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Volumn 151, Issue 3-4, 1998, Pages 435-459

Symmetric weak-form integral equation method for three-dimensional fracture analysis

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY ELEMENT METHOD; CRACK INITIATION; DEGREES OF FREEDOM (MECHANICS); FRACTURE MECHANICS; NUMERICAL ANALYSIS; STRESS INTENSITY FACTORS;

EID: 0031699679     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0045-7825(97)00199-0     Document Type: Article
Times cited : (154)

References (35)
  • 4
    • 0030083910 scopus 로고    scopus 로고
    • Hypersingular integrals: How smooth must the density be?
    • P.A. Martin and F.J. Rizzo, Hypersingular integrals: how smooth must the density be? Int. J. Numer. Methods Engrg. 39 (1996) 687-704.
    • (1996) Int. J. Numer. Methods Engrg. , vol.39 , pp. 687-704
    • Martin, P.A.1    Rizzo, F.J.2
  • 5
    • 0001922346 scopus 로고
    • Regularization of the displacement and traction BIE for 3D elastodynamics using indirect methods
    • J.H. Kane, G. Maier, N. Tosaka and S.N. Atluri, eds., Springer, Berlin
    • M. Bonnet and H.D. Bui, Regularization of the displacement and traction BIE for 3D elastodynamics using indirect methods, in: J.H. Kane, G. Maier, N. Tosaka and S.N. Atluri, eds., Advances in Boundary Element Techniques, (Springer, Berlin, 1993).
    • (1993) Advances in Boundary Element Techniques
    • Bonnet, M.1    Bui, H.D.2
  • 6
    • 0027002357 scopus 로고
    • Dual boundary element method for three-dimensional fracture mechanics analysis
    • Y. Mi and M.H. Aliabadi, Dual boundary element method for three-dimensional fracture mechanics analysis, Engrg. Anal. Bound. Elem. 10 (1992) 161-171.
    • (1992) Engrg. Anal. Bound. Elem. , vol.10 , pp. 161-171
    • Mi, Y.1    Aliabadi, M.H.2
  • 7
    • 0030128918 scopus 로고    scopus 로고
    • A single-domain boundary element method for 3-D elastostatic crack analysis using continuous elements
    • A. Young, A single-domain boundary element method for 3-D elastostatic crack analysis using continuous elements, Int. J. Numer. Methods Engrg. 39 (1996) 1265-1293.
    • (1996) Int. J. Numer. Methods Engrg. , vol.39 , pp. 1265-1293
    • Young, A.1
  • 8
    • 0029695533 scopus 로고    scopus 로고
    • Three-dimensional nonplanar fracture model using the surface integral method
    • S.C. Forth and W.D. Keat, Three-dimensional nonplanar fracture model using the surface integral method, Int. J. Frac. 77 (1996) 243-262.
    • (1996) Int. J. Frac. , vol.77 , pp. 243-262
    • Forth, S.C.1    Keat, W.D.2
  • 10
    • 0005228490 scopus 로고
    • Hypersingular boundary integral equations. A new approach to their numerical treatment
    • J. Morino and R. Piva, eds., Springer-Velrag, Berlin
    • M. Guiggiani, G. Krishnasamy, F.J. Rizzo and T.J. Rudolphi, Hypersingular boundary integral equations. A new approach to their numerical treatment, in: J. Morino and R. Piva, eds., Boundary Integral Method, Theory and Applications (Springer-Velrag, Berlin, 1991) 211-220.
    • (1991) Boundary Integral Method, Theory and Applications , pp. 211-220
    • Guiggiani, M.1    Krishnasamy, G.2    Rizzo, F.J.3    Rudolphi, T.J.4
  • 11
    • 0017456388 scopus 로고
    • An integral equation method for solving the problem of a plane crack of arbitrary shape
    • H.D. Bui, An integral equation method for solving the problem of a plane crack of arbitrary shape, J. Mech. Phys. Solids 25 (1977) 29-39.
    • (1977) J. Mech. Phys. Solids , vol.25 , pp. 29-39
    • Bui, H.D.1
  • 12
    • 0017438508 scopus 로고
    • Three-dimensional crack analysis
    • J. Weaver, Three-dimensional crack analysis, Int. J. Solids Struct. 13 (1977) 321-330.
