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Volumn 47, Issue 1, 2009, Pages 61-95

Two-and three-dimensional transient thermoelastic analysis by the MLPG method

Author keywords

Crack problems; Functionally graded materials; Houbolt finite difference scheme; Moving least squares interpolation; Orthotropic materials; Transient thermoelasticity

Indexed keywords

CRACK PROBLEMS; FINITE-DIFFERENCE SCHEME; HEAT CONDUCTION EQUATIONS; HEAVISIDE STEP FUNCTION; LOCAL INTEGRAL EQUATIONS; MESHLESS LOCAL PETROV-GALERKIN METHOD; MLPG METHOD; MOVING LEAST SQUARES; MOVING LEAST-SQUARES INTERPOLATION; NODAL POINTS; ORTHOTROPIC MATERIAL PROPERTIES; ORTHOTROPIC MATERIALS; SECOND ORDERS; SPATIAL VARIATIONS; SPHERICAL SHAPE; SUB-DOMAINS; SYSTEM OF ORDINARY DIFFERENTIAL EQUATIONS; TEMPERATURE FIELD; TEST FUNCTIONS; THERMOELASTIC ANALYSIS; THREE-DIMENSIONAL PROBLEMS; TIME STEPPING METHOD; UNCOUPLED THERMOELASTICITY;

EID: 76449112811     PISSN: 15261492     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (30)

References (70)
  • 1
    • 0034228644 scopus 로고    scopus 로고
    • Numerical calculation of stress intensity factors in functionally graded materials
    • Anlas, G.; Santare, M.H.; Lambros, J. (2000): Numerical calculation of stress intensity factors in functionally graded materials. Int. J. Fracture, 104: 131-143.
    • (2000) Int. J. Fracture , vol.104 , pp. 131-143
    • Anlas, G.1    Santare, M.H.2    Lambros, J.3
  • 3
    • 0032136132 scopus 로고    scopus 로고
    • A New Meshless Local Petrov-Galerkin (MLPG) Approach in Computational Mechanics
    • Atluri, S.N.; Zhu, T. (1998): A New Meshless Local Petrov-Galerkin (MLPG) Approach in Computational Mechanics. Computational Mechanics, 22: 117-127.
    • (1998) Computational Mechanics , vol.22 , pp. 117-127
    • Atluri, S.N.1    Zhu, T.2
  • 4
    • 0033885238 scopus 로고    scopus 로고
    • Local boundary integral equation (LBIE) and it's meshless implementation for linear elasticity
    • Atluri, S.N.; Sladek, J.; Sladek, V.; Zhu, T. (2000): The local boundary integral equation (LBIE) and its meshless implementation for linear elasticity. Comput. Mech., 25: 180-198. (Pubitemid 30593734)
    • (2000) Computational Mechanics , vol.25 , Issue.2 , pp. 180-198
    • Atluri, S.N.1    Sladek, J.2    Sladek, V.3    Zhu, T.4
  • 5
    • 0242346713 scopus 로고    scopus 로고
    • Meshless local Petrov-Galerkin (MLPG) approaches for solving the weakly-singular traction & displacement boundary integral equations
    • Atluri, S.N.; Han, Z.D.; Shen, S.P. (2003): Meshless local Petrov-Galerkin (MLPG) approaches for solving the weakly-singular traction & displacement boundary integral equations. CMES: Computer Modeling in Engineering & Sciences, 4: 507-516.
    • (2003) CMES: Computer Modeling in Engineering & Sciences , vol.4 , pp. 507-516
    • Atluri, S.N.1    Han, Z.D.2    Shen, S.P.3
  • 6
    • 0042964833 scopus 로고    scopus 로고
    • The meshless local Petrov-Galerkin (MLPG) method: A simple & less costly alternative to the finite element and boundary element methods
    • Atluri, S.N.; Shen, S.P. (2002): The meshless local Petrov-Galerkin (MLPG) method: A simple & less costly alternative to the finite element and boundary element methods. CMES: Computer Modeling in Engineering & Sciences, 3: 11-51.
