Conference: XXII Convegno Italiano dell’Associazione Italiana di Meccanica Teorica e Applicata (AIMETA2015).
10
[11] Mohammadi K., Mahinzare M., Rajabpour A., Ghadiri M., 2017, Comparison of modeling a conical nanotube resting on the Winkler elastic foundation based on the modified couple stress theory and molecular dynamics simulation, European Physical Journal Plus 132(3): 115.
11
[12] Şimşek M., 2010, Vibration analysis of a functionally graded beam under a moving mass by using different beam theories, Composite Structures 92(4): 904-917.
12
[13] Ghadiri M., Shafiei N., Safarpour H., 2017, Influence of surface effects on vibration behavior of a rotary functionally graded nanobeam based on Eringen’s nonlocal elasticity, Microsystem Technologies 23(4): 1045-1065.
13
[14] Tornabene F., Fantuzzi N., Ubertini F., Viola E., 2015, Strong formulation finite element method based on differential quadrature: A survey, Applied Mechanics Reviews 67(2): 20801.
14
[15] Eringen A.C., Edelen D.G.B., 1972, On nonlocal elasticity, International Journal of Engineering Science 10(3): 233-248.
15
[16] Eringen A.C., 1983, On differential equations of nonlocal elasticity and solutions of screw dislocation and surface waves, Journal of Applied Physics 54(9): 4703-4710.
16
[17] Peddieson J., Buchanan G.R., McNitt R.P., 2003, Application of nonlocal continuum models to nanotechnology, International Journal of Engineering Science 41(3-5): 305-312.
17
[18] Reddy J.N., 2007, Nonlocal theories for bending, buckling and vibration of beams, International Journal of Engineering Science 45(2-8): 288-307.
18
[19] Wang Q., Liew K.M., 2007, Application of nonlocal continuum mechanics to static analysis of micro- and nano-structures, Physics Letters, Section A: General, Atomic and Solid State Physics 363(3): 236-242.
19
[20] Aydogdu M., 2009, A general nonlocal beam theory: its application to nanobeam bending, buckling and vibration, Physica E: Low-Dimensional Systems and Nanostructures 41(9): 1651-1655.
20
[21] Fernández Sáez J., Zaera R., Loya J.A., Reddy J.N., 2016, Bending of Euler-Bernoulli beams using Eringen’s integral formulation: A paradox resolved, International Journal of Engineering Science 99: 107-116.
21
[22] Phadikar J.K., Pradhan S.C., 2010, Variational formulation and finite element analysis for nonlocal elastic nanobeams and nanoplates, Computational Materials Science 49(3): 492-499.
22
[23] Pradhan S.C., Murmu T., 2010, Application of nonlocal elasticity and DQM in the flapwise bending vibration of a rotating nanocantilever, Physica E: Low-Dimensional Systems and Nanostructures 42(7): 1944-1949.
23
[24] Mahinzare M., Ranjbarpur H., Ghadiri M., 2018, Free vibration analysis of a rotary smart two directional functionally graded piezoelectric material in axial symmetry circular nanoplate, Mechanical Systems and Signal Processing 100: 188-207.
24
[25] Ebrahimi F., Salari E., 2015, Size-dependent free flexural vibrational behavior of functionally graded nanobeams using semi-analytical differential transform method, Composites Part B: Engineering 79: 156-169.
25
[26] Ebrahimi F., Salari E., 2015, A semi-analytical method for vibrational and buckling analysis of functionally graded nanobeams considering the physical neutral axis position, CMES-Computer Modeling in Engineering & Sciences 105(2): 151-181.
26
[27] Ebrahimi F., Ghadiri M., Salari E., Hoseini S.A.H., Shaghaghi G.R., 2015, Application of the differential transformation method for nonlocal vibration analysis of functionally graded nanobeams, Journal of Mechanical Science and Technology 29(3): 1207-1215.
27
[28] Ke L.L., Wang Y.S., 2011, Size effect on dynamic stability of functionally graded microbeams based on a modified couple stress theory, Composite Structures 93(2): 342-350.
28
[29] Thai H.T., 2012, A nonlocal beam theory for bending, buckling, and vibration of nanobeams, International Journal of Engineering Science 52: 56-64.
29
[30] Eltaher M.A., Emam S.A., Mahmoud F.F., 2012, Free vibration analysis of functionally graded size-dependent nanobeams, Applied Mathematics and Computation 218(14): 7406-7420.
30
[31] Eltaher M.A., Alshorbagy A.E., Mahmoud F.F., 2013, Determination of neutral axis position and its effect on natural frequencies of functionally graded macro/nanobeams, Composite Structures 99: 193-201.
31
[32] Eltaher M.A., Emam S.A., Mahmoud F.F., 2013, Static and stability analysis of nonlocal functionally graded nanobeams, Composite Structures 96: 82-88.
32
[33] Mahinzare M., Mohammadi K., Ghadiri M., Rajabpour A., 2017, Size-dependent effects on critical flow velocity of a SWCNT conveying viscous fluid based on nonlocal strain gradient cylindrical shell model, Microfluidics Nanofluidics 21(7): 123.
33
[34] Malekzadeh P., Shojaee M., 2013, Surface and nonlocal effects on the nonlinear free vibration of non-uniform nanobeams, Composites Part B: Engineering 52: 84-92.
34
[35] Ebrahimi F., Barati M.R., 2016, A nonlocal higher-order shear deformation beam theory for vibration analysis of size-dependent functionally graded nanobeams, Arabian Journal for Science and Engineering 41(5): 1679-1690.
35
[36] Huang Y., Li X.F., 2010, A new approach for free vibration of axially functionally graded beams with non-uniform cross-section, Journal of Sound and Vibration 329(11): 2291-2303.
36
[37] Şimşek M., Cansiz S., 2012, Dynamics of elastically connected double-functionally graded beam systems with different boundary conditions under action of a moving harmonic load, Composite Structures 94(9): 2861-2878.
37
[38] Rezaiee-Pajand M., Hozhabrossadati S.M., 2016, Analytical and numerical method for free vibration of double-axially functionally graded beams, Composite Structures 152: 488-498.
38
[39] Tounsi A., Semmah A., Bousahla A.A., 2013, Thermal buckling behavior of nanobeams using an efficient higher-order nonlocal beam theory, Journal of Nanomechanics Micromechanics 3(3): 37-42.
39
[40] Al-Basyouni K.S., Tounsi A., Mahmoud S.R., 2015, Size dependent bending and vibration analysis of functionally graded micro beams based on modified couple stress theory and neutral surface position, Composite Structures 125: 621-630.
40
[41] Mahinzare M., Barooti M.M., Ghadiri M., 2017, Vibrational investigation of the spinning bi-dimensional functionally graded (2-FGM) micro plate subjected to thermal load in thermal environment, Microsystem Technologies 24(3): 1695-1711.
41
[42] Sahmani S., Bahrami M., Ansari R., 2014, Nonlinear free vibration analysis of functionally graded third-order shear deformable microbeams based on the modified strain gradient elasticity theory, Composite Structures 110(1): 219-230.
42
[43] Khorshidi K., Fallah A., 2016, Buckling analysis of functionally graded rectangular nano-plate based on nonlocal exponential shear deformation theory, International Journal of Mechanical Sciences 113: 94-104.
43
[44] Asghari M., Rahaeifard M., Kahrobaiyan M.H., Ahmadian M.T., 2011, The modified couple stress functionally graded Timoshenko beam formulation, Materials and Design 32(3): 1435-1443.
44
[45] Asghari M., Ahmadian M.T., Kahrobaiyan M.H., Rahaeifard M., 2010, On the size-dependent behavior of functionally graded micro-beams, Materials and Design 31(5): 2324-2329, 2010.
