메뉴 건너뛰기




Volumn 36, Issue 1, 2005, Pages 62-75

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

Author keywords

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

Indexed keywords

CONTINUUM MECHANICS; CRACKS; FINITE DIFFERENCE METHOD; FRACTURE; PROBABILITY; SENSITIVITY ANALYSIS; STRESS INTENSITY FACTORS;

EID: 18744377521     PISSN: 01787675     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00466-004-0642-5     Document Type: Article
Times cited : (10)

References (28)
  • 2
    • 0029215663 scopus 로고
    • Fracture mechanics of functionally graded materials
    • Erdogan F (1995) Fracture mechanics of functionally graded materials. Compo Eng 5(7) 753-770
    • (1995) Compo Eng , vol.5 , Issue.7 , pp. 753-770
    • Erdogan, F.1
  • 3
    • 0033100158 scopus 로고    scopus 로고
    • A simplified method for calculating the crack tip field of functionally graded materials using the domain integral
    • Gu P, Dao M, Asaro RJ (1999) A simplified method for calculating the crack tip field of functionally graded materials using the domain integral. J Appl Mech 66:101-108
    • (1999) J Appl Mech , vol.66 , pp. 101-108
    • Gu, P.1    Dao, M.2    Asaro, R.J.3
  • 4
    • 0037217189 scopus 로고    scopus 로고
    • Meshfree analysis of cracks in isotropic functionally graded materials
    • 1-27
    • Rao BN, Rahman S (2003) Meshfree analysis of cracks in isotropic functionally graded materials Eng Frac Mech (2003) 70:1-27
    • (2003) Eng Frac Mech , vol.2003 , pp. 70
    • Rao, B.N.1    Rahman, S.2
  • 9
    • 0000816802 scopus 로고
    • Brittle fracture reliability by probabilistic finite elements
    • Besterfield GH, Lawrence MA, Belytschko T (1990) Brittle fracture reliability by probabilistic finite elements. ASCE J Eng Mech 116(3):642-659
    • (1990) ASCE J Eng Mech , vol.116 , Issue.3 , pp. 642-659
    • Besterfield, G.H.1    Lawrence, M.A.2    Belytschko, T.3
  • 10
    • 0029373485 scopus 로고
    • A stochastic model for elastic-plastic fracture analysis of circumferential through-wall-cracked pipes subject to bending
    • Rahman S (1995) A stochastic model for elastic-plastic fracture analysis of circumferential through-wall-cracked pipes subject to bending. Eng Fracture Mech 52(2):265-288
    • (1995) Eng Fracture Mech , vol.52 , Issue.2 , pp. 265-288
    • Rahman, S.1
  • 11
    • 0035933427 scopus 로고    scopus 로고
    • Probabilistic fracture mechanics for nonlinear structures
    • Rahman S, Kim J-S (2000) Probabilistic fracture mechanics for nonlinear structures. Int J Pre issue Vessels Piping 78(4):9-17
    • (2000) Int J Pre Issue Vessels Piping , vol.78 , Issue.4 , pp. 9-17
    • Rahman, S.1    Kim, J.-S.2
  • 13
    • 0024107865 scopus 로고
    • Variational approach for a new direct-integration form of the virtual crack extension method
    • Lin SC, Abel J (1988) Variational approach for a new direct-integration form of the virtual crack extension method. Int J Fracture 38:217-235
    • (1988) Int J Fracture , vol.38 , pp. 217-235
    • Lin, S.C.1    Abel, J.2
  • 14
    • 0020155217 scopus 로고
    • On the energy release rate and the J-integral for 3-d crack configurations
    • deLorenzi HG (1982) On the energy release rate and the J-integral for 3-d crack configurations. Int J Fracture 19:183-193
    • (1982) Int J Fracture , vol.19 , pp. 183-193
    • DeLorenzi, H.G.1
  • 15
    • 0021863432 scopus 로고
    • Energy release rate calculations by the finite element method
    • deLorenzi HG (1985) Energy release rate calculations by the finite element method. 21:Eng Fracture Mech 21:129-143
    • (1985) 21:Eng Fracture Mech , vol.21 , pp. 129-143
    • DeLorenzi, H.G.1
  • 16
    • 0022010714 scopus 로고
    • Explicit expressions for energy release rates using virtual crack extensions
    • Haber RB, Koh HM (1985) Explicit expressions for energy release rates using virtual crack extensions. Int J Numer Methods in Eng 21:301-315
