메뉴 건너뛰기




Volumn 32, Issue 3-4, 2005, Pages 532-543

An advanced numerical method for computing elastodynamic fracture parameters in functionally graded materials

Author keywords

Dynamic stress intensity factors; Functionally graded materials; Laplace transform technique; Local boundary integral equations; MLS approximation

Indexed keywords

FRACTURE; INTEGRAL EQUATIONS; LAPLACE TRANSFORMS; LEAST SQUARES APPROXIMATIONS; NUMERICAL METHODS; PARAMETER ESTIMATION; STRESS ANALYSIS; VECTORS;

EID: 12444288027     PISSN: 09270256     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.commatsci.2004.09.011     Document Type: Conference Paper
Times cited : (47)

References (46)
  • 4
    • 0028403847 scopus 로고
    • Effect of hydroxyapatite coating on bone growth into porous titanium alloy implants under loaded conditions
    • H. Oonishi, T. Noda, S. Ito, A. Kohda, H. Yamamoto, and E. Tsuji Effect of hydroxyapatite coating on bone growth into porous titanium alloy implants under loaded conditions J. Appl. Biomater. 5 1994 23 27
    • (1994) J. Appl. Biomater. , vol.5 , pp. 23-27
    • Oonishi, H.1    Noda, T.2    Ito, S.3    Kohda, A.4    Yamamoto, H.5    Tsuji, E.6
  • 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
    • 0028400406 scopus 로고
    • The mixed mode crack problem in a nonhomogeneous elastic medium
    • N. Konda, and F. Erdogan The mixed mode crack problem in a nonhomogeneous elastic medium Eng. Fract. Mech. 47 1994 533 545
    • (1994) Eng. Fract. Mech. , vol.47 , pp. 533-545
    • Konda, N.1    Erdogan, F.2
  • 10
    • 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
  • 11
    • 0034228644 scopus 로고    scopus 로고
    • Numerical calculation of stress intensity factors in functionally graded materials
    • G. Anlas, M. Santare, and J. Lambros Numerical calculation of stress intensity factors in functionally graded materials Int. J. Fract. 104 2000 131 143
    • (2000) Int. J. Fract. , vol.104 , pp. 131-143
    • Anlas, G.1    Santare, M.2    Lambros, J.3
  • 12
    • 0033100158 scopus 로고    scopus 로고
    • A simplified method for calculating the crack tip field of functionally graded materials using the domain integral
    • P. Gu, M. Dao, and R.J. Asaro A simplified method for calculating the crack tip field of functionally graded materials using the domain integral J. Appl. Mech. 66 1999 101 108
    • (1999) J. Appl. Mech. , vol.66 , pp. 101-108
    • Gu, P.1    Dao, M.2    Asaro, R.J.3
  • 13
    • 0037198013 scopus 로고    scopus 로고
    • On the computation of mixed-mode stress intensity factors in functionally graded materials
    • J.E. Dolbow, and M. Gosz On the computation of mixed-mode stress intensity factors in functionally graded materials Int. J. Solids Struct. 39 2002 2557 2574
    • (2002) Int. J. Solids Struct. , vol.39 , pp. 2557-2574
    • Dolbow, J.E.1    Gosz, M.2
  • 14
    • 0037139403 scopus 로고    scopus 로고
    • Finite element evaluation of mixed-mode stress intensity factors in functionally graded materials
    • J. Kim, and G. Paulino Finite element evaluation of mixed-mode stress intensity factors in functionally graded materials Int. J. Numer. Methods Eng. 53 2002 1903 1935
    • (2002) Int. J. Numer. Methods Eng. , vol.53 , pp. 1903-1935
    • Kim, J.1    Paulino, G.2
  • 17
    • 0031095811 scopus 로고    scopus 로고
    • Boundary element methods in dynamic analysis part II (1986-1996)
    • D. Beskos Boundary element methods in dynamic analysis part II (1986-1996) Appl. Mech. Rev. 50 1997 149 197
    • (1997) Appl. Mech. Rev. , vol.50 , pp. 149-197
    • Beskos, D.1
  • 18
    • 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. Mater. Sci. 26 2003 167 174
    • (2003) Comput. Mater. Sci. , vol.26 , pp. 167-174
    • Zhang, Ch.1    Savaidis, A.2    Savaidis, G.3    Zhu, H.4
  • 19
    • 0344984203 scopus 로고    scopus 로고
    • Numerical analysis of cracked functionally graded materials