    • (2002) CMES: Computer Modeling in Engineering & Sciences , vol.3 , pp. 11-51
    • Atluri, S.N.1    Shen, S.P.2
  • 8
    • 10644248308 scopus 로고    scopus 로고
    • Treatment of material discontinuity in two Meshless local Petrov-Galerkin (MLPG) formulations of axisymmetric transient heat conduction
    • Batra, R.C.; Porfiri, M.; Spinello, D. (2004): Treatment of material discontinuity in two Meshless local Petrov-Galerkin (MLPG) formulations of axisymmetric transient heat conduction. Int. J. Num. Meth. Engn., 61: 2461-2479.
    • (2004) Int. J. Num. Meth. Engn. , vol.61 , pp. 2461-2479
    • Batra, R.C.1    Porfiri, M.2    Spinello, D.3
  • 10
    • 0037050711 scopus 로고    scopus 로고
    • Meshless approach to shape optimization of linear thermoelastic solids
    • Bobaru, F.; Mukherjee, S. (2003): Meshless approach to shape optimization of linear thermoelastic solids. Int. J. Num. Meth. Engn., 53: 765-796.
    • (2003) Int. J. Num. Meth. Engn. , vol.53 , pp. 765-796
    • Bobaru, F.1    Mukherjee, S.2
  • 12
    • 0028977306 scopus 로고
    • Boundary element method for dynamic poroelastic and thermoelastic analyses
    • Chen, J.; Dargush, G.F. (1995): Boundary element method for dynamic poroelastic and thermoelastic analyses. Int. J. Solids and Structures, 32: 2257-2278.
    • (1995) Int. J. Solids and Structures , vol.32 , pp. 2257-2278
    • Chen, J.1    Dargush, G.F.2
  • 13
    • 2542573897 scopus 로고    scopus 로고
    • Green's function for a two-dimensional exponentially graded elastic medium
    • Chan, Y.; Gray, L.J.; Kaplan, T.; Paulino, G.H. (2004): Green's function for a two-dimensional exponentially graded elastic medium. Proceedings Royal Society London A, 460: 1689-1706.
    • (2004) Proceedings Royal Society London A , vol.460 , pp. 1689-1706
    • Chan, Y.1    Gray, L.J.2    Kaplan, T.3    Paulino, G.H.4
  • 14
    • 33744998980 scopus 로고    scopus 로고
    • Thermomechanical analysis of functionally graded composites under laser heating by the MLPG method
    • Ching, H.K.; Chen, J.K. (2006): Thermomechanical analysis of functionally graded composites under laser heating by the MLPG method. CMES: Computer Modeling in Engineering & Sciences, 13 (3): 199-217.
    • (2006) CMES: Computer Modeling in Engineering & Sciences , vol.13 , Issue.3 , pp. 199-217
    • Ching, H.K.1    Chen, J.K.2
  • 16
    • 85002373722 scopus 로고
    • A new boundary element method for threedimensional coupled problems of conduction and thermoelasticity
    • Dargush, G.F.; Banerjee, P.K. (1991): A new boundary element method for threedimensional coupled problems of conduction and thermoelasticity. ASME J. Appl. Mech., 58: 28-36.
    • (1991) ASME J. Appl. Mech. , vol.58 , pp. 28-36
    • Dargush, G.F.1    Banerjee, P.K.2
  • 18
    • 0030125732 scopus 로고    scopus 로고
    • Crack problems in FGM layers under thermal stresses
    • Erdogan F., Wu B.H. (1996) Crack problems in FGM layers under thermal stresses. J. Thermal Stresses, 19: 237-265.