    • (1977) Int. J. Solids Struct. , vol.13 , pp. 321-330
    • Weaver, J.1
  • 13
    • 0020193661 scopus 로고
    • Three-dimensional crack analysis for an anisotropic body
    • V. Sládek and J. Sládek, Three-dimensional crack analysis for an anisotropic body, Appl. Math. Modeling 6 (1982) 374-380.
    • (1982) Appl. Math. Modeling , vol.6 , pp. 374-380
    • Sládek, V.1    Sládek, J.2
  • 15
    • 0026284899 scopus 로고
    • Some identities for fundamental solutions and their applications to weakly-singular boundary element formulations
    • Y. Liu and T.J. Rudophi, Some identities for fundamental solutions and their applications to weakly-singular boundary element formulations, Engrg. Anal. Bound. Elem. 8 (1991) 301-311.
    • (1991) Engrg. Anal. Bound. Elem. , vol.8 , pp. 301-311
    • Liu, Y.1    Rudophi, T.J.2
  • 16
    • 0027591201 scopus 로고
    • Regularization of hypersingular and nearly singular integrals in the potential theory and elasticity
    • V. Sládek and M. Tanaka, Regularization of hypersingular and nearly singular integrals in the potential theory and elasticity, Int. J. Numer. Methods Engrg. 36 (1993) 1609-1628.
    • (1993) Int. J. Numer. Methods Engrg. , vol.36 , pp. 1609-1628
    • Sládek, V.1    Tanaka, M.2
  • 17
    • 0030270728 scopus 로고    scopus 로고
    • Non-singular Somigliana stress identities in elasticity
    • T.A. Cruse and J.D. Richardson, Non-singular Somigliana stress identities in elasticity, Int. J. Numer. Methods Engrg. 39 (1996) 3273-3304.
    • (1996) Int. J. Numer. Methods Engrg. , vol.39 , pp. 3273-3304
    • Cruse, T.A.1    Richardson, J.D.2
  • 18
    • 0028444916 scopus 로고
    • On the non-singular traction-BIE in elasticity
    • Q. Huang and T.A. Cruse, On the non-singular traction-BIE in elasticity, Int. J. Numer. Methods Engrg. 37 (1994) 2041-2072.
    • (1994) Int. J. Numer. Methods Engrg. , vol.37 , pp. 2041-2072
    • Huang, Q.1    Cruse, T.A.2
  • 19
    • 0024050533 scopus 로고
    • Finite element solution of a boundary equation for mode-I embedded three-dimensional fracture
    • H.D. Gu and C.H. Yew, Finite element solution of a boundary equation for mode-I embedded three-dimensional fracture, Int. J. Numer. Methods Engrg. 26 (1988) 1525-1540.
    • (1988) Int. J. Numer. Methods Engrg. , vol.26 , pp. 1525-1540
    • Gu, H.D.1    Yew, C.H.2
  • 20
    • 0029211202 scopus 로고
    • Regularized direct and indirect symmetric variational BIE formulations for three-dimensional elasticity
    • M. Bonnet, Regularized direct and indirect symmetric variational BIE formulations for three-dimensional elasticity, Engrg. Anal. Bound. Elem. 15 (1995) 93-102.
    • (1995) Engrg. Anal. Bound. Elem. , vol.15 , pp. 93-102
    • Bonnet, M.1
  • 21
  • 22
    • 0023346059 scopus 로고
    • A new boundary element method formulation for three-dimensional problems in linear elasticity
    • N. Ghosh and S. Mukherjee, A new boundary element method formulation for three-dimensional problems in linear elasticity, Acta Mech. 67 (1987) 107-119.
    • (1987) Acta Mech. , vol.67 , pp. 107-119
    • Ghosh, N.1    Mukherjee, S.2
  • 23
    • 0041754973 scopus 로고
    • Variational (weak) form of the hypersingular formulation for the Helmholtz exterior boundary-value problems
    • The Texas Institute for Computational Mechanics, The University of Texas at Austin, Austin, Texas 78712
    • L. Demkowicz, A. Karafiat and J.T. Oden, Variational (weak) form of the hypersingular formulation for the Helmholtz exterior boundary-value problems, Ticom Report 91-05 (1991), The Texas Institute for Computational Mechanics, The University of Texas at Austin, Austin, Texas 78712.
