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Volumn 54, Issue 2, 2009, Pages 223-252

Interface crack problems in anisotropic solids analyzed by the MLPG

Author keywords

Anisotropic materials; Backward finite difference method; Houbolt method; Meshless local Petrov Galerkin method (MLPG); Moving least squares approximation

Indexed keywords

ANISOTROPIC ELASTIC SOLIDS; ANISOTROPIC MATERIAL; ANISOTROPIC MATERIALS; ANISOTROPIC SOLIDS; FINITE-DIFFERENCE SCHEME; HEAT CONDUCTION EQUATIONS; HEAVISIDE STEP FUNCTION; INTERFACE CRACK PROBLEM; LOCAL INTEGRAL EQUATIONS; MESH-LESS METHODS; MESHLESS LOCAL PETROV-GALERKIN METHODS; MOVING LEAST SQUARES; MOVING LEAST SQUARES APPROXIMATION; NODAL POINTS; PETROV-GALERKIN APPROACH; SECOND ORDERS; SPATIAL VARIATIONS; SYSTEM OF ORDINARY DIFFERENTIAL EQUATIONS; TEST FUNCTIONS; TIME STEPPING METHOD; TRANSIENT MECHANICAL;

EID: 77949793594     PISSN: 15261492     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (13)

References (59)
  • 1
    • 0030190369 scopus 로고    scopus 로고
    • Boundary element analysis of orthotropic delamination specimen with interface cracks
    • Ang, H.E.; Torrance, J.E.; Tan, C.L. (1996): Boundary element analysis of orthotropic delamination specimen with interface cracks. Engn. Fracture Mechanics, 54: 601-615.
    • (1996) Engn. Fracture Mechanics , vol.54 , pp. 601-615
    • Ang, H.E.1    Torrance, J.E.2    Tan, C.L.3
  • 2
    • 0017674709 scopus 로고
    • On stress singularities and interfaces in linear elastic fracture mechanics
    • Atkinson, C. (1977): On stress singularities and interfaces in linear elastic fracture mechanics. Int. Journal of Fracture, 13: 807-820.
    • (1977) Int. Journal of Fracture , vol.13 , pp. 807-820
    • Atkinson, C.1
  • 3
    • 15544378509 scopus 로고    scopus 로고
    • (MLPG) for Domain & BIE Discretizations. Tech Science Press
    • Atluri, S.N. (2004): The Meshless Method, (MLPG) for Domain & BIE Discretizations. Tech Science Press.
    • (2004) The Meshless Method
    • Atluri, S.N.1
  • 4
    • 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
  • 5
    • 0033885238 scopus 로고    scopus 로고
    • The local boundary integral equation (LBIE) and its 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. Computational Mechanics, 25: 180-198.
    • (2000) Computational Mechanics , vol.25 , pp. 180-198
    • Atluri, S.N.1    Sladek, J.2    Sladek, V.3    Zhu, T.4
  • 6
    • 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. (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.3
  • 7
    • 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
  • 9
    • 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
  • 10
    • 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
  • 11
    • 0026954279 scopus 로고
    • Determination of stress intensity factors and boundary element analysis for interface cracks in dissimilar anisotropic materials
    • Cho, S.B.; Lee, K.B.; Choy, Y.S.; Yuuki, R. (1992): Determination of stress intensity factors and boundary element analysis for interface cracks in dissimilar anisotropic materials. Engn. Fracture Mechanics, 43: 603-614.
    • (1992) Engn. Fracture Mechanics , vol.43 , pp. 603-614
    • Cho, S.B.1    Lee, K.B.2    Choy, Y.S.3    Yuuki, R.4
  • 13
    • 84998462528 scopus 로고
    • The interfacial crack in a combined tensioncompression and shear field
    • Comninou, M.; Schmeser, D. (1979): The interfacial crack in a combined tensioncompression and shear field. ASME Journal of Applied Mechanics, 46: 345-348.
    • (1979) ASME Journal of Applied Mechanics , vol.46 , pp. 345-348
    • Comninou, M.1    Schmeser, D.2
  • 14
    • 0030383252 scopus 로고    scopus 로고
    • Treatment of material discontinuity in the element free Galerkin method
    • Cordes, L.W.; Moran, B. (1996): Treatment of material discontinuity in the element free Galerkin method. Comput. Meth. Appl. Mech. Engn., 139: 75-89.