    • Ch. Zhang, J. Sladek, and V. Sladek Numerical analysis of cracked functionally graded materials Key Eng. Mater. 251-252 2003 463 472
    • (2003) Key Eng. Mater. , vol.251-252 , pp. 463-472
    • Zhang, Ch.1    Sladek, J.2    Sladek, V.3
  • 20
    • 0345357830 scopus 로고    scopus 로고
    • Dynamic response of a crack in a functionally graded material under an anti-plane shear impact load
    • J. Sladek, V. Sladek, and Ch. Zhang Dynamic response of a crack in a functionally graded material under an anti-plane shear impact load Key Eng. Mater. 251-252 2003 123 130
    • (2003) Key Eng. Mater. , vol.251-252 , pp. 123-130
    • Sladek, J.1    Sladek, V.2    Zhang, Ch.3
  • 21
    • 49949131315 scopus 로고
    • A direct formulation and numerical solution of the general elastodynamic problem
    • T.A. Cruse, and F.J. Rizzo A direct formulation and numerical solution of the general elastodynamic problem J. Appl. Math. Anal. Appl. 22 1968 244 259
    • (1968) J. Appl. Math. Anal. Appl. , vol.22 , pp. 244-259
    • Cruse, T.A.1    Rizzo, F.J.2
  • 23
    • 0021374171 scopus 로고
    • Transient elastodynamic three-dimensional problems in cracked bodies
    • V. Sladek, and J. Sladek Transient elastodynamic three-dimensional problems in cracked bodies Appl. Math. Modell. 8 1984 2 10
    • (1984) Appl. Math. Modell. , vol.8 , pp. 2-10
    • Sladek, V.1    Sladek, J.2
  • 24
    • 0000718254 scopus 로고
    • A numerical boundary integral method for elastodynamics
    • D.M. Cole, D.D. Kosloff, and J.B. Minster A numerical boundary integral method for elastodynamics Bull. Seismol. Soc. Am. 68 1978 1331 1357
    • (1978) Bull. Seismol. Soc. Am. , vol.68 , pp. 1331-1357
    • Cole, D.M.1    Kosloff, D.D.2    Minster, J.B.3
  • 26
    • 0031169170 scopus 로고    scopus 로고
    • Application of Operational Quadrature Methods in time domain boundary element methods
    • M. Schanz, and H. Antes Application of Operational Quadrature Methods in time domain boundary element methods Meccanica 32 1997 179 186
    • (1997) Meccanica , vol.32 , pp. 179-186
    • Schanz, M.1    Antes, H.2
  • 27
    • 0020766685 scopus 로고
    • A new approach to free vibration analysis using boundary elements
    • D. Nardini, and C.A. Brebbia A new approach to free vibration analysis using boundary elements Appl. Math. Modell. 7 1983 157 162
    • (1983) Appl. Math. Modell. , vol.7 , pp. 157-162
    • Nardini, D.1    Brebbia, C.A.2
  • 28
    • 0028014173 scopus 로고
    • Comparative study of free boundary element approaches to transient dynamic crack problems
    • F. Chirino, R. Gallego, A. Saez, and J. Dominguez Comparative study of free boundary element approaches to transient dynamic crack problems Eng. Anal. Boundary Elem. 13 1994 11 19
    • (1994) Eng. Anal. Boundary Elem. , vol.13 , pp. 11-19
    • Chirino, F.1    Gallego, R.2    Saez, A.3    Dominguez, J.4
  • 30
    • 0342626846 scopus 로고    scopus 로고
    • Galerkin boundary element formulation with dual reciprocity for elastodynamics
    • J.J. Perez-Gavilan, and M.H. Aliabadi Galerkin boundary element formulation with dual reciprocity for elastodynamics Int. J. Numer. Methods Eng. 48 2000 1331 1334
    • (2000) Int. J. Numer. Methods Eng. , vol.48 , pp. 1331-1334
    • Perez-Gavilan, J.J.1    Aliabadi, M.H.2
  • 32
    • 67049113975 scopus 로고    scopus 로고
    • On Green's function for a three-dimensional exponentially-graded elastic solid
    • P.A. Martin, J.D. Richardson, L.J. Gray, and J.R. Berger On Green's function for a three-dimensional exponentially-graded elastic solid Proc. R. Soc. London A 458 2002 1931 1947
    • (2002) Proc. R. Soc. London A , vol.458 , pp. 1931-1947
    • Martin, P.A.1    Richardson, J.D.2    Gray, L.J.3    Berger, J.R.4
  • 33
    • 2542573897 scopus 로고    scopus 로고
    • Green's function for a two-dimensional exponentially-graded elastic medium
    • Y.S. Chan, L.J. Gray, T. Kaplan, and G.H. Paulino Green's function for a two-dimensional exponentially-graded elastic medium Proc. R. Soc. London A 460 2004 1689 1706