45
[46] Alshorbagy A.E., Eltaher M.A., Mahmoud F.F., 2011, Free vibration characteristics of a functionally graded beam by finite element method, Applied Mathematical Modelling 35(1): 412-425.
46
[47] Ansari R., Gholami R., Sahmani S., 2011, Free vibration analysis of size-dependent functionally graded microbeams based on the strain gradient Timoshenko beam theory, Composite Structures 94(1): 221-228.
47
[48] Simsek M., Yurtcu H.H., 2013, Analytical solutions for bending and buckling of functionally graded nanobeams based on the nonlocal Timoshenko beam theory, Composite Structures 97: 378-386.
48
[49] Thai H.T., Vo T.P., 2012, Bending and free vibration of functionally graded beams using various higher-order shear deformation beam theories, International Journal of Mechanical Sciences 62(1): 57-66.
49
[50] Niknam H., Aghdam M.M., 2015, A semi analytical approach for large amplitude free vibration and buckling of nonlocal FG beams resting on elastic foundation, Composite Structures 119: 452-462.
50
[51] Ghiasian S.E., Kiani Y., Eslami M.R., 2013, Dynamic buckling of suddenly heated or compressed FGM beams resting on nonlinear elastic foundation, Composite Structures 106: 225-234.
51
[52] Ghiasian S.E., Kiani Y., Eslami M.R., 2015, Nonlinear thermal dynamic buckling of FGM beams, European Journal of Mechanics - A/Solids 54: 232-242.
52
[53] Ebrahimi F., Salari E., 2015, Effect of various thermal loadings on buckling and vibrational characteristics of nonlocal temperature-dependent FG nanobeams, Mechanics of Advanced Materials and Structures 23(12): 1-58.
53
[54] Alibeigloo A., 2010, Thermoelasticity analysis of functionally graded beam with integrated surface piezoelectric layers, Composite Structures 92(6): 1535-1543.
54
[55] Su Z., Jin G., Ye T., 2016, Vibration analysis and transient response of a functionally graded piezoelectric curved beam with general boundary conditions, Smart Materials and Structures 25(6): 65003.
55
[56] Li Y., Shi Z., 2009, Free vibration of a functionally graded piezoelectric beam via state-space based differential quadrature, Composite Structures 87(3): 257-264.
56
[57] Xiang H.J., Shi Z.F., 2009, Static analysis for functionally graded piezoelectric actuators or sensors under a combined electro-thermal load, European Journal of Mechanics - A/Solids 28(2): 338-346.
57
[58] Ebrahimi F., Barati M.R., 2016, Buckling analysis of nonlocal third-order shear deformable functionally graded piezoelectric nanobeams embedded in elastic medium, Journal of the Brazilian Society of Mechanical Sciences and Engineering 39: 937-952.
58
[59] Ebrahimi F., Reza Barati M., 2016, Vibration analysis of nonlocal beams made of functionally graded material in thermal environment, European Physical Journal Plus 131(8): 1-22.
59
[60] Ghadiri M., Shafiei N., 2016, Nonlinear bending vibration of a rotating nanobeam based on nonlocal Eringen’s theory using differential quadrature method, Microsystem Technologies 22(12): 2853-2867.
60
[61] Shafiei N., Kazemi M., Ghadiri M., 2016, Nonlinear vibration of axially functionally graded tapered microbeams, International Journal of Engineering Science 102: 12-26.
61
[62] Shafiei N., Kazemi M., Ghadiri M., 2016, On size-dependent vibration of rotary axially functionally graded microbeam, International Journal of Engineering Science 101: 29-44.
62
[63] Ghadiri M., Shafiei N., 2016, Vibration analysis of rotating functionally graded Timoshenko microbeam based on modified couple stress theory under different temperature distributions, Acta Astronautica 121: 221-240.
63
[64] Shafiei N., Mousavi A., Ghadiri M., 2016, Vibration behavior of a rotating non-uniform FG microbeam based on the modified couple stress theory and GDQEM, Composite Structures 149: 157-169.
64
[65] Rahmani O., Pedram O., 2014, Analysis and modeling the size effect on vibration of functionally graded nanobeams based on nonlocal Timoshenko beam theory, International Journal of Engineering Science 77: 55-70.
65
[66] Ebrahimi F., Barati M.R., 2016, Dynamic modeling of a thermo–piezo-electrically actuated nanosize beam subjected to a magnetic field, Applied Physics A 122(4): 1-18.
66
[67] Reddy J.N., Chin C.D., 1998, Thermomechanical analysis of functionally graded cylinders and plates, Journal of Thermal Stresses 21(6): 593-626.
67
ORIGINAL_ARTICLE
A Modified Model to Determine Heat Generation in the Friction Stir Welding Process
Friction stir welding (FSW) is a solid state bonding process in which the parts are joined together at the temperature below the melting point. In present study, a modified model was developed based on the partial sticking/sliding assumption in the tool-workpiece interface and the dependence of the thermal energy equations on the temperature-dependent yield stress to determine heat generation in FSW process that is independent from coefficient of friction. So to eliminate the dependence of the final equations on the coefficient of friction, an equation was used which the coefficient of friction was expressed as a function of workpiece yield stress. To validate the model, the FSW process was simulated by the finite element package ABAQUS and two subroutines of DFLUX and USDFLD and then the simulation results were compared with the experimental ones. The results showed that the modified model is appropriately capable of predicting the temperature and the residual stresses in the different zones of welded section.
http://jsm.iau-arak.ac.ir/article_680524_579257c89f326cd68bb21afd759e4039.pdf
2021-03-30
27
36
10.22034/jsm.2019.1867048.1429
Friction Stir Welding
Thermal model
coefficient of friction
Yield stress
numerical simulation
A
Ghiasvand
amir.ghiasvand@tabrizu.ac.ir
1
Department of Mechanical Engineering, University of Tabriz, Tabriz, Iran
LEAD_AUTHOR
S
Hasanifard
2
Department of Mechanical Engineering, University of Tabriz, Tabriz, Iran
AUTHOR
M
Zehsaz
3
Department of Mechanical Engineering, University of Tabriz, Tabriz, Iran
AUTHOR
[1] Thomas W., 1991, Friction stir welding, International Patent Application.
1
[2] Mishra R.S., De P.S., Kumar N., 2014, Friction Stir Welding and Processing: Science and Engineering, Springer.
2
[3] Ahmed M., 2017, Friction stir welding of similar and dissimilar AA7075 and AA5083, Journal of Materials Processing Technology 242: 77-91.
3
[4] Frigaard Q., Grong Q., Midling O., 2001, A process model for friction stir welding of age hardening aluminum alloys, Metallurgical and Materials Transactions A 32(5): 1189-1200.
4
[5] Chao Y.J., Qi X., Tang W., 2003, Heat transfer in friction stir welding—experimental and numerical studies, Journal of Manufacturing Science and Engineering 125(1): 138-145.
5
[6] Chen C., Kovacevic R., 2003, Finite element modeling of friction stir welding—thermal and thermomechanical analysis, International Journal of Machine Tools and Manufacture 43(13): 1319-1326.
6
[7] Khandkar M., Khan J.A., Reynolds A.P., 2003, Prediction of temperature distribution and thermal history during friction stir welding: input torque based model, Science and Technology of Welding and Joining 8(3): 165-174.
7
[8] Song M., Kovacevic R., 2003, Thermal modeling of friction stir welding in a moving coordinate system and its validation, International Journal of Machine Tools and Manufacture 43(6): 605-615.
8
[9] Schmidt H., Hattel J., Wert J., 2003, An analytical model for the heat generation in friction stir welding, Modelling and Simulation in Materials Science and Engineering 12(1): 143.
9
[10] Nandan R., 2007, Three-dimensional heat and material flow during friction stir welding of mild steel, Acta Materialia 55(3): 883-895.