    • (1996) J. Thermal Stresses , vol.19 , pp. 237-265
    • Erdogan, F.1    Wu, B.H.2
  • 19
    • 25444495713 scopus 로고
    • Anisotropic elasticity with applications to dislocations
    • Eshelby, J.D; Read, W.T.; Shockley, W. (1953): Anisotropic elasticity with applications to dislocations. Acta Metallurgica, 1: 251-259.
    • (1953) Acta Metallurgica , vol.1 , pp. 251-259
    • Eshelby, J.D.1    Read, W.T.2    Shockley, W.3
  • 22
    • 4344620831 scopus 로고    scopus 로고
    • Meshless local Petrov-Galerkin (MLPG) approaches for solving 3D problems in elasto-statics
    • Han, Z.D.; Atluri, S.N. (2004a): Meshless local Petrov-Galerkin (MLPG) approaches for solving 3D problems in elasto-statics. CMES: Computer Modeling in Engineering & Sciences, 6: 169-188.
    • (2004) CMES: Computer Modeling in Engineering & Sciences , vol.6 , pp. 169-188
    • Han, Z.D.1    Atluri, S.N.2
  • 23
    • 11144289714 scopus 로고    scopus 로고
    • A meshless local Petrov-Galerkin (MLPG) approach for 3-dimensional elasto-dynamics
    • Han, Z.D.; Atluri, S.N. (2004b): A meshless local Petrov-Galerkin (MLPG) approach for 3-dimensional elasto-dynamics. CMC: Computers, Materials & Continua, 1: 129-140.
    • (2004) CMC: Computers, Materials & Continua , vol.1 , pp. 129-140
    • Han, Z.D.1    Atluri, S.N.2
  • 24
    • 0033752559 scopus 로고    scopus 로고
    • BEM analysis of thermal and mechanical shock in a two-dimensional finite domain considering coupled thermoelasticity
    • Hosseini-Tehrani, P.; Eslami, M.R. (2000): BEM analysis of thermal and mechanical shock in a two-dimensional finite domain considering coupled thermoelasticity. Engineering Analysis with Boundary Elements, 24: 249-257.
    • (2000) Engineering Analysis with Boundary Elements , vol.24 , pp. 249-257
    • Hosseini-Tehrani, P.1    Eslami, M.R.2
  • 25
    • 0036815680 scopus 로고    scopus 로고
    • An asymptotic solution of temperature field in a strip of a functionally graded material
    • Jin Z.H. (2002): An asymptotic solution of temperature field in a strip of a functionally graded material. Int. Comm. Heat Mass Transfer, 29: 887-895.
    • (2002) Int. Comm. Heat Mass Transfer , vol.29 , pp. 887-895
    • Jin, Z.H.1
  • 26
    • 0027591833 scopus 로고
    • An internal crack parallel to the boundary of a nonhomogeneous half plane under thermal loading
    • Jin Z.H.; Noda N. (1993): An internal crack parallel to the boundary of a nonhomogeneous half plane under thermal loading. Int. J. Eng. Sci., 31: 793-806.
    • (1993) Int. J. Eng. Sci. , vol.31 , pp. 793-806
    • Jin, Z.H.1    Noda, N.2
  • 27
    • 0030171889 scopus 로고    scopus 로고
    • Stress intensity relaxation at the tip of an edge crack in a functionally graded material subjected to a thermal shock
    • Jin Z.H.; Batra R.C. (1996): Stress intensity relaxation at the tip of an edge crack in a functionally graded material subjected to a thermal shock. J. Thermal Stresses, 19: 317-339
    • (1996) J. Thermal Stresses , vol.19 , pp. 317-339
    • Jin, Z.H.1    Batra, R.C.2
  • 28
    • 0035136151 scopus 로고    scopus 로고
    • Transient thermal stress analysis of an edge crack in a functionally graded material
    • Jin Z.H.; Paulino G.H. (2001): Transient thermal stress analysis of an edge crack in a functionally graded material. Int. J. Fract. 107: 73-98
    • (2001) Int. J. Fract. , vol.107 , pp. 73-98
    • Jin, Z.H.1    Paulino, G.H.2
  • 29
    • 0036660685 scopus 로고    scopus 로고
    • Isoparametric graded finite elements for nonhomogeneous isotropic and orthotropic materials
    • Kim J.H.; Paulino G.H. (2002): Isoparametric graded finite elements for nonhomogeneous isotropic and orthotropic materials. J. Appl. Mech. 69: 502-514.