    • (1991) Ticom Report 91-05
    • Demkowicz, L.1    Karafiat, A.2    Oden, J.T.3
  • 24
    • 34249758698 scopus 로고
    • A boundary element method for two-dimensional linear elastic fracture analysis
    • C.C. Chang and M.E. Mear, A boundary element method for two-dimensional linear elastic fracture analysis, Int. J. Frac. 74 (1995) 219-251.
    • (1995) Int. J. Frac. , vol.74 , pp. 219-251
    • Chang, C.C.1    Mear, M.E.2
  • 25
    • 0022160123 scopus 로고
    • A new method for evaluating singular integral in stress analysis of solids by the direct boundary element method
    • H.B. Li and G.M. Han, A new method for evaluating singular integral in stress analysis of solids by the direct boundary element method, Int. J. Numer. Methods Engrg. 21 (1985) 2071-2098.
    • (1985) Int. J. Numer. Methods Engrg. , vol.21 , pp. 2071-2098
    • Li, H.B.1    Han, G.M.2
  • 27
    • 85124701057 scopus 로고
    • Stress singularities resulting from various boundary conditions in angular corners of plates in extension
    • M.L. Williams, Stress singularities resulting from various boundary conditions in angular corners of plates in extension, J. Appl. Mech. 19 (1952).
    • (1952) J. Appl. Mech. , vol.19
    • Williams, M.L.1
  • 28
    • 0016892878 scopus 로고
    • On the use of isoparametric finite elements in linear fracture mechanics
    • R. Barsoum, On the use of isoparametric finite elements in linear fracture mechanics, Int. J. Numer. Methods Engrg. 10 (1976) 25-37.
    • (1976) Int. J. Numer. Methods Engrg. , vol.10 , pp. 25-37
    • Barsoum, R.1
  • 29
    • 0018287495 scopus 로고
    • Families of consistent conforming elements with singular derivative fields
    • M. Stern, Families of consistent conforming elements with singular derivative fields, Int. J. Numer. Methods Engrg. 14 (1979) 409-421.
    • (1979) Int. J. Numer. Methods Engrg. , vol.14 , pp. 409-421
    • Stern, M.1
  • 30
    • 0018919548 scopus 로고
    • The quarter-infinite crack in a half space; alternative and additional solutions
    • J.P. Benthem, The quarter-infinite crack in a half space; alternative and additional solutions, Int. J. Solids Struct. 16 (1980) 119-130.
    • (1980) Int. J. Solids Struct. , vol.16 , pp. 119-130
    • Benthem, J.P.1
  • 31
    • 0024129178 scopus 로고
    • Three-dimensional stress field near the crack front of a thin elastic plate
    • T. Nakamura and D.M. Parks, Three-dimensional stress field near the crack front of a thin elastic plate, J. Appl. Mech. 55 (1988) 805-813.
    • (1988) J. Appl. Mech. , vol.55 , pp. 805-813
    • Nakamura, T.1    Parks, D.M.2
  • 33
    • 0020564922 scopus 로고
    • Three-dimensional curved crack in an elastic body
    • V. Sládek and J. Sládek, Three-dimensional curved crack in an elastic body, Int. J. Solids Struct. 5 (1983) 425-436.
    • (1983) Int. J. Solids Struct. , vol.5 , pp. 425-436
    • Sládek, V.1    Sládek, J.2
  • 34
    • 0027702470 scopus 로고
    • A variational boundary integral method for the analysis for 3-D cracks of arbitrary geometry modeled as continuous distributions of dislocation loops
    • G. Xu and M. Ortiz, A variational boundary integral method for the analysis for 3-D cracks of arbitrary geometry modeled as continuous distributions of dislocation loops, Int. J. Numer. Methods Engrg. 36 (1993) 3675-3701.
    • (1993) Int. J. Numer. Methods Engrg. , vol.36 , pp. 3675-3701
    • Xu, G.1    Ortiz, M.2
  • 35
    • 0040784653 scopus 로고
    • Three-dimensional finite-element analysis of finite-thickness fracture specimens
    • I.S. Raju and J.C. Newman, Three-dimensional finite-element analysis of finite-thickness fracture specimens, NASA TN D-8414, 1977.
    • (1977) NASA TN D-8414
    • Raju, I.S.1    Newman, J.C.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.