    • (1985) Int J Numer Methods in Eng , vol.21 , pp. 301-315
    • Haber, R.B.1    Koh, H.M.2
  • 17
    • 0025503416 scopus 로고
    • The jacobian derivative method for three-dimensional fracture mechanics
    • Barbero EJ, Reddy JN (1990) The jacobian derivative method for three-dimensional fracture mechanics. Commun Appl Numer Methods 6:507-518
    • (1990) Commun Appl Numer Methods , vol.6 , pp. 507-518
    • Barbero, E.J.1    Reddy, J.N.2
  • 18
    • 0032010466 scopus 로고    scopus 로고
    • On the virtual crack extension method for calculation of the rates of energy release rate
    • Hwang CG, Wawrzynek PA, Tayebi AK, Ingraffea AR (1998) On the virtual crack extension method for calculation of the rates of energy release rate. Eng Fracture Mech 59:521-542
    • (1998) Eng Fracture Mech , vol.59 , pp. 521-542
    • Hwang, C.G.1    Wawrzynek, P.A.2    Tayebi, A.K.3    Ingraffea, A.R.4
  • 19
    • 0036862159 scopus 로고    scopus 로고
    • Shape sensitivity analysis of linear-elastic cracked structures
    • Chen G, Rahman S, Park YH (2002) Shape sensitivity analysis of linear-elastic cracked structures. ASME J Pres Vessel Tech 124(4):476-482
    • (2002) ASME J Pres Vessel Tech , vol.124 , Issue.4 , pp. 476-482
    • Chen, G.1    Rahman, S.2    Park, Y.H.3
  • 20
    • 0035704078 scopus 로고    scopus 로고
    • Shape sensitivity and reliability analyses of linear-elastic cracked structures
    • Chen G, Rahman S, Park YH (2001) Shape sensitivity and reliability analyses of linear-elastic cracked structures. Int J Fracture 112(3):223-246
    • (2001) Int J Fracture , vol.112 , Issue.3 , pp. 223-246
    • Chen, G.1    Rahman, S.2    Park, Y.H.3
  • 21
    • 0035324335 scopus 로고    scopus 로고
    • Shape sensitivity analysis in mixed-mode fracture mechanics
    • Chen G, Rahman S. Park YH (2001) Shape sensitivity analysis in mixed-mode fracture mechanics. Compu Mech 27(4):282-291
    • (2001) Compu Mech , vol.27 , Issue.4 , pp. 282-291
    • Chen, G.1    Rahman, S.2    Park, Y.H.3
  • 22
    • 0020903259 scopus 로고
    • Shape design sensitivity analysis of elastic structures
    • Choi KK. Haug EJ (1983) Shape design sensitivity analysis of elastic structures. J Struc Mech 11(2):231-269
    • (1983) J Struc Mech , vol.11 , Issue.2 , pp. 231-269
    • Choi, K.K.1    Haug, E.J.2
  • 24
    • 84980287971 scopus 로고
    • A path independent integral and the approximate analysis of strain concentration by notches and cracks
    • Rice JR (1968) A path independent integral and the approximate analysis of strain concentration by notches and cracks. J Appl Mech 35:379-386
    • (1968) J Appl Mech , vol.35 , pp. 379-386
    • Rice, J.R.1
  • 25
    • 0023513526 scopus 로고
    • Crack tip and associated domain integrals from momentum and energy balance
    • Moran B, Shih F (1987) Crack tip and associated domain integrals from momentum and energy balance. Eng Fracture Mech 27:615-642
    • (1987) Eng Fracture Mech , vol.27 , pp. 615-642
    • Moran, B.1    Shih, F.2
  • 26
    • 0028370195 scopus 로고
    • A study of design velocity field computation for shape optimal design
    • Choi KK, Chang KH (1994) A study of design velocity field computation for shape optimal design. Finite Elem Anal Des 15:317-341
    • (1994) Finite Elem Anal des , vol.15 , pp. 317-341
    • Choi, K.K.1    Chang, K.H.2
  • 27
    • 2142829881 scopus 로고    scopus 로고
    • The surface crack problem for a plate with functionally graded properties
    • Erdogan F, Wu BH (1997) The surface crack problem for a plate with functionally graded properties. J Appl Mech 64:449-456
    • (1997) J Appl Mech , vol.64 , pp. 449-456
    • Erdogan, F.1    Wu, B.H.2
  • 28
    • 0023349326 scopus 로고
    • Fracture of nonhomogeneous materials
    • 1987
    • Eischen JW (1987) Fracture of nonhomogeneous materials. J Fracture 34:3-22, 1987
    • (1987) J Fracture , vol.34 , pp. 3-22
    • Eischen, J.W.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.