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Volumn 194, Issue 18-20, 2005, Pages 1913-1946

Continuum shape sensitivity analysis of a mixed-mode fracture in functionally graded materials

Author keywords

Crack; Functionally graded materials; Interaction integral; Linear elastic fracture mechanics; M integral; Material derivative; Shape sensitivity analysis

Indexed keywords

BOUNDARY ELEMENT METHOD; COMPUTATIONAL GEOMETRY; CRACKS; FINITE DIFFERENCE METHOD; FINITE ELEMENT METHOD; FRACTURE; FUNCTIONALLY GRADED MATERIALS; PERTURBATION TECHNIQUES; SENSITIVITY ANALYSIS; STRESS INTENSITY FACTORS;

EID: 14944385068     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cma.2004.06.027     Document Type: Article
Times cited : (14)

References (31)
  • 2
    • 0029215663 scopus 로고
    • Fracture mechanics of functionally graded materials
    • F. Erdogan Fracture mechanics of functionally graded materials Comp. Engrg. 5 7 1995 753-770
    • (1995) Comp. Engrg. , vol.5 , Issue.7 , pp. 753-770
    • Erdogan, F.1
  • 3
    • 0344044765 scopus 로고    scopus 로고
    • Fracture of functionally graded materials
    • G.H. Paulino Fracture of functionally graded materials Engrg. Fract. Mech. 69 14-16 2002 1519-1520
    • (2002) Engrg. Fract. Mech. , vol.69 , Issue.14-16 , pp. 1519-1520
    • Paulino, G.H.1
  • 4
    • 0037217189 scopus 로고    scopus 로고
    • Meshfree analysis of cracks in isotropic functionally graded materials
    • B.N. Rao S. Rahman Meshfree analysis of cracks in isotropic functionally graded materials Engrg. Fract. Mech. 70 2003 1-27
    • (2003) Engrg. Fract. Mech. , vol.70 , pp. 1-27
    • Rao, B.N.1    Rahman, S.2
  • 5
    • 0242636478 scopus 로고    scopus 로고
    • An interaction integral method for analysis of cracks in orthotropic functionally graded materials
    • B.N. Rao S. Rahman An interaction integral method for analysis of cracks in orthotropic functionally graded materials Comput. Mech. 32 2003 40-51
    • (2003) Comput. Mech. , vol.32 , pp. 40-51
    • Rao, B.N.1    Rahman, S.2
  • 7
    • 0025482069 scopus 로고
    • Mixed-mode fracture initiation and trajectory prediction under random stresses
    • M. Grigoriu M.T.A. Saif S. El-Borgi A. Ingraffea Mixed-mode fracture initiation and trajectory prediction under random stresses Int. J. Fract. 45 1990 19-34
    • (1990) Int. J. Fract. , vol.45 , pp. 19-34
    • Grigoriu, M.1    Saif, M.T.A.2    El-Borgi, S.3    Ingraffea, A.4
  • 10
  • 11
    • 0029373485 scopus 로고
    • A stochastic model for elastic-plastic fracture analysis of circumferential through-wall-cracked pipes subject to bending
    • S. Rahman A stochastic model for elastic-plastic fracture analysis of circumferential through-wall-cracked pipes subject to bending Engrg. Fract. Mech. 52 2 1995 265-288
    • (1995) Engrg. Fract. Mech. , vol.52 , Issue.2 , pp. 265-288
    • Rahman, S.1
  • 12
    • 0035933427 scopus 로고    scopus 로고
    • Probabilistic fracture mechanics for nonlinear structures
    • S. Rahman J.-S. Kim Probabilistic fracture mechanics for nonlinear structures Int. J. Pressure Vessels Piping 78 4 2000 9-17
    • (2000) Int. J. Pressure Vessels Piping , vol.78 , Issue.4 , pp. 9-17
    • Rahman, S.1    Kim, J.-S.2
  • 13
    • 0035202932 scopus 로고    scopus 로고
