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Volumn 29, Issue 4, 2005, Pages 334-342

A meshless local boundary integral equation method for dynamic anti-plane shear crack problem in functionally graded materials

Author keywords

Dynamic stress intensity factors; Elastodynamic crack analysis; Functionally graded materials; Local boundary integral equations; Meshless method; Moving least squares

Indexed keywords

ALGORITHMS; BOUNDARY ELEMENT METHOD; BOUNDARY VALUE PROBLEMS; CRACKS; INTEGRAL EQUATIONS; INTEGRATION; LAPLACE TRANSFORMS; NUMERICAL METHODS; SHEAR DEFORMATION; THERMAL EXPANSION; TIME DOMAIN ANALYSIS;

EID: 18144416944     PISSN: 09557997     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.enganabound.2004.05.005     Document Type: Article
Times cited : (39)

References (35)
  • 2
    • 84998318232 scopus 로고
    • SH surface waves in functionally gradient piezoelectric material plates
    • G.R. Liu, and J. Tani SH surface waves in functionally gradient piezoelectric material plates Trans Jpn Soc Mech Eng 58 1992 504 507
    • (1992) Trans Jpn Soc Mech Eng , vol.58 , pp. 504-507
    • Liu, G.R.1    Tani, J.2
  • 3
    • 0028530585 scopus 로고
    • Surface waves in functionally gradient piezoelectric material plates
    • G.R. Liu, and J. Tani Surface waves in functionally gradient piezoelectric material plates ASME J Vib Acoustics 116 1994 440 448
    • (1994) ASME J Vib Acoustics , vol.116 , pp. 440-448
    • Liu, G.R.1    Tani, J.2
  • 4
    • 0032683892 scopus 로고    scopus 로고
    • Stress waves in functionally gradient materials and its use for material characterization
    • G.R. Liu, X. Han, and K.Y. Lam Stress waves in functionally gradient materials and its use for material characterization Compos Part B 30 1999 383 394
    • (1999) Compos Part B , vol.30 , pp. 383-394
    • Liu, G.R.1    Han, X.2    Lam, K.Y.3
  • 5
    • 0023349326 scopus 로고
    • Fracture of nonhomogeneous materials
    • J.W. Eischen Fracture of nonhomogeneous materials Int J Fract 34 1987 3 22
    • (1987) Int J Fract , vol.34 , pp. 3-22
    • Eischen, J.W.1
  • 6
    • 0037217189 scopus 로고    scopus 로고
    • Mesh-free analysis of cracks in isotropic functionally graded materials
    • B.N. Rao, and S. Rahman Mesh-free analysis of cracks in isotropic functionally graded materials Eng Fract Mech 70 2003 1 27
    • (2003) Eng Fract Mech , vol.70 , pp. 1-27
    • Rao, B.N.1    Rahman, S.2
  • 7
    • 0030737479 scopus 로고    scopus 로고
    • Cracks in functionally graded materials
    • P. Gu, and R.J. Asaro Cracks in functionally graded materials Int J Solids Struct 34 1997 1 17
    • (1997) Int J Solids Struct , vol.34 , pp. 1-17
    • Gu, P.1    Asaro, R.J.2
  • 8
    • 0020816016 scopus 로고
    • The crack problem for a nonhomogeneous plane
    • F. Delale, and F. Erdogan The crack problem for a nonhomogeneous plane J Appl Mech 50 1983 609 614
    • (1983) J Appl Mech , vol.50 , pp. 609-614
    • Delale, F.1    Erdogan, F.2
  • 9
    • 0032128863 scopus 로고    scopus 로고
    • Dynamic response of a crack in a functionally graded material between two dissimilar half planes under antiplane shear impact load
    • R. Babaei, and S.A. Lukasiewicz Dynamic response of a crack in a functionally graded material between two dissimilar half planes under antiplane shear impact load Eng Fract Mech 60 1998 479 487
    • (1998) Eng Fract Mech , vol.60 , pp. 479-487
    • Babaei, R.1    Lukasiewicz, S.A.2
  • 10
    • 0034198132 scopus 로고    scopus 로고
    • Dynamic stress field around the mode III crack tip in an orthotropic functionally graded material
    • C. Li, Z. Zou, and Z. Duan Dynamic stress field around the mode III crack tip in an orthotropic functionally graded material Appl Math Mech 21 2000 651 658
    • (2000) Appl Math Mech , vol.21 , pp. 651-658
    • Li, C.1    Zou, Z.2    Duan, Z.3
  • 11
    • 0034189963 scopus 로고    scopus 로고
    • Dynamic response of bimaterial and graded interface cracks under impact loading
    • P.R. Marur, and H.V. Tippur Dynamic response of bimaterial and graded interface cracks under impact loading Int J Fract 103 2000 95 109
    • (2000) Int J Fract , vol.103 , pp. 95-109
    • Marur, P.R.1    Tippur, H.V.2