10
[11] Schmidt H., Hattel J., 2005, Modelling heat flow around tool probe in friction stir welding, Science and Technology of Welding and Joining 10(2): 176-186.
11
[12] Riahi M., Nazari H., 2011, Analysis of transient temperature and residual thermal stresses in friction stir welding of aluminum alloy 6061-T6 via numerical simulation, The International Journal of Advanced Manufacturing Technology 55(1-4): 143-152.
12
[13] Russell M., Shercliff H., 1999, Analytical modelling of microstructure development in friction stir welding, 1st International Symposium on Friction Stir Welding, Thousand Oaks, California.
13
[14] Colegrove P.A., 2001, 3 Dimensional Flow and Thermal Modelling of the Friction Stir Welding Process, University of Adelaide, Department of Mechanical Engineering.
14
[15] Su H., 2015, Numerical modeling for the effect of pin profiles on thermal and material flow characteristics in friction stir welding, Materials & Design 77: 114-125.
15
[16] Amini S., Amiri M., Barani A., 2015, Investigation of the effect of tool geometry on friction stir welding of 5083-O aluminum alloy, The International Journal of Advanced Manufacturing Technology 76(1-4): 255-261.
16
[17] Meyghani B., 2017, Developing a finite element model for thermal analysis of friction stir welding by calculating temperature dependent friction coefficient, 2nd International Conference on Mechanical, Manufacturing and Process Plant Engineering, Springer.
17
[18] Hibbit H., Karlsson B., Sorensen E., 2012, ABAQUS user manual, version 6.12, Simulia, Providence, RI.
18
[19] Aval H.J., Serajzadeh S., Kokabi A., 2011, Evolution of microstructures and mechanical properties in similar and dissimilar friction stir welding of AA5086 and AA6061, Materials Science and Engineering A 528(28): 8071-8083.
19
[20] Nandan R., 2006, Numerical modelling of 3D plastic flow and heat transfer during friction stir welding of stainless steel, Science and Technology of Welding and Joining 11(5): 526-537.
20
[21] Staron P., 2004, Residual stress in friction stir-welded Al sheets, Physica B: Condensed Matter 350(1-3): E491-E493.
21
[22] Khandkar M.Z.H., 2006, Predicting residual thermal stresses in friction stir welded metals, Journal of Materials Processing Technology 174(1-3): 195-203.
22
[23] Feng Z., 2007, Modelling of residual stresses and property distributions in friction stir welds of aluminium alloy 6061-T6, Science and Technology of Welding and Joining 12(4): 348-356.
23
[24] Dalle Donne C., Wegener J., Pyzalla A., Buslaps T., 2001, Investigation of residual stressesin friction stir welds, Third International Symposium on Friction Stir Welding, Kobe, Japan, TWI, Cambridge.
24
ORIGINAL_ARTICLE
Thermal Buckling Analysis of Porous Conical Shell on Elastic Foundation
In this research, the thermal buckling analysis of a truncated conical shell made of porous materials on elastic foundation is investigated. The equilibrium equations and the conical shell`s stability equations are obtained by using the Euler`s and the Trefftz equations .Properties of the materials used in the conical shell are considered as porous foam made of steel, which is characterized by its non-uniform distribution of porous materials along the thickness direction. Initially, the displacement field relation based on the classical model for double-curved shell is expressed in terms of the Donnell`s assumptions. Non-linear strain-displacement relations are obtained according to the von Kármán assumptions by applying the Green-Lagrange strain relationship. Then, performing the Euler equations leads obtaining nonlinear equilibrium equations of cylindrical shell. The stability equations of conical shell are obtained based on neighboring equilibrium benchmark (adjacent state). In order to solve the stability equations, primarily, due to the existence of axial symmetry, we consider the cone crust displacement as a sinusoidal geometry, and then, using the generalized differential quadrature method, we solve them to obtain the critical temperature values of the buckling Future. In order to validate the results, they compare with the results of other published articles. At the end of the experiment, various parameters such as dimensions, boundary conditions, cone angle, porosity parameter and elastic bed coefficients are investigated on the critical temperature of the buckling.
http://jsm.iau-arak.ac.ir/article_681301_e601c246762a7341a8e763c4a69af90f.pdf
2021-03-30
37
53
10.22034/jsm.2020.1884938.1524
Thermal buckling
Truncated conical shell
Porous
M
Gheisari
gheisari@iaukhomein.ac.ir
1
Department of Mechanical Engineering, Islamic Azad University, Arak Branch, Arak, Iran
AUTHOR
M.M
Najafizadeh
m-najafizadeh@iau-arak.ac.ir
2
Department of Mechanical Engineering, Islamic Azad University, Arak Branch, Arak, Iran
LEAD_AUTHOR
A. R
Nezamabadi
3
Department of Mechanical Engineering, Islamic Azad University, Arak Branch, Arak, Iran
AUTHOR
S
Jafari
s.jafari@ub.ac.ir
4
Department of Mechanical Engineering, Islamic Azad University, Arak Branch, Arak, Iran
AUTHOR
P
Yousefi
5
Department of Mechanical Engineering, Islamic Azad University, Arak Branch, Arak, Iran
AUTHOR
[1] Eslami M.R., Ziaii A.R., Ghorbanpour A., 1996, Thermoelastic buckling of thin cylindrical shells based on improved donnell equations, Journal of Thermal Stresses 19: 299-316.
1
[2] Najafizadeh M.M., Hasani A., Khazaeinejad P., 2009, Mechanical stability of functionally graded stiffened cylindrical shells, Applied Mathematical Modelling 33: 1151-1157.
2
[3] Tornabene F., Viola E., Inman D.J., 2009, 2-D differential quadrature solution for vibration analysis of functionally graded conical, cylindrical shell and annular plate structures, Journal of Sound and Vibration 328: 259-290.
3
[4] Tornabene F., 2009, Free vibration analysis of functionally graded conical, cylindrical shell and annular plate structures with a four-parameter power-law distribution, Computer Methods in Applied Mechanics and Engineering 198: 2911-2935.
4
[5] Bagherizadeh E., Kiani Y., Eslami M.R., 2011, Mechanical buckling of functionally graded material cylindrical shells surrounded by Pasternak elastic foundation, Composite Structures 93: 3063-7301.
5
[6] Bagherizadeh E., Kiani Y., Eslami M.R., 2012, Thermal buckling of functionally graded material cylindrical shells on elastic foundation, AIAA Journal 50: 500-503.
6
[7] Sofiyev A.H., Kuruoglu N., 2013, Torsional vibration and buckling of the cylindrical shell with functionally graded coatings surrounded by an elastic medium, Composites Part B 45: 1133-1142.
7
[8] Dung D.V., Hoa L.K., 2013, Nonlinear buckling and postbuckling analysis of eccentrically stiffened functionally graded circular cylindrical shells under external pressure, Thin-Walled Structures 63: 117-124.
8
[9] Dung D.V., Hoa L.K., 2013, Research on nonlinear torsional buckling and post-buckling of eccentrically stiffened functionally graded thin circular cylindrical shells, Composites Part B 51: 300-309.
9
[10] Dung D.V., Hoa L.K., 2015, Semi-analytical approach for analyzing the nonlinear dynamic torsional buckling of stiffened functionally graded material circular cylindrical shells surrounded by an elastic medium, Applied Mathematical Modelling 39: 6951-6967.
10
[11] Sabzikar Boroujerdy M., Naj R., Kiani Y., 2014, Buckling of heated temperature dependent FGM cylindrical shell surrounded by elastic medium, Theoretical and Applied Mechanics 52(4): 869-881.
11
[12] Castro S., Mittelstedt C., Monteiro F., Arbelo M., Ziegmann G., Degenhardt R., 2014, Linear buckling predictions of unstiffened laminated composite cylinders and cones under various loading and boundary conditions using semi-analytical models, Composite Structures 118: 303-315.