    • (1996) Comput. Meth. Appl. Mech. Engn. , vol.139 , pp. 75-89
    • Cordes, L.W.1    Moran, B.2
  • 15
    • 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
  • 17
    • 84985394140 scopus 로고
    • Stress distribution in a nonhomogeneous elastic plane with cracks
    • Erdogan, F. (1963): Stress distribution in a nonhomogeneous elastic plane with cracks. ASME Journal of Applied Mechanics, 30: 232-236.
    • (1963) ASME Journal of Applied Mechanics , vol.30 , pp. 232-236
    • Erdogan, F.1
  • 18
    • 80052903842 scopus 로고
    • Stress distribution in bonded dissimilar materials with cracks
    • Erdogan, F. (1965): Stress distribution in bonded dissimilar materials with cracks. ASME Journal of Applied Mechanics, 32: 403-410.
    • (1965) ASME Journal of Applied Mechanics , vol.32 , pp. 403-410
    • Erdogan, F.1
  • 21
    • 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
  • 22
    • 9144253712 scopus 로고
    • A recurrence matrix solution for the dynamic response of elastic aircraft
    • Houbolt, J.C. (1950): A recurrence matrix solution for the dynamic response of elastic aircraft. Journal of Aeronautical Sciences, 17: 371-376.
    • (1950) Journal of Aeronautical Sciences , vol.17 , pp. 371-376
    • Houbolt, J.C.1
  • 23
    • 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
  • 24
    • 0032048164 scopus 로고    scopus 로고
    • EFG approximation with discontinuitous derivatives
    • Krongauz, Y.; Belytschko, T. (1998): EFG approximation with discontinuitous derivatives. Int. J. Numer. Meth. Engn., 41: 1215-1233.
    • (1998) Int. J. Numer. Meth. Engn. , vol.41 , pp. 1215-1233
    • Krongauz, Y.1    Belytschko, T.2
  • 26
    • 3242696934 scopus 로고    scopus 로고
    • Application of meshless local Petrov-Galerkin (MLPG) to problems with singularities, and material discontinuities, in 3-D elasticity
    • Li, Q.; Shen, S.; Han Z.D.; Atluri, S.N. (2003): Application of meshless local Petrov-Galerkin (MLPG) to problems with singularities, and material discontinuities, in 3-D elasticity. CMES: Computer Modeling in Engineering & Sciences, 4: 571-585.
    • (2003) CMES: Computer Modeling in Engineering & Sciences , vol.4 , pp. 571-585
    • Li, Q.1    Shen, S.2    Han, Z.D.3    Atluri, S.N.4
  • 28
  • 29
    • 33646848904 scopus 로고    scopus 로고
    • The optimal radius of the support of radial weights used in Moving Least Squares approximation
    • Nie, Y.F.; Atluri, S.N.; You, C.W. (2006): The optimal radius of the support of radial weights used in Moving Least Squares approximation. CMES: Computer Modeling in Engineering & Sciences, 12 (2): 137-147.
    • (2006) CMES: Computer Modeling in Engineering & Sciences , vol.12 , Issue.2 , pp. 137-147
    • Nie, Y.F.1    Atluri, S.N.2    You, C.W.3
  • 31
    • 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
  • 32
  • 35
    • 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
  • 36
    • 85008074356 scopus 로고
    • The bending of plates of dissimilar materials with cracks
    • Sih, G.C.; Rice, J.R. (1964): The bending of plates of dissimilar materials with cracks. ASME Journal of Applied Mechanics, 31: 477-482.
    • (1964) ASME Journal of Applied Mechanics , vol.31 , pp. 477-482
    • Sih, G.C.1    Rice, J.R.2
  • 37
    • 0004816492 scopus 로고
    • On the stress singularity at an interface crack
    • Sinclair, G.B. (1980): On the stress singularity at an interface crack. Int. Journal of Fracture, 16: 111-119.
    • (1980) Int. Journal of Fracture , vol.16 , pp. 111-119
    • Sinclair, G.B.1
  • 38
    • 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
  • 39
    • 0033892306 scopus 로고    scopus 로고
    • Local boundary integral equation (LBIE) method for solving problems of elasticity with nonhomogeneous material properties
    • Sladek, J.; Sladek, V.; Atluri, S.N. (2000): Local boundary integral equation (LBIE) method for solving problems of elasticity with nonhomogeneous material properties. Computational Mechanics, 24: 456-462.