    • (2002) J. Appl. Mech. , vol.69 , pp. 502-514
    • Kim, J.H.1    Paulino, G.H.2
  • 31
    • 10744227348 scopus 로고    scopus 로고
    • A boundary element method for anisotropic coupled thermoelasticity
    • Kögl, M.; Gaul, L. (2003): A boundary element method for anisotropic coupled thermoelasticity. Arch. Appl. Mech., 73: 377-398.
    • (2003) Arch. Appl. Mech. , vol.73 , pp. 377-398
    • Kögl, M.1    Gaul, L.2
  • 35
    • 0027148462 scopus 로고
    • Thermal stress intensity factors for a crack in a strip of a functionally gradient material
    • Noda N.; Jin Z.H. (1993) Thermal stress intensity factors for a crack in a strip of a functionally gradient material. Int. J. Solids and Struct., 30: 1039-1056.
    • (1993) Int. J. Solids and Struct. , vol.30 , pp. 1039-1056
    • Noda, N.1    Jin, Z.H.2
  • 36
    • 0028098435 scopus 로고
    • A crack in functionally gradient materials under thermal shock
    • Noda N.; Jin Z.H. (1994) A crack in functionally gradient materials under thermal shock. Arch. Appl. Mech., 64: 99-110.
    • (1994) Arch. Appl. Mech. , vol.64 , pp. 99-110
    • Noda, N.1    Jin, Z.H.2
  • 38
    • 0037150392 scopus 로고    scopus 로고
    • Two-and three-dimensional transient thermoelastic analysis by BEM via particular integrals
    • Park, K.H.; Banerjee, P.K. (2002): Two-and three-dimensional transient thermoelastic analysis by BEM via particular integrals. Int. J. Solids and Structures, 39: 2871-2892.
    • (2002) Int. J. Solids and Structures , vol.39 , pp. 2871-2892
    • Park, K.H.1    Banerjee, P.K.2
  • 39
    • 4043179119 scopus 로고    scopus 로고
    • Transient thermoelastic deformations of thick functionally graded plate
    • Qian, L.F.; Batra, R.C. (2004): Transient thermoelastic deformations of thick functionally graded plate. Jour. Thermal Stresses, 27: 705-740.
    • (2004) Jour. Thermal Stresses , vol.27 , pp. 705-740
    • Qian, L.F.1    Batra, R.C.2
  • 40
    • 0001294249 scopus 로고    scopus 로고
    • Use of graded finite elements to model the behavior of nonhomogeneous materials
    • Santare, M.H.; Lambros, J. (2000): Use of graded finite elements to model the behavior of nonhomogeneous materials, Journal of Applied Mechanics, 67: 819-822.
    • (2000) Journal of Applied Mechanics , vol.67 , pp. 819-822
    • Santare, M.H.1    Lambros, J.2
  • 45
    • 0004764659 scopus 로고    scopus 로고
    • Exact boundary integral transformation of the thermoelastic domain integral in BEM for general 2D anisotropic elasticity
    • Shiah, Y.C.; Tan, C.L. (1999): Exact boundary integral transformation of the thermoelastic domain integral in BEM for general 2D anisotropic elasticity. Computational Mechanics, 23: 87-96.