12
[13] Dung D.V., Nam V.H., 2014, Nonlinear dynamic analysis of eccentrically stiffened functionally graded circular cylindrical thin shells under external pressure and surrounded by an elastic medium, European Journal of Mechanics - A/Solids 46: 42-53.
13
[14] Dung D.V., Hoa L.K., 2015, Research on nonlinear torsional buckling and post-buckling of eccentrically stiffened FGMcylindrical shell in thermal environment, Composites Part B 69: 378-388.
14
[15] Asadi H., Kiani Y., Aghdam M.M., Shakeri M., 2016, Enhanced thermal buckling of laminated composite cylindrical shells with shape memory alloy, Applied Composite Materials 50: 243-256.
15
[16] Tung H.V., 2014, Nonlinear thermomechanical stability of shear deformable FGM shallow spherical shells resting on elastic foundations with temperature dependent properties, Composite Structures 114: 107-116.
16
[17] Tornabene F., Viola E., 2013, Static analysis of functionally graded doubly-curved shells and panels of revolution, Meccanica 48: 901-930.
17
[18] Bich D.H., Dung D.V., Nam V.H., 2013, Nonlinear dynamic analysis of eccentrically stiffened imperfect functionally graded doubly curved thin shallow shells, Composite Structures 96: 384-395.
18
[19] Tornabene F., Fantuzzi N., Viola E., Reddy J.N., 2014, Winkler-Pasternak foundation effect on the static and dynamic analyses of laminated doubly-curved and degenerate shells and panels, Composites Part B 57: 269-296.
19
[20] Tornabene F., Fantuzzi N., Viola E., Batra R.C., 2015, Stress and strain recovery for functionally graded free-form and doublycurved sandwich shells using higher-order equivalent single layer theory, Composite Structures 119: 67-89.
20
[21] Tornabene F., Fantuzzi N., Bacciocchi M., Viola E., Reddy J.N., 2017, A numerical investigation on the natural frequencies of FGM sandwich shells with variable thickness by the local generalized differential quadrature method, Applied Sciences 7(131): 1-39.
21
[22] Tornabene F., Viola E., 2009, Free vibrations of four-parameter functionally graded parabolic panels and shells of revolution, European Journal of Mechanics - A/Solids 28: 991-1013.
22
[23] Tornabene F.,Viola E., 2009, Free vibration analysis of functionally graded panels and shells of revolution, Meccanica 44: 255-281.
23
[24] Mecitoglu Z., 1996, Vibration characteristics of a stiffened conical shell, Journal of Sound and Vibration 197(2): 191-206.
24
[25] Rao S.S., Reddy E.S., 1981, Optimum design of stiffened conical shells with natural frequency constraints, Composite Structures 14(1-2): 103-110.
25
[26] Sofiyev A.H., 2007, Thermoelastic stability of functionally graded truncated conical shells, Composite Structures 77: 56-65.
26
[27] Sofiyev A.H., 2010, The buckling of FGM truncated conical shells subjected to combined axial tension and hydrostatic pressure, Composite Structures 92: 488-498.
27
[28] Sofiyev A.H., 2015, Buckling analysis of freely-supported functionally graded truncated conical shells under external pressures, Composite Structures 132: 746-758.
28
[29] Sofiyev A.H., 2010, The buckling of FGM truncated conical shells subjected to axial compressive load and resting on Winkler- Pasternak foundations, International Journal of Pressure Vessels and Piping 87: 753-761.
29
[30] Naj R., Boroujerdy M.S., Eslami M.R., 2008, Thermal and mechanical instability of functionally graded truncated conical shells, Thin-Walled Structures 46: 65-78.
30
[31] Bich D.H., Phuong N.T., Tung H.V., 2012, Buckling of functionally graded conical panels under mechanical loads, Composite Structures 94: 1379-1384.
31
[32] Torabi J., Kiani Y., Eslami M.R., 2013, Linear thermal buckling analysis of truncated hybrid FGM conical shells, Composites Part B 50: 265-272.
32
[33] Sofiyev A.H., Kuruoglu N., 2013, Nonlinear buckling of an FGM truncated conical shells surrounded by an elastic medium, International Journal of Pressure Vessels and Piping 107: 38-49.
33
[34] Dung D.V., Hoa L.K., Nga N.T., Anh L.T.N., 2013, Instability of eccentrically stiffened functionally graded truncated conical shells under mechanical loads, Composite Structures 106: 104-113.
34
[35] Bahadori R., Najafizadeh M.M., 2015, Free vibration analysis of two-dimensional functionally graded axisymmetric cylindrical shell on Winkler–Pasternak elastic foundation by first-order shear deformation theory and using navier-differential quadrature solution methods, Applied Mathematical Modelling 39(16): 4877-4894.
35
ORIGINAL_ARTICLE
Experimental and Numerical Investigation on Geometric Parameters of Aluminum Patches for Repairing Cracked Parts by Diffusion Method
Repairing cracked aerial structures using patches is a common way to restore mechanical properties, strength and extend fatigue life. The performance of such patches can be obtained by comparing the maximum amount of force tolerated by the repaired piece with the unrepaired piece. The shape and dimensions of the patch used to repair the crack and the way the patch is bonded affect the repair quality which are of great importance. Therefore, in this paper, we investigate the factors affecting the diffusion bonding between the patch and the piece. The impact of the shape of the aluminum patch attached on a 10 mm central crack piece and perpendicular to the loading direction (mode I) is studied experimentally and numerically. The optimum conditions for the diffusion connection including the pressure, time and temperature of the connection were obtained experimentally using a composite rotatable centered design and in the connection made under these conditions, the patch shape and aspect ratio was considered as variables of design, and the results were obtained for square, rectangular, circular and elliptical patches. At the end, it was found that the best connection under the pressure conditions of 570 °C, 70 bar and 100 min was formed and the rectangular patch efficiency was greater whereas its extent is more in line with crack than the other modes. At a fixed area, the different patch geometries investigated in this study were able to influence up to 80% of the maximum force tolerated by the repaired parts. Also, there is an acceptable convergence between experimental and numerical results.
http://jsm.iau-arak.ac.ir/article_680848_9a002a5a3044b4cc2778fcaea92115b8.pdf
2021-03-30
54
67
10.22034/jsm.2020.1885686.1528
Crack repair
Diffusion Bonding
Bonding temperature
Aluminum patch
Optimum patch design
S
Dehghanpour
1
Department of Mechanical Engineering, Islamic Azad University, Arak Branch, Arak, Iran
AUTHOR
A. R
Nezamabadi
a-nezamabadi@iau-arak.ac.ir
2
Department of Mechanical Engineering, Islamic Azad University, Arak Branch, Arak, Iran
LEAD_AUTHOR
M.M
Attar
3
Department of Mechanical Engineering, Hamedan Branch, Islamic Azad University, Hamedan, Iran
AUTHOR
F
Barati
4
Department of Mechanical Engineering, Hamedan Branch, Islamic Azad University, Hamedan, Iran
AUTHOR
M
Tajdari
m.tajdari@srbiau.ac.ir
5
Department of Mechanical Engineering, Faculty of Electrical, Mechanical and Computer Engineering, University of Eyvanekey, Eyvanekey, Iran
AUTHOR
[1] Khan M.A., Kumar S., 2017, Interfacial stresses in single-side composite patch-repairs with material tailored bondline, Mechanics of Advanced Materials and Structures 25(4): 304-318.
1
[2] Therall E.W., 1972, Failure in Adhesively Bonded Structures, Bonded Joints and Preparatoin for Bonding, AGARD-CP-102.
2
[3] Baker A.A., 1984, Repair of cracked or defective metallic aircraft components with advanced fibre composites—an overview of Australian work, Composite Structures 2(2): 153-181.