    • Probabilistic fracture mechanics by J-estimation and finite element methods
    • S. Rahman Probabilistic fracture mechanics by J-estimation and finite element methods Engrg. Fract. Mech. 68 2001 107-125
    • (2001) Engrg. Fract. Mech. , vol.68 , pp. 107-125
    • Rahman, S.1
  • 14
    • 0024107865 scopus 로고
    • Variational approach for a new direct-integration form of the virtual crack extension method
    • S.C. Lin J. Abel Variational approach for a new direct-integration form of the virtual crack extension method Int. J. Fract. 38 1988 217-235
    • (1988) Int. J. Fract. , vol.38 , pp. 217-235
    • Lin, S.C.1    Abel, J.2
  • 15
    • 0020155217 scopus 로고
    • On the energy release rate and the J-integral for 3-D crack configurations
    • H.G. deLorenzi On the energy release rate and the J-integral for 3-D crack configurations Int. J. Fract. 19 1982 183-193
    • (1982) Int. J. Fract. , vol.19 , pp. 183-193
    • deLorenzi, H.G.1
  • 16
    • 0021863432 scopus 로고
    • Energy release rate calculations by the finite element method
    • H.G. deLorenzi Energy release rate calculations by the finite element method Engrg. Fract. Mech. 21 1985 129-143
    • (1985) Engrg. Fract. Mech. , vol.21 , pp. 129-143
    • deLorenzi, H.G.1
  • 17
    • 0022010714 scopus 로고
    • Explicit expressions for energy release rates using virtual crack extensions
    • R.B. Haber H.M. Koh Explicit expressions for energy release rates using virtual crack extensions Int. J. Numer. Methods Engrg. 21 1985 301-315
    • (1985) Int. J. Numer. Methods Engrg. , vol.21 , pp. 301-315
    • Haber, R.B.1    Koh, H.M.2
  • 18
    • 0025503416 scopus 로고
    • The Jacobian derivative method for three-dimensional fracture mechanics
    • E.J. Barbero J.N. Reddy The Jacobian derivative method for three-dimensional fracture mechanics Commun. Appl. Numer. Methods 6 1990 507-518
    • (1990) Commun. Appl. Numer. Methods , vol.6 , pp. 507-518
    • Barbero, E.J.1    Reddy, J.N.2
  • 19
    • 0032010466 scopus 로고    scopus 로고
    • On the virtual crack extension method for calculation of the rates of energy release rate
    • C.G. Hwang P.A. Wawrzynek A.K. Tayebi A.R. Ingraffea On the virtual crack extension method for calculation of the rates of energy release rate Engrg. Fract. Mech. 59 1998 521-542
    • (1998) Engrg. Fract. Mech. , vol.59 , pp. 521-542
    • Hwang, C.G.1    Wawrzynek, P.A.2    Tayebi, A.K.3    Ingraffea, A.R.4
  • 20
    • 0036862159 scopus 로고    scopus 로고
    • Shape sensitivity analysis of linear-elastic cracked structures
    • G. Chen S. Rahman Y.H. Park Shape sensitivity analysis of linear-elastic cracked structures ASME J. Pressure Vessel Technol. 124 4 2002 476-482
    • (2002) ASME J. Pressure Vessel Technol. , vol.124 , Issue.4 , pp. 476-482
    • Chen, G.1    Rahman, S.2    Park, Y.H.3
  • 21
    • 0035704078 scopus 로고    scopus 로고
    • Shape sensitivity and reliability analyses of linear-elastic cracked structures
    • G. Chen S. Rahman Y.H. Park Shape sensitivity and reliability analyses of linear-elastic cracked structures Int. J. Fract. 112 3 2001 223-246
    • (2001) Int. J. Fract. , vol.112 , Issue.3 , pp. 223-246
    • Chen, G.1    Rahman, S.2    Park, Y.H.3
  • 22