    • (1999) Computational Mechanics , vol.23 , pp. 87-96
    • Shiah, Y.C.1    Tan, C.L.2
  • 46
    • 57849118014 scopus 로고    scopus 로고
    • Evaluation of explicit-form fundamental solutions for displacements and stresses in 3D anisotropic elastic solids
    • Shiah, Y.C.; Tan, C.L.; Lee, V.G. (2008): Evaluation of explicit-form fundamental solutions for displacements and stresses in 3D anisotropic elastic solids. CMES: Computer Modeling in Engineering & Sciences, 34: 205-226.
    • (2008) CMES: Computer Modeling in Engineering & Sciences , vol.34 , pp. 205-226
    • Shiah, Y.C.1    Tan, C.L.2    Lee, V.G.3
  • 48
    • 0020799855 scopus 로고
    • Boundary integral equation method in thermoelasticity. Part I: General analysis
    • Sladek, V.; Sladek, J. (1984): Boundary integral equation method in thermoelasticity. Part I: General analysis. Appl. Math. Modelling, 7: 241-253.
    • (1984) Appl. Math. Modelling , vol.7 , pp. 241-253
    • Sladek, V.1    Sladek, J.2
  • 49
    • 0042350804 scopus 로고    scopus 로고
    • A pure contour formulation for meshless local boundary integral equation method in thermoelasticity
    • Sladek, J.; Sladek, V.; Atluri, S.N. (2001): A pure contour formulation for meshless local boundary integral equation method in thermoelasticity. CMES: Computer Modeling in Engn. & Sciences, 2: 423-434.
    • (2001) CMES: Computer Modeling in Engn. & Sciences , vol.2 , pp. 423-434
    • Sladek, J.1    Sladek, V.2    Atluri, S.N.3
  • 50
    • 0142217203 scopus 로고    scopus 로고
    • Transient heat conduction analysis in functionally graded materials by the meshless local boundary integral equation method
    • Sladek, J.; Sladek, V.; Zhang, Ch. (2003a): Transient heat conduction analysis in functionally graded materials by the meshless local boundary integral equation method. Computational Mechanics of Materials, 28: 494-504.
    • (2003) Computational Mechanics of Materials , vol.28 , pp. 494-504
    • Sladek, J.1    Sladek, V.2    Zhang, Ch.3
  • 51
    • 1242343855 scopus 로고    scopus 로고
    • Local BIEM for transient heat conduction analysis in 3-D axisymmetric functionally graded solids
    • Sladek, J.; Sladek, V.; Krivacek, J.; Zhang, Ch. (2003b): Local BIEM for transient heat conduction analysis in 3-D axisymmetric functionally graded solids. Computational Mechanics, 32: 169-176.
    • (2003) Computational Mechanics , vol.32 , pp. 169-176
    • Sladek, J.1    Sladek, V.2    Krivacek, J.3    Zhang, Ch.4
  • 52
    • 8344270336 scopus 로고    scopus 로고
    • Meshless local Petrov-Galerkin method for heat conduction problem in an anisotropic medium
    • Sladek, J.; Sladek, V.; Atluri, S.N. (2004a): Meshless local Petrov-Galerkin method for heat conduction problem in an anisotropic medium. CMES: Computer Modeling in Engineering & Sciences, 6: 309-318.
    • (2004) CMES: Computer Modeling in Engineering & Sciences , vol.6 , pp. 309-318
    • Sladek, J.1    Sladek, V.2    Atluri, S.N.3
  • 54
    • 27744461613 scopus 로고    scopus 로고
    • Transient heat conduction in anisotropic and functionally graded media by local integral equations
    • Sladek, V.; Sladek, J.; Tanaka, M.; Zhang, Ch. (2005a): Transient heat conduction in anisotropic and functionally graded media by local integral equations. Engineering Analysis with Boundary Elements, 29: 1047-1065.