    • (2004) Proc. R. Soc. London A , vol.460 , pp. 1689-1706
    • Chan, Y.S.1    Gray, L.J.2    Kaplan, T.3    Paulino, G.H.4
  • 34
    • 0042850511 scopus 로고    scopus 로고
    • A Green's function for variable density elastodynamics under plane strain conditions by Hormander's method
    • G.D. Manolis, and S. Pavlou A Green's function for variable density elastodynamics under plane strain conditions by Hormander's method CMES: Comput. Model. Eng. Sci. 3 2002 399 416
    • (2002) CMES: Comput. Model. Eng. Sci. , vol.3 , pp. 399-416
    • Manolis, G.D.1    Pavlou, S.2
  • 35
    • 0041828275 scopus 로고    scopus 로고
    • Effects of material gradients on transient dynamic mode III SIFs in an FGM
    • Ch. Zhang, J. Sladek, and V. Sladek Effects of material gradients on transient dynamic mode III SIFs in an 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
  • 36
    • 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
  • 37
    • 0032047472 scopus 로고    scopus 로고
    • A local boundary integral equation (LBIE) method in computational mechanics and a meshless discretization approach
    • T.D. 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.D.1    Zhang, J.D.2    Atluri, S.N.3
  • 38
    • 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
  • 39
    • 84976835846 scopus 로고
    • Algorithm 368: Numerical inversion of Laplace transform
    • H. Stehfest Algorithm 368: numerical inversion of Laplace transform Comm. Assoc. Comput. Mach. 13 1970 47 49
    • (1970) Comm. Assoc. Comput. Mach. , vol.13 , pp. 47-49
    • Stehfest, H.1
  • 40
    • 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 Mech. 97 1993 71 90
    • (1993) Acta Mech. , vol.97 , pp. 71-90
    • Sladek, V.1    Sladek, J.2    Markechova, I.3
  • 41
    • 0038741912 scopus 로고    scopus 로고
    • Meshless local boundary integral equation method for 2D elastodynamic problems
    • J. Sladek, V. Sladek, and R. Van Keer Meshless local boundary integral equation method for 2D elastodynamic problems Int. J. Numer. Methods Eng. 57 2003 235 249
    • (2003) Int. J. Numer. Methods Eng. , vol.57 , pp. 235-249
    • Sladek, J.1    Sladek, V.2    Van Keer, R.3
  • 42
    • 0033885238 scopus 로고    scopus 로고
    • The local boundary integral equation (LBIE) and its meshless implementation for linear elasticity
    • S.N. Atluri, J. Sladek, V. Sladek, and T. Zhu The local boundary integral equation (LBIE) and its meshless implementation for linear elasticity Comput. Mech. 25 2000 180 198
    • (2000) Comput. Mech. , vol.25 , pp. 180-198
    • Atluri, S.N.1    Sladek, J.2    Sladek, V.3    Zhu, T.4
  • 44
    • 0001987242 scopus 로고
    • Numerical inversion of the Laplace transform: A survey and comparison of methods
    • B. Davies, and B. Martin Numerical inversion of the Laplace transform: A survey and comparison of methods J. Comput. Phys. 33 1979 1 32
    • (1979) J. Comput. Phys. , vol.33 , pp. 1-32
    • Davies, B.1    Martin, B.2
  • 45
    • 0036466997 scopus 로고    scopus 로고
    • Transient heat conduction in homogeneous and non-homogeneous materials by the Laplace transform Galerkin boundary element method
    • A. Sutradhar, G.H. Paulino, and L.J. Gray Transient heat conduction in homogeneous and non-homogeneous materials by the Laplace transform Galerkin boundary element method Eng. Anal. Boundary Elem. 26 2002 119 132
    • (2002) Eng. Anal. Boundary Elem. , vol.26 , pp. 119-132
    • Sutradhar, A.1    Paulino, G.H.2    Gray, L.J.3
  • 46
    • 0000997048 scopus 로고
    • Impact response of a finite crack in plane extension
    • G.C. Sih, R.S. Ravera, and G.T. Embley Impact response of a finite crack in plane extension Int. J. Solids Struct. 8 1972 977 993
    • (1972) Int. J. Solids Struct. , vol.8 , pp. 977-993
    • Sih, G.C.1    Ravera, R.S.2    Embley, G.T.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.