3
[4] Ghasemi F.A., Anaraki A.P., Rouzbahani A.H., 2014, Using XFEM for investigating the crack growth of cracked aluminum plates repaired with fiber metal laminate (FML) patches, Modares Mechanical Engineering 13(14): 15-27.
4
[5] Ghasemi A.R., Mohammadi Fesharaki M., Mohandes M., 2017, Three-phase micromechanical analysis of residual stresses in reinforced fiber by carbon nanotubes, Journal of Composite Materials 51(12): 1783-1794.
5
[6] Kurgan N., 2014, Investigation of the effect of diffusion bonding parameters on microstructure and mechanical properties of 7075 aluminium alloy, The International Journal of Advanced Manufacturing Technology 71(9-12): 2115-2124.
6
[7] Hinotani S., Ohmori Y., 1988, The microstructure of diffusion-bonded Ti/Ni interface, Transactions of the Japan Institute of Metals 29(2): 116-124.
7
[8] Nishi H., Araki T., Eto M., 1998, Diffusion bonding of alumina dispersion-strengthened copper to 316 stainless steel with interlayer metals, Fusion Engineering and Design 39: 505-511.
8
[9] Yilmaz O., Aksoy M., 2002, Investigation of micro-crack occurrence conditions in diffusion bonded Cu-304 stainless steel couple, Journal of Materials Processing Technology 121(1): 136-142.
9
[10] Yilmaz O., Celik H., 2003, Electrical and thermal properties of the interface at diffusion-bonded and soldered 304 stainless steel and copper bimetal, Journal of Materials Processing Technology 141(1): 67-76.
10
[11] Kumar A. M., Hakeem S. A., 2000, Optimum design of symmetric composite patch repair to centre cracked metallic sheet, Composite Structures 49(3): 285-292.
11
[12] Brighenti R., 2007, Patch repair design optimisation for fracture and fatigue improvements of cracked plates, International Journal of Solids and Structures 44(3-4): 1115-1131.
12
[13] Okafor A.C., Singh N., Enemuoh U.E., Rao S.V., 2005, Design, analysis and performance of adhesively bonded composite patch repair of cracked aluminum aircraft panels, Composite Structures 71(2): 258-270.
13
[14] Albedah A., Bouiadjra B. B., Mhamdia R., Benyahia F., Es-Saheb M., 2011, Comparison between double and single sided bonded composite repair with circular shape, Materials & Design 32(2): 996-1000.
14
[15] Mahendran G., Babu S., Balasubramanian V., 2010, Analyzing the effect of diffusion bonding process parameters on bond characteristics of Mg-Al dissimilar joints, Journal of Materials Engineering and Performance 19(5): 657-665.
15
[16] Kurt B., Orhan N., Evin E., Çalik A., 2007, Diffusion bonding between Ti–6Al–4V alloy and ferritic stainless steel, Materials Letters 61(8-9): 1747-1750.
16
[17] Wei Y., Aiping W., Guisheng Z., Jialie R., 2008, Formation process of the bonding joint in Ti/Al diffusion bonding, Materials Science and Engineering A 480(1-2): 456-463.
17
[18] Kenevisi M.S., Khoie S.M., 2012, A study on the effect of bonding time on the properties of Al7075 to Ti–6Al–4V diffusion bonded joint, Materials Letters 76: 144-146.
18
[19] Chen H., Cao J., Tian X., Li R., Feng J., 2013, Low-temperature diffusion bonding of pure aluminum, Applied Physics A 113(1): 101-104.
19
[20] Kumar S., Kumar P., Shan H.S., 2007, Effect of evaporative pattern casting process parameters on the surface roughness of Al–7% Si alloy castings, Journal of Materials Processing Technology 182(1-3): 615-623.
20
[21] Mahendran G., Balasubramanian V., Senthilvelan T, 2009, Developing diffusion bonding windows for joining AZ31B magnesium–AA2024 aluminium alloys, Materials & Design 30(4): 1240-1244.
21
[22] Dehghanpour S., Nezamabadi A., Attar M., Barati F., Tajdari M, 2019, Repairing cracked aluminum plates by aluminum patch using diffusion method, Journal of Mechanical Science and Technology 33(10): 4735-4743.
22
[23] Ismail A., Hussain P., Mustapha M., Nuruddin M.F., Saat A.M., Abdullah A., Chevalier S., 2016, Fe-Al diffusion bonding: effect of reaction time on the interlayer thickness, Journal of Mechanical Engineering 13(2): 10-20.
23
[24] Montgomery D.C., 2017, Design and Analysis of Experiments, John Wiley & Sons.
24
[25] Jafarian M., Paidar M., 2016, The comparison of microstructure and mechanical properties of diffusion joints of 5754, 6061, and 7039 aluminum alloys to AZ31 magnesium alloy, Journal of Advanced Materials in Engineering 35(1): 11-21.
25
[26] Fernandus M.J., Senthilkumar T., Balasubramanian V., 2011, Developing temperature–time and pressure–time diagrams for diffusion bonding AZ80 magnesium and AA6061 aluminium alloys, Materials & Design 32(3): 1651-1656.
26
[27] Fernandus M.J., Senthilkumar T., Balasubramanian V., Rajakumar S., 2012, Optimising diffusion bonding parameters to maximize the strength of AA6061 aluminium and AZ31B magnesium alloy joints, Materials & Design 33: 31-41.
27
[28] Kundu S., Chatterjee S., 2008, Characterization of diffusion bonded joint between titanium and 304 stainless steel using a Ni interlayer, Materials Characterization 59(5): 631-637.
28
ORIGINAL_ARTICLE
Structural and Crack Parameter Identification on Structures Using Observer Kalman Filter Identification/Eigen System Realization Algorithm
Structural and crack parameters in a continuous mass model are identified using Observer Kalman filter Identification (OKID) and Eigen Realization Algorithm (ERA). Markov parameters are extracted from the input and out responses from which the state space model of the structural system is determined using Hankel matrix and singular value decomposition by Eigen Realization algorithm. The structural parameters are identified from the state space model. This method is applied to a lumped mass system and a cantilever which are excited with a harmonic excitation at its free end and the acceleration responses at all nodes are measured. The stiffness and damping parameters are identified from the extracted matrices using Newton-Raphson method on the structure. Later, cracks are introduced in the cantilever and all structural parameters are assumed as known priori, the unknown crack parameters such as normalized crack depth and its location are identified using OKID/ERA. The parameters extracted by using this algorithm are compared with other structural identification methods available in the literature. The main advantage of this algorithm is good accuracy of identified structural parameters.
http://jsm.iau-arak.ac.ir/article_680769_9e034c85d269151a0e39081b05be06a9.pdf
2021-03-30
68
79
10.22034/jsm.2020.1875643.1475
Observer kalman filter identification
Eigen realization
Markov parameters
Newton-raphson
Structural identification
P
Nandakumar
nandakup@srmist.edu.in
1
Mechanical Engineering SRM, Institute of Science and Technology Chennai, India
LEAD_AUTHOR
J
Jacob
2
Mechanical Engineering SRM, Institute of Science and Technology Chennai, India
AUTHOR
[1] Chou J.-H., Ghaboussi J., 2001, Genetic algorithm in structural damage detection, Computers & Structures 79(14): 1335- 1353.
1
[2] Doebling S.W., Farrar C.R., Prime M.B., 1998, A summary review of vibration-based damage identification methods, The Shock and Vibration Digest 30: 91-105.
2
[3] Gounaris G., Dimarogonas A., 1988, A finite element of a cracked prismatic beam for structural analysis, Computers & Structures 28(3): 309-313.
3
[4] Jacob V.J., Nandakumar P., 2016, Structural identification on beam structures using OKID/ER algorithm, Proceedings of Sixth International Congress on Computational Mechanics and Simulation (ICCMS2016), IIT Bombay.