    • (2000) Computational Mechanics , vol.24 , pp. 456-462
    • Sladek, J.1    Sladek, V.2    Atluri, S.N.3
  • 40
    • 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 Engineering & Sciences, 2: 423-434.
    • (2001) CMES: Computer Modeling in Engineering & Sciences , vol.2 , pp. 423-434
    • Sladek, J.1    Sladek, V.2    Atluri, S.N.3
  • 41
    • 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
  • 42
    • 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
  • 43
    • 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
  • 45
    • 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. (2005): 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
  • 47
    • 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. (2007): 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
  • 51
    • 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
  • 52
    • 0027090583 scopus 로고
    • Boundary element analysis of interface cracks between dissimilar anisotropic materials
    • Tan, C.L.; Gao, Y.L.; Afagh, F.F. (1992): Boundary element analysis of interface cracks between dissimilar anisotropic materials. Int. J. Solids and Structures, 29: 3201-3220.
    • (1992) Int. J. Solids and Structures , vol.29 , pp. 3201-3220
    • Tan, C.L.1    Gao, Y.L.2    Afagh, F.F.3
  • 53
    • 0024920549 scopus 로고
    • Efficient boundary element analysis of stress intensity factors for interface cracks in dissimilar materials
    • Yuuki, R.; Cho, S.B. (1989): Efficient boundary element analysis of stress intensity factors for interface cracks in dissimilar materials. Engineering Fracture Mechanics, 34: 179-188.
    • (1989) Engineering Fracture Mechanics , vol.34 , pp. 179-188
    • Yuuki, R.1    Cho, S.B.2
  • 55
    • 0001036992 scopus 로고
    • The stresses around a fault or crack in dissimilar media
    • Williams M.L. (1959): The stresses around a fault or crack in dissimilar media. Bull. Seism. Soc. Am., 49: 199-204.
    • (1959) Bull. Seism. Soc. Am. , vol.49 , pp. 199-204
    • Williams, M.L.1
  • 56
    • 36448963805 scopus 로고    scopus 로고
    • Meshless local Petrov-Galerkin collocation method for two-dimensional heat conduction problems
    • Wu, X.H.; Shen, S.P.; Tao, W.Q. (2007): Meshless local Petrov-Galerkin collocation method for two-dimensional heat conduction problems. CMES: Computer Modeling in Engineering & Sciences, 22: 65-76.
    • (2007) CMES: Computer Modeling in Engineering & Sciences , vol.22 , pp. 65-76
    • Wu, X.H.1    Shen, S.P.2    Tao, W.Q.3
  • 57
    • 67749142071 scopus 로고    scopus 로고
    • Transient dynamic analysis of interface cracks in layered anisotropic solids under impact loading
    • Wünsche, M.; Zhang, Ch.; Sladek, J.; Sladek, V.; Hirose, S.; Kuna, M. (2009): Transient dynamic analysis of interface cracks in layered anisotropic solids under impact loading. Int. Journal of Fracture, 157: 131-147.
    • (2009) Int. Journal of Fracture , vol.157 , pp. 131-147
    • Wünsche, M.1    Zhang, Ch.2    Sladek, J.3    Sladek, V.4    Hirose, S.5    Kuna, M.6
  • 58
    • 34347221724 scopus 로고    scopus 로고
    • Transient dynamic crack analysis in anisotropic solids
    • Ivankovic A, Aliabadi MH (eds.). Pergamon Press
    • Zhang, Ch. (2005): Transient dynamic crack analysis in anisotropic solids. In: Ivankovic A, Aliabadi MH (eds.) Crack Dynamics, WIT Press, Southampton, pp. 71-120.
    • (2005) Crack Dynamicsx , pp. 71-120
    • Zhang, Ch.1
  • 59
    • 0032047472 scopus 로고    scopus 로고
    • A local boundary integral equation (LBIE) method in computational mechanics, and a meshless discretization approaches
    • 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.
    • (1998) Computational Mechanics , vol.21 , pp. 223-235
    • Zhu, T.1    Zhang, J.D.2    Atluri, S.N.3


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