  • 12
    • 0032120030 scopus 로고    scopus 로고
    • Dynamic fracture of a functionally graded material having discrete property variation
    • V. Parameswaran, and A. Shukla Dynamic fracture of a functionally graded material having discrete property variation J Mater Sci 33 1998 3303 3311
    • (1998) J Mater Sci , vol.33 , pp. 3303-3311
    • Parameswaran, V.1    Shukla, A.2
  • 13
    • 0035850722 scopus 로고    scopus 로고
    • Influence of elastic gradient profiles on dynamically loaded functionally graded materials
    • C.E. Rousseau, and H.V. Tippur Influence of elastic gradient profiles on dynamically loaded functionally graded materials Int J Solids Struct 38 2001 7839 7856
    • (2001) Int J Solids Struct , vol.38 , pp. 7839-7856
    • Rousseau, C.E.1    Tippur, H.V.2
  • 14
    • 0040843491 scopus 로고    scopus 로고
    • Dynamic fracture mechanics analysis for composite material with material nonhomogeneity in thickness direction
    • B. Wang, J. Han, and S. Du Dynamic fracture mechanics analysis for composite material with material nonhomogeneity in thickness direction Acta Mech Solid Sinica 11 1998 8493
    • (1998) Acta Mech Solid Sinica , vol.11 , pp. 8493
    • Wang, B.1    Han, J.2    Du, S.3
  • 15
    • 0037241277 scopus 로고    scopus 로고
    • Transient dynamic analysis of a cracked functionally graded material by a BIEM
    • Ch. Zhang, A. Savaidis, G. Savaidis, and H. Zhu Transient dynamic analysis of a cracked functionally graded material by a BIEM Comput Mat Sci 26 2003 167 174
    • (2003) Comput Mat Sci , vol.26 , pp. 167-174
    • Zhang, Ch.1    Savaidis, A.2    Savaidis, G.3    Zhu, H.4
  • 16
    • 0041828275 scopus 로고    scopus 로고
    • Effects of material gradients on transient dynamic mode-III stress intensity factors in a FGM
    • Ch. Zhang, J. Sladek, and V. Sladek Effects of material gradients on transient dynamic mode-III stress intensity factors in a FGM Int J Solids Struct 40 2003 5251 5270
    • (2003) Int J Solids Struct , vol.40 , pp. 5251-5270
    • Zhang, Ch.1    Sladek, J.2    Sladek, V.3
  • 17
    • 0016543481 scopus 로고
    • Some results on crack propagation in media with spatially varying elastic moduli
    • C. Atkinson Some results on crack propagation in media with spatially varying elastic moduli Int J Fract 11 1975 619 628
    • (1975) Int J Fract , vol.11 , pp. 619-628
    • Atkinson, C.1
  • 18
    • 0036543867 scopus 로고    scopus 로고
    • Dynamic fracture analysis of a penny-shaped crack in a functionally graded material interlayer
    • C. Li, and G.J. Weng Dynamic fracture analysis of a penny-shaped crack in a functionally graded material interlayer Math Mech Solids 7 2002 149 163
    • (2002) Math Mech Solids , vol.7 , pp. 149-163
    • Li, C.1    Weng, G.J.2
  • 19
    • 0036717770 scopus 로고    scopus 로고
    • On the dynamic propagation of a finite crack in functionally graded materials
    • S.A. Meguid, X.D. Wang, and L.Y. Jiang On the dynamic propagation of a finite crack in functionally graded materials Eng Fract Mech 69 2002 1753
    • (2002) Eng Fract Mech , vol.69 , pp. 1753
    • Meguid, S.A.1    Wang, X.D.2    Jiang, L.Y.3
  • 20
    • 0038263678 scopus 로고    scopus 로고
    • Dynamically propagating crack in graded particle dispersed composites
    • M. Nakagaki, Y.D. Wu, and S. Higihara Dynamically propagating crack in graded particle dispersed composites Fract Strength Solids 145 1998 333 342
    • (1998) Fract Strength Solids , vol.145 , pp. 333-342
    • Nakagaki, M.1    Wu, Y.D.2    Higihara, S.3
  • 21
    • 0032656887 scopus 로고    scopus 로고
    • Crack-tip stress fields for dynamic fracture in functionally graded materials
    • V. Parameswaran, and A. Shukla Crack-tip stress fields for dynamic fracture in functionally graded materials Mech Mater 31 1999 579 596
    • (1999) Mech Mater , vol.31 , pp. 579-596
    • Parameswaran, V.1    Shukla, A.2
  • 22
    • 0028742922 scopus 로고
    • On the dynamic crack propagation in an interface with spatially varying elastic properties
    • X.D. Wang, and S.A. Meguid On the dynamic crack propagation in an interface with spatially varying elastic properties Int J Fract 69 1995 87 99