4
[5] Jer-Nan J., Minh P., Horta L.G., Longman R.W., 1993, Identification of observer/Kalman filter Markov parameters -theory and experiments, Journal of Guidance, Control, and Dynamics 16(2): 320-329.
5
[6] Juang J.N., Pappa R.S., 1985, An eigen system realization algorithm for modal parameter identification and model education, Journal of Guidance Control and Dynamics 8(5): 620-627.
6
[7] Koh C.G., Hong B., Liaw C.Y., 2003, Substructural and progressive structural identification methods, Engineering Structures 25: 1551-1563.
7
[8] Krawczuk M., Zak A., Ostachowicz W., 2000, Elastic beam finite element with a transverse elasto-plastic crack, Finite Elements in Analysis and Design 34(1): 61-73.
8
[9] Lee J., 2009, Identification of multiple cracks in a beam using natural frequencies, Journal of Sound and Vibration 320(3): 482-490.
9
[10] Lee Y.-S., Chung M.-J., 2000, A study on crack detection using eigen frequency test data, Computers& Structures 77(3): 327-342.
10
[11] Nandakumar P., Shankar K., 2015, Structural crack damage detection using transfer matrix and state vector,
11
Measurement 68: 310-327.
12
[12] Parhi D.R., Das H., 2008, Smart crack detection of a beam using fuzzy logic controller, International Journal of Computational Intelligence Theory and Practice 3(1): 9-21.
13
[13] Qian G.-L., Gu S.-N., Jiang J.-S., 1990, The dynamic behaviour and crack detection of a beam with a crack, Journal of Sound and Vibration 138(2): 233-243.
14
[14] Suh M.-W., Shim M.-B., Kim M.-Y., 2000, Crack identification using hybrid neuro-genetic technique, Journal of Sound and Vibration 238(4): 617-635.
15
[15] Tee K.F., Koh C.G., Quek S.T., 2005, Substructural first- and second-order model identification for structural damage assessment, Earthquake Engineering and Structural Dynamics 34: 1755-1775.
16
[16] Vakil-Baghmisheh M.-T., Peimani M., Sadeghi M. H., Ettefagh M. M., 2008, Crack detection in beam-like structures using genetic algorithms, Applied Soft Computing 8(2): 1150-1160.
17
[17] Varghese C.K., Shankar K., 2012, Crack identification using combined power flow and acceleration matching technique, Inverse Problems in Science and Engineering 20(8): 1239-1257.
18
[18] Viola E., Federici L., Nobile L., 2001, Detection of crack location using cracked beam element method for structural analysis, Theoretical and Applied Fracture Mechanics 36(1): 23-35.
19
[19] Viola E., Nobile L., Federici L., 2002, Formulation of cracked beam element for structural analysis, Journal of Engineering Mechanics 128(2): 220-230.
20
ORIGINAL_ARTICLE
Vibration Analysis of a Magneto Thermo Electrical Nano Fiber Reinforced with Graphene Oxide Powder Under Refined Beam Model
The present article express the magneto thermo electric deformation of composite nano fiber reinforced by graphene oxide powder (GOP). To reach the governing equation of the problem a higher-order trigonometric refined beam model is utilized according to Hamilton’s principle. The effect of a nonuniform magnetic and thermo piezo electric field is applied to the governing equations by combining the field relations with the displacement field equations. Then, obtained equations are solved by using Galerkin’s method to consider the influence of different boundary conditions on the vibrational responses of the fiber. The accuracy and efficiency of the presented model is verified by comparing the results with that of published researches. Further, the effects of different variant on the dimensionless frequency of GOP reinforced magneto piezo thermo elastic composite fibers are highlighted through tables and dispersion curves. The weight fraction of GOP and the magneto thermo electro effects have significant influence in the stiffness of the nano composites.
http://jsm.iau-arak.ac.ir/article_680847_cc2c8afb483d03dff237ebb109863e2c.pdf
2021-03-30
80
94
10.22034/jsm.2020.1895052.1557
Static Stability
Piezo electric fibers
Magneto thermo elastic beam
Graphene oxide powder
Refined trignometric beam theory
NEMS
R
Selvamani
selvamani@karunya.edu
1
Department of Mathematics, Karunya Institute of Technology and Sciences, Coimbatore-641114, Tamilnadu, India
LEAD_AUTHOR
J
Rexy
2
Department of Mathematics, Karunya Institute of Technology and Sciences, Coimbatore-641114, Tamilnadu, India
AUTHOR
F
Ebrahimi
febrahimy@ut.ac.ir
3
Department of Mechanical Engineering, Imam Khomieni International University, Qazvin, Iran
AUTHOR
[1] Ni Z., Bu H., Zou M., Yi H., Bi K., Chen Y., 2010, Anisotropic mechanical properties of graphene sheets from molecular dynamics, Physica B: Condensed Matter 405: 1301-1306.
1
[2] Emam S., Eltaher M., 2016, Buckling and postbuckling of composite beams in hygrothermal environments, Composite Structures 152: 665-675.
2
[3] Arefi M., Zenkour A.M., 2017, Wave propagation analysis of a functionally graded magneto-electro-elastic nanobeam rest on Visco-Pasternak foundation, Mechanics Research Communications 79: 51-62.
3
[4] Ke L.L., Wang Y.S., 2014, Free vibration of size-dependent magneto–electro-elastic nanobeams based on the nonlocal theory, Physica E 63: 52-61.
4
[5] Kheibari F., Beni Y.T., 2017, Size dependent electro-mechanical vibration of single-walled piezoelectric nanotubes using thin shell model, Materials and Design 114: 572-583.
5
[6] Selvamani R., Ebrahimi F., 2020, Axisymmetric vibration in a submerged, piezoelectric rod coated with thin film, Trends in Mathematics 2020: 203-211.
6
[7] Ke L., Wang Y., Reddy J., 2014, Thermo-electro-mechanical vibration of size-dependent piezoelectric cylindrical nanoshells under various boundary conditions, Composite Structures 116: 626-636.
7
[8] Ebrahimi F., Jafari A., Selvamani R., 2020, Thermal buckling analysis of magneto electro elastic porous FG beam in thermal environment, Advanes in Nano Research 8(1): 83-94.
8
[9] Alibeigi B., Beni Y.T., Mehralian F., 2018, On the thermal buckling of magneto-electro-elastic piezoelectric nanobeams, The European Physical Journal Plus 133(3): 133.
9
[10] Liu D., Kitipornchai S., Chen W., 2018, Three dimensional buckling and free vibration analyses of initially stressed functionally graded graphene reinforced composite cylindrical shell, Composite Structures 189: 560-569.
10
[11] Shen H.S., Xiang Y., Lin F., 2017, Buckling and postbuckling of functionally graded graphene-reinforced composite laminated plates in thermal environments, Composites Part B: Engineering 119: 67-78.
11
[12] Zhang Z., Li Y., Wu H., Zhang H., Wu H., Jiang S., Chai G., 2018, Mechanical analysis of functionally graded graphene oxide-reinforced composite beams based on the first-order shear deformation theory, Mechanics of Advanced Materials and Structures 27: 3-11.
12
[13] Garcia-Macias E., Rodriguez-Tembleque L., Saez A., 2018, Bending and free vibration analysis of functionally graded graphene vs. carbon nanotube reinforced composite plates, Composite Structures 186: 123-138.
13
[14] Martin-Gallego M., Bernal M.M., Hernandez M., Verdejo R., Lopez-Manchado M.A., 2013, Comparison of filler percolation and mechanical properties in graphene and carbon nanotubes filled epoxy nanocomposites, European Polymer Journal 49: 1347-1353.
14
[15] Im H., Kim J., 2012, Thermal conductivity of a graphene oxide–carbon nanotube hybrid/epoxy composite, Carbon 50: 5429-5440.