    • (2005) Engineering Analysis with Boundary Elements , vol.29 , pp. 1047-1065
    • Sladek, V.1    Sladek, J.2    Tanaka, M.3    Zhang, Ch.4
  • 55
  • 57
    • 37849187035 scopus 로고    scopus 로고
    • Heat conduction analysis of 3D axisymmetric and anisotropic FGM bodies by meshless local Petrov-Galerkin method
    • Sladek, J.; Sladek, V.; Hellmich, Ch.; Eberhardsteiner, J. (2007a): Heat conduction analysis of 3D axisymmetric and anisotropic FGM bodies by meshless local Petrov-Galerkin method. Computational Mechanics, 39: 2007, 323-333.
    • (2007) Computational Mechanics , vol.39 , Issue.2007 , pp. 323-333
    • Sladek, J.1    Sladek, V.2    Hellmich, Ch.3    Eberhardsteiner, J.4
  • 62
    • 39749202813 scopus 로고    scopus 로고
    • Computation of stresses in nonhomogeneous elastic solids by local integral equation method: A comparative study
    • Sladek, V.; Sladek, J.; Zhang, Ch. (2008d): Computation of stresses in nonhomogeneous elastic solids by local integral equation method: a comparative study. Computational Mechanics 41: 827-845.
    • (2008) Computational Mechanics , vol.41 , pp. 827-845
    • Sladek, V.1    Sladek, J.2    Zhang, Ch.3
  • 63
    • 54049097960 scopus 로고    scopus 로고
    • Local integral equation formulation for axially symmetric problems involving elastic FGM
    • Sladek, V.; Sladek, J.; Zhang, Ch. (2008e): Local integral equation formulation for axially symmetric problems involving elastic FGM. Engineering Analysis with Boundary Elements 32: 1012-1024.
    • (2008) Engineering Analysis with Boundary Elements , vol.32 , pp. 1012-1024
    • Sladek, V.1    Sladek, J.2    Zhang, Ch.3
  • 65
    • 0343370704 scopus 로고
    • Application of the boundary element method to 3-D linear coupled thermoelasticity problems
    • Suh, I.G.; Tosaka, N. (1989): Application of the boundary element method to 3-D linear coupled thermoelasticity problems. Theor. Appl. Mech., 38: 169-175.
    • (1989) Theor. Appl. Mech. , vol.38 , pp. 169-175
    • Suh, I.G.1    Tosaka, N.2
  • 67
    • 0036466997 scopus 로고    scopus 로고
    • Transient heat conduction in homogeneous and non-homogeneous materials by the Laplace transform Galerkin boundary element method
    • Sutradhar, A.; Paulino, G.H.; Gray, L.J. (2002): Transient heat conduction in homogeneous and non-homogeneous materials by the Laplace transform Galerkin boundary element method. Engn. Analysis with Boundary Elements, 26: 119-132.
    • (2002) Engn. Analysis with Boundary Elements , vol.26 , pp. 119-132
    • Sutradhar, A.1    Paulino, G.H.2    Gray, L.J.3
  • 69
    • 33646546068 scopus 로고    scopus 로고
    • A meshless model for transient heat conduction in functionally graded materials
    • Wang, H.; Qin, Q.H.; Kang, Y.L. (2006): A meshless model for transient heat conduction in functionally graded materials. Computational Mechanics, 38: 51-60.
    • (2006) Computational Mechanics , vol.38 , pp. 51-60
    • Wang, H.1    Qin, Q.H.2    Kang, Y.L.3
  • 70
    • 0032047472 scopus 로고    scopus 로고
    • A local boundary integral equation (LBIE) method in computational mechanics, and ameshless discretization approach
    • Zhu, T.; Zhang, J.D.; Atluri, S.N. (1998): A local boundary integral equation (LBIE) method in computational mechanics, and a meshless discretization approaches. Computational Mechanics, 21: 223-235. (Pubitemid 128566412)
    • (1998) Computational Mechanics , vol.21 , Issue.3 , pp. 223-235
    • Zhu, T.1    Zhang, J.-D.2    Atluri, S.N.3


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