    • (1995) Int J Fract , vol.69 , pp. 87-99
    • Wang, X.D.1    Meguid, S.A.2
  • 24
    • 0031095811 scopus 로고    scopus 로고
    • Boundary element methods in dynamic analysis II
    • D.E. Beskos Boundary element methods in dynamic analysis II Appl Mech Rev 50 1997 1 23
    • (1997) Appl Mech Rev , vol.50 , pp. 1-23
    • Beskos, D.E.1
  • 26
    • 0004872027 scopus 로고
    • An advanced boundary element method for elasticity problems in nonhomogeneous media
    • V. Sladek, J. Sladek, and I. Markechova An advanced boundary element method for elasticity problems in nonhomogeneous media Acta Mechanica 97 1993 71 90
    • (1993) Acta Mechanica , vol.97 , pp. 71-90
    • Sladek, V.1    Sladek, J.2    Markechova, I.3
  • 27
    • 0033892306 scopus 로고    scopus 로고
    • Local boundary integral equation (LBIE) method for solving problems of elasticity with nonhomogeneous material properties
    • J. Sladek, V. Sladek, and S.N. Atluri Local boundary integral equation (LBIE) method for solving problems of elasticity with nonhomogeneous material properties Comput Mech 24 2000 456 462
    • (2000) Comput Mech , vol.24 , pp. 456-462
    • Sladek, J.1    Sladek, V.2    Atluri, S.N.3
  • 28
    • 0036723062 scopus 로고    scopus 로고
    • Localized boundary-domain integral formulations for problems with variable coefficients
    • S.E. Mikhailov Localized boundary-domain integral formulations for problems with variable coefficients Eng Anal Bound Elem 26 2002 681 690
    • (2002) Eng Anal Bound Elem , vol.26 , pp. 681-690
    • Mikhailov, S.E.1
  • 29
    • 0032047472 scopus 로고    scopus 로고
    • A local boundary integral equation (LBIE) method in computational mechanics and a meshless discretization approach
    • T. Zhu, J.D. Zhang, and S.N. Atluri A local boundary integral equation (LBIE) method in computational mechanics and a meshless discretization approach Comput Mech 21 1998 223 235
    • (1998) Comput Mech , vol.21 , pp. 223-235
    • Zhu, T.1    Zhang, J.D.2    Atluri, S.N.3
  • 31
    • 84976835846 scopus 로고
    • Comun. Algorithm 368: Numerical inversion of Laplace transform
    • H. Stehfest Comun. Algorithm 368: numerical inversion of Laplace transform Assoc Comput Mach 13 1970 47 49
    • (1970) Assoc Comput Mach , vol.13 , pp. 47-49
    • Stehfest, H.1
  • 32
    • 0345123211 scopus 로고
    • The Laplace transform boundary element (LTBIE) method for the solution of diffusion equations
    • C.A. Brebbia G.S. Gipson Computational Mechanics Publications Southampton, Boston
    • G.J. Moridis, and D.L. Reddell The Laplace transform boundary element (LTBIE) method for the solution of diffusion equations C.A. Brebbia G.S. Gipson BEM XIII 1991 Computational Mechanics Publications Southampton, Boston 83 97
    • (1991) BEM XIII , pp. 83-97
    • Moridis, G.J.1    Reddell, D.L.2
  • 33
    • 0027969546 scopus 로고
    • Solving the linear diffusion equations with the dual reciprocity methods in Laplace space
    • S.P. Zhu, P. Satravaha, and X. Lu Solving the linear diffusion equations with the dual reciprocity methods in Laplace space Eng Anal Boundary Elem 13 1994 1 10
    • (1994) Eng Anal Boundary Elem , vol.13 , pp. 1-10
    • Zhu, S.P.1    Satravaha, P.2    Lu, X.3
  • 34
    • 4344591690 scopus 로고    scopus 로고
    • Application of meshless Local Petrov-Galerkin (MLPG) method to elastodynamic problems in continuously nonhomogeneous solids
    • J. Sladek, V. Sladek, and Ch. Zhang Application of meshless Local Petrov-Galerkin (MLPG) method to elastodynamic problems in continuously nonhomogeneous solids CMES: Comput Model Eng Sci 4 2003 637 648
    • (2003) CMES: Comput Model Eng Sci , vol.4 , pp. 637-648
    • Sladek, J.1    Sladek, V.2    Zhang, Ch.3
  • 35
    • 12444288027 scopus 로고    scopus 로고
    • An advanced numerical method for computing elastodynamic fracture parameters in functionally graded materials
    • Sladek J, Sladek V, Zhang Ch. An advanced numerical method for computing elastodynamic fracture parameters in functionally graded materials. Comput Mater Sci, 2005;32:532-543.
    • (2005) Comput Mater Sci , vol.32 , pp. 532-543
    • Sladek, J.1    Sladek, V.2    Zhang, Ch.3


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