15
[16] Ebrahimi F., Nouraei M., Dabbagh A., 2020, Thermal vibration analysis of embedded graphene oxide powder-reinforced nanocomposite plates, Engineering with Computers 36: 879-895.
16
[17] Ebrahimi F., Nouraei M., Dabbagh A., 2019, Modeling vibration behavior of embedded graphene-oxide powder-reinforced nanocomposite plates in thermal environment, Mechanics Based Design of Structures and Machines 48: 1-24.
17
[18] Ebrahimi F., Dabbagh A., Civalek O., 2019, Vibration analysis of magnetically affected graphene oxide-reinforced nanocomposite beams, Journal of Vibration and Control 25: 2837-2849.
18
[19] Mao J.J., Zhang W., 2018, Linear and nonlinear free and forced vibrations of grapheme reinforced piezoelectric composite plate under external voltage excitation, Composite Structures 203: 551-565.
19
[20] Mao J.J., Zhang W., 2019, Buckling and post-buckling analyses of functionally graded graphene reinforced piezoelectric plate subjected to electric potential and axial forces, Composite Structures 216: 392-405.
20
[21] Ebrahimi F., Karimiasl M., Selvamani R., 2020, Bending analysis of magneto-electro piezoelectric nanobeams system under hygro-thermal loading, Advances in Nano Research 8(3): 203-214.
21
[22] Ebrahimi F., Kokaba M., Shaghaghi G., Selvamani R., 2020, Dynamic characteristics of hygro-magneto-thermo-electrical nanobeam with non-ideal boundary conditions, Advances in Nano Research 8(2): 169-182.
22
[23] Ebrahimi F.S., Hosseini H., Selvamani R., 2020, Thermo-electro-elastic nonlinear stability analysis of viscoelastic double-piezo nanoplates under magnetic field, Structural Engineering and Mechanics 73(5): 565-584.
23
[24] Mahaveer sree jayan M., Selvamani R., 2020, Chirality and small scale effects on embedded thermo elastic carbon nanotube conveying fluid, Journal of Physics Conference Series 1597: 012011.
24
[25] Mahaveer sree jayan M., Kumar R., Selvamani R., Rexy J., 2020, Nonlocal dispersion analyisis of a fluid conveying thermo elastic armchair single walled carbon nanotube under moving harmonic excitation, Journal of Solid Mechanics 12(1): 189-203.
25
[26] Rexy J., Selvamani R., Anitha L., 2020, Thermo piezoelectric sound waves in a nanofiber using Timoshenko beam theory incorporated with surface effect, Journal of Physics: Conference Series 1597: 012012.
26
[27] Selvamani R., Rexy J., Kumar R., 2020, Sound Wave Propagation in a multiferroic thermo elastic Nano Fiber under the influence of surface effect and parametric excitation, Journal of Solid Mechanics 12(2): 493-504.
27
[28] Calin I., Ochsner A., Vlase S., Marin M., 2019, Improved rigidity of composite circular plates through radial ribs, Proceedings of the Institution of Mechanical Engineers Part L - Journal of Materials-Design and Applications 233(8): 1585-1593.
28
[29] Vlase S., Marin M., Ochsner A., Scutaru M.L., 2019, Motion equation for a flexible one-dimensional element used in the dynamical analysis of a multibody system, Continuum Mechanics and Thermodynamics 31(3): 715-724.
29
[30] Bhatti M., Marin M., Zeeshan A., Ellahi R., Sara A., 2020, Swimming of motile gyrotactic microorganisms and nanoparticles in blood flow through anisotropically tapered arteries, Frontiers in Physics 8: 1-12.
30
ORIGINAL_ARTICLE
Vibrations of Inhomogeneous Viscothermoelastic Nonlocal Hollow Sphere under the effect of Three-Phase-Lag Model
Herein, the free vibrations of inhomogeneous nonlocal viscothermoelastic sphere with three-phase-lag model of generalized thermoelasticity have been addressed. The governing equations and constitutive relations with three-phase-lag model have been solved by using non-dimensional quantities. The simple power law has been presumed to take the material in radial direction. The series solution has been established to derive the solution analytically. The relations of frequency equations for the continuation of viable modes are developed in dense form. The analytical results have been authenticated by the reduction of nonlocal and three–phase–lag parameters. To investigate the quality of vibrations, frequency equations are determined by applying the numerical iteration method. MATLAB software tools have been used for numerical computations and simulations to present the results graphically subject to natural frequencies, frequency shift, and thermoelastic damping. The numerical results clearly show that the variation of vibrations is slightly larger in case of nonlocal elastic sphere in contrast to elastic sphere.
http://jsm.iau-arak.ac.ir/article_681012_5188e0027b2c57f13c0538449a1e67ef.pdf
2021-03-30
95
113
10.22034/jsm.2020.1906422.1632
Functionally graded material
Nonlocal elasticity
Three-phase-lag model
vibrations
Frequency shift, Dual–phase–lag model
S.R
Sharma
1
Chitkara University School of Engineering and Technology, Chitkara University, Himachal Pradesh, 174103, India
AUTHOR
M.K
Sharma
2
Department of Mathematics, Maharaja Agrasen University, Baddi Solan, 174103, India
AUTHOR
D.K
Sharma
dksharma200513@gmail.com
3
Department of Mathematics, Maharaja Agrasen University, Baddi Solan, 174103, India
LEAD_AUTHOR
[1] Nowacki W., 1975, Dynamic Problems of Thermoelasticity, Noordhof, Leyden, The Netherlands.
1
[2] Lord H.W., Shulman Y., 1967, Generalized dynamical theory of thermoelasticity, Journal of the Mechanics and Physics of Solids 15: 299-309.
2
[3] Green A.E., Lindsay K.A., 1972, Thermoelasticity, Journal of Elasticity 2: 1-7.
3
[4] Green A.E., Naghdi P.M., 1993, On thermoelasticity without Energy Dissipation, Journal of Elasticity 31: 189-208.
4
[5] Chandrasekharaiah D.S., 1998, Hyperbolic thermoelasticity: A review of recent literature, Applied Mechanics Reviews 51: 705-729.
5
[6] Tzou D.Y., 1995, A unified field approach for heat conduction from macro to micro-scales, ASME Journal of Heat Transfer 117: 8-16.
6
[7] Choudhuri S.R., 2007, On a thermoelastic three-phase-lag model, Journal of Thermal Stresses 30: 231-238.
7
[8] Biswas S., Mukhopadhyay B., 2018, Rayleigh surface wave propagation in transversely isotropic medium with three-phase-lag model, Journal of Solid Mechanics 10(1): 175-185.
8
[9] Quintanilla R., 2009, A well-posed problem for the three-dual-phase-lag heat conduction, The Journal of Thermal Stresses 32: 1270-1278.
9
[10] Sharma D.K., Bachher M., Sarkar N., 2020, Effect of phase-lags on the transient waves in an axisymmetric functionally graded viscothermoelastic spherical cavity in radial direction, International Journal of Dynamics and Control DOI: 10.1007/s40435-020-00659-2.
10
[11] Eringen A.C., 2002, Nonlocal Continuum Field Theories, Springer Verlag, New York.
11
[12] Ghadiri M., Shafiei, N., Hossein Alavi S., 2017, Vibration analysis of a rotating nanoplate using nonlocal elasticity theory, Journal of Solid Mechanics 9(2): 319-337.
12
[13] Li C., Tian X., He T., 2020, Nonlocal thermo-viscoelasticity and its application in size-dependent responses of bi-layered composite viscoelastic nano-plate under non uniform temperature for vibration control, Mechanics of Advanced Materials and Structures Doi:10.1080/15376494.2019.1709674.