    • 0035324335 scopus 로고    scopus 로고
    • Shape sensitivity analysis in mixed-mode fracture mechanics
    • G. Chen S. Rahman Y.H. Park Shape sensitivity analysis in mixed-mode fracture mechanics Comput. Mech. 27 4 2001 282-291
    • (2001) Comput. Mech. , vol.27 , Issue.4 , pp. 282-291
    • Chen, G.1    Rahman, S.2    Park, Y.H.3
  • 23
    • 7644236087 scopus 로고    scopus 로고
    • Continuum shape sensitivity analysis of mode-I fracture in functionally graded materials
    • Cleveland, OH, July 20-24
    • B.N. Rao, S. Rahman, Continuum shape sensitivity analysis of mode-I fracture in functionally graded materials, in: Proceedings of 2003 ASME Pressure Vessels and Piping Conference, Cleveland, OH, July 20-24, 2003
    • (2003) Proceedings of 2003 ASME Pressure Vessels and Piping Conference
    • Rao, B.N.1    Rahman, S.2
  • 24
    • 0020903259 scopus 로고
    • Shape design sensitivity analysis of elastic structures
    • K.K. Choi E.J. Haug Shape design sensitivity analysis of elastic structures J. Struct. Mech. 11 2 1983 231-269
    • (1983) J. Struct. Mech. , vol.11 , Issue.2 , pp. 231-269
    • Choi, K.K.1    Haug, E.J.2
  • 26
    • 0348246010 scopus 로고
    • On the design velocity field in the domain and boundary methods for shape optimization
    • J.H. Hou J.S. Sheen On the design velocity field in the domain and boundary methods for shape optimization AIAA J. 88-2338 1988 1032-1040
    • (1988) AIAA J. , vol.88 , Issue.2338 , pp. 1032-1040
    • Hou, J.H.1    Sheen, J.S.2
  • 27
    • 0028370195 scopus 로고
    • A study of design velocity field computation for shape optimal design
    • K.K. Choi K.H. Chang A study of design velocity field computation for shape optimal design Finite Elements Anal. Des. 15 1994 317-341
    • (1994) Finite Elements Anal. Des. , vol.15 , pp. 317-341
    • Choi, K.K.1    Chang, K.H.2
  • 28
    • 1842635182 scopus 로고    scopus 로고
    • A numerical methodology to assess the quality of the design velocity field computation methods in shape sensitivity analysis
    • J.J. Rodenas F.J. Fuenmayor J.E. Tarancon A numerical methodology to assess the quality of the design velocity field computation methods in shape sensitivity analysis Int. J. Numer. Methods Engrg. 59 2004 1725-1747
    • (2004) Int. J. Numer. Methods Engrg. , vol.59 , pp. 1725-1747
    • Rodenas, J.J.1    Fuenmayor, F.J.2    Tarancon, J.E.3
  • 29
    • 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
  • 30
    • 0037139403 scopus 로고    scopus 로고
    • Finite element evaluation of mixed mode stress intensity factors in functionally graded materials
    • J.H. Kim G.H. Paulino Finite element evaluation of mixed mode stress intensity factors in functionally graded materials Int. J. Numer. Methods Engrg. 53 8 2002 1903-1935
    • (2002) Int. J. Numer. Methods Engrg. , vol.53 , Issue.8 , pp. 1903-1935
    • Kim, J.H.1    Paulino, G.H.2
  • 31
    • 0028400406 scopus 로고
    • The mixed mode crack problem in a nonhomogeneous elastic medium
    • N. Konda F. Erdogan The mixed mode crack problem in a nonhomogeneous elastic medium Engrg. Fract. Mech. 47 4 1994 533-545
    • (1994) Engrg. Fract. Mech. , vol.47 , Issue.4 , pp. 533-545
    • Konda, N.1    Erdogan, F.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.