13
[14] Zarei M., Ghalami-Choobar M., Rahimi, G.H., Faghani, G.R., 2018, Free vibration analysis of non-uniform circular nanoplate, Journal of Solid Mechanics 10(2): 400-415.
14
[15] Najafizadeh M.M., Raki M., Yousefi P., 2018, Vibration analysis of FG nanoplate based on third-order shear deformation theory (TSDT) and nonlocal elasticity, Journal of Solid Mechanics 10(3): 464-475.
15
[16] Bachher M., Sarkar N., 2019, Nonlocal theory of thermoelastic materials with voids and fractional derivative heat transfer, Waves in Random and Complex Media 29: 595-613.
16
[17] Mondal S., Sarkar N., Sarkar N., 2019, Waves in dual-phase-lag thermoelastic materials with voids based on Eringen’s nonlocal elasticity, The Journal of Thermal Stresses 42: 1035-1050.
17
[18] Asbaghian Namin S.F., Pilafkan R., 2018, Influences of small-scale effect and boundary conditions on the free vibration of nano-plates: A molecular dynamics simulation, Journal of Solid Mechanics 10(3): 489-501.
18
[19] Sarkar N., De S., Sarkar N., 2019, Waves in nonlocal thermoelastic solids of type II, The Journal of Thermal Stresses 42: 1153-1170.
19
[20] Othman M.I.A., Ezzat M.A., Zaki S.A., El-Karamany A.S., 2002, Generalized thermo-viscoelastic plane waves with two relaxation times, International Journal of Engineering Science 40: 1329-1347.
20
[21] Othman M.I.A., Hasona W.M., Mansour N.T., 2015, The effect of Magnetic field on generalized thermoelastic medium with two temperature under three–phase–lag Model, Multidiscipline Modeling in Materials and Structures 11(4): 544-557.
21
[22] Soltani P., Bahramian R., Saberian, J., 2015, Nonlinear vibration analysis of the fluid-filled single walled carbon nanotube with the shell model based on the nonlocal elacticity theory, Journal of Solid Mechanics 7(1):58-70.
22
[23] Marin M., Craciun E-M., Pop N., 2016, Consideration on mixed initial-boundary value problems for micropolar porous bodies, Dynamic System and Applications 25: 175-196.
23
[24] Lamb H., 1881, On the vibrations of an elastic sphere, Proceedings of the London Mathematical Society 13: 189-212.
24
[25] Sato Y., Usami T., 1962, Basic study on the oscillation of homogeneous elastic sphere; Part I, Frequency of the free oscillations, Geophysics Magazine 31: 15-24.
25
[26] Sato Y., Usami T., 1962, Basic study on the oscillation of a homogeneous elastic sphere; Part II, Distribution of displacement, Geophysics Magazine 31: 25-47.
26
[27] Hsu M.H., 2007, Vibration Analysis of Annular Plates, Tamkang Journal of Science and Engineering 10(3): 193-199.
27
[28] Keles I., Tutuncu N., 2011, Exact analysis of axisymmetric dynamic response of functionally graded Cylinders (or disks) and Spheres, Journal of Applied Mechanics 78: 061014.
28
[29] Sharma J.N., Sharma D. K., Dhaliwal S.S., 2012, Three-dimensional free vibration analysis of a viscothermoelastic hollow sphere, Open Journal of Acoustics 2: 12-24.
29
[30] Sharma J.N., Sharma D. K., Dhaliwal S.S., 2013, Free vibration analysis of a rigidly fixed viscothermoelastic hollow sphere, Indian Journal of Pure and Applied Mathematics 44: 559-586.
30
[31] Sharma D.K., Sharma J.N., Dhaliwal S.S., Walia V., 2014, Vibration analysis of axisymmetric functionally graded viscothermoelastic spheres, Acta Mechanica Sinica 30: 100-111.
31
[32] Nejad M.Z., Rastgoo A., Hadi A., 2014, Effect of exponentially-varying properties on displacements and stresses in pressurized functionally graded thick spherical shells with using iterative technique, Journal of Solid Mechanics 6(4):366-377.
32
[33] Sharma D.K., 2016, Free vibrations of homogenous isotropic viscothermoelastic spherical curved plates, Journal of Applied Science and Engineering 19(2): 135-148.
33
[34] Biswas S., Mukhopadhyay B., 2019, Three-dimensional vibration analysis in transversely isotropic cylinder with matrix frobenius method, The Journal of Thermal Stresses 42(10):1207-1228.
34
[35] Biswas S., 2019, Eigenvalue approach to a magneto-thermoelastic problem in transversely isotropic hollow cylinder: comparison of three theories, Waves in Random and Complex Media Doi:10.1080/17455030.2019.1588484.
35
[36] Sharma D. K., Sharma S. R., Walia V., 2018, Analysis of axisymmetric functionally graded forced vibrations due to heat sources in viscothermoelastic hollow sphere using series solution, AIP Conference Proceedings 1975: 030010.
36
[37] Sharma D.K., Mittal H., Sharma S.R., 2019, Forced vibration analysis in axisymmetric functionally graded viscothermoelastic hollow cylinder under dynamic pressure, Proceedings of the National Academy of Sciences, India Section A: Physical Sciences.
37
[38] Manthena V.R., Lamba N.K., Kedar G.D., 2018, Mathematical modeling of thermoelastic state of a thick hollow cylinder with nonhomogeneous material properties, Journal of Solid Mechanics 10(1): 142-156.
38
[39] Manthena V.R., Lamba N.K., Kedar G.D., 2018, Estimation of thermoelastic state of a thermally sensitive functionally graded thick hollow cylinder: A mathematical model, Journal of Solid Mechanics 10(4): 766-778.
39
[40] Sharma D.K., Mittal H., 2019, Analysis of free vibrations of axisymmetric functionally graded generalized viscothermoelastic cylinder using series solution, Journal of Vibration Engineering & Technologies DOI: 10.1007/s42417-019-00178-1.
40
[41] Riaz A., Ellahi, R., Bhatti M.M., Marin M., 2019, Study of heat and mass transfer in the Eyring–Powell model of fluid propagating peristaltically through a rectangular compliant channel, Heat Transfer Research 50(16): 1539-1560.
41
[42] Bhatti M.M., Ellahi R., Zeeshan A., Marin M., Ijaz N., 2019, Numerical study of heat transfer and Hall current impact on peristaltic propulsion of particle-fluid suspension with compliant wall properties, Modern Physics Letters B 33(35): 1950439.
42
[43] Sharma D.K., Thakur P.C., Sarkar N., Bachher, M., 2020, Vibrations of a nonlocal thermoelastic cylinder with void, Acta Mechanica 231: 2931-2945.
43
[44] Sharma D.K., Thakur D., Walia V., Sarkar N., 2020, Free vibration analysis of a nonlocal thermoelastic hollow cylinder with diffusion, The Journal of Thermal Stresses 43(8): 981-997.
44
[45] Biswas S., 2020, Fundamental solution of steady oscillations equations in nonlocal thermoelastic medium with voids, The Journal of Thermal Stresses 43(3): 284-304.
45
[46] Pramanik A.S., Biswas S., 2020, Surface waves in nonlocal thermoelastic medium with state space approach, The Journal of Thermal Stresses 43(6): 667-686.
46
[47] Noda N., Jin Z. H., 1993, Thermal stress intensity factor for a crack in a strip of functionally graded material, International Journal of Solids and Structures 30: 1039-1056.
47
[48] Tomantschger K.W. 2002, Series solutions of coupled differential equations with one regular singular point, Journal of Computational and Applied Mathematics 140: 773-783.
48
[49] Cullen C.G., 1972, Matrices and Linear Transformation, Addison–Wesley Pub., Reading Massachusetts.
49
[50] Neuringer J.L., 1978, The Fröbenius method for complex roots of the indicial equation, International Journal of Mathematical Education in Science and Technology 9: 71-77.
50