메뉴 건너뛰기




Volumn 16, Issue 1, 2006, Pages 77-118

Discontinuous finite element approximation of quasistatic crack growth in nonlinear elasticity

Author keywords

Brittle fracture; Crack propagation; Energy minimization; Finite elements; Free discontinuity problems; Quasistatic evolution; Variational models

Indexed keywords


EID: 32644434148     PISSN: 02182025     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218202506001066     Document Type: Article
Times cited : (14)

References (21)
  • 1
    • 0001400376 scopus 로고
    • A compactness theorem for a new class of functions of bounded variations
    • L. Ambrosio, A compactness theorem for a new class of functions of bounded variations, Boll. Un. Mat. Ital. 3-B (1989) 857-881.
    • (1989) Boll. Un. Mat. Ital. , vol.3 B , pp. 857-881
    • Ambrosio, L.1
  • 2
    • 0000465804 scopus 로고
    • Existence theory for a new class of variational problems
    • L. Ambrosio, Existence theory for a new class of variational problems, Arch. Rat. Mech. Anal. 111 (1990) 291-322.
    • (1990) Arch. Rat. Mech. Anal. , vol.111 , pp. 291-322
    • Ambrosio, L.1
  • 3
    • 0000902474 scopus 로고
    • A new proof of the SBV compactness theorem
    • L. Ambrosio, A new proof of the SBV compactness theorem, Calc. Var. Partial Diff. Eqns. 3 (1995) 127-137.
    • (1995) Calc. Var. Partial Diff. Eqns. , vol.3 , pp. 127-137
    • Ambrosio, L.1
  • 5
    • 0033891792 scopus 로고    scopus 로고
    • Numerical experiments in revisited brittle fracture
    • B. Bourdin, G. A. Francfort and J.-J. Marigo, Numerical experiments in revisited brittle fracture, J. Mech. Phys. Solids 48-4 (2000) 797-826.
    • (2000) J. Mech. Phys. Solids , vol.48 , Issue.4 , pp. 797-826
    • Bourdin, B.1    Francfort, G.A.2    Marigo, J.-J.3
  • 9
    • 0038806783 scopus 로고    scopus 로고
    • A density result in two-dimensional linearized elasticity, and applications
    • A. Chambolle, A density result in two-dimensional linearized elasticity, and applications, Arch. Ration. Mech. Anal. 167 (2003) 211-233.
    • (2003) Arch. Ration. Mech. Anal. , vol.167 , pp. 211-233
    • Chambolle, A.1
  • 10
    • 0033229355 scopus 로고    scopus 로고
    • A density result in SBV with respect to non-isotropic energies
    • G. Cortesani and R. Toader, A density result in SBV with respect to non-isotropic energies, Nonlinear Anal. Ser. B: Real World Appl. 38 (1999) 585-604.
    • (1999) Nonlinear Anal. Ser. B: Real World Appl. , vol.38 , pp. 585-604
    • Cortesani, G.1    Toader, R.2
  • 13
    • 0036557535 scopus 로고    scopus 로고
    • A model for the quasistatic growth of brittle fractures: Existence and approximation results
    • G. Dal Maso and R. Toader, A model for the quasistatic growth of brittle fractures: Existence and approximation results, Arch. Rat. Mech. Anal. 162 (2002) 101-135.
    • (2002) Arch. Rat. Mech. Anal. , vol.162 , pp. 101-135
    • Dal Maso, G.1    Toader, R.2
  • 15
    • 0042859940 scopus 로고    scopus 로고
    • Existence and convergence for quasistatic evolution in brittle fracture
    • G. A. Francfort and C. J. Larsen, Existence and convergence for quasistatic evolution in brittle fracture, Comm. Pure Appl. Math. 56 (2003) 1465-1500.
    • (2003) Comm. Pure Appl. Math. , vol.56 , pp. 1465-1500
    • Francfort, G.A.1    Larsen, C.J.2
  • 16
    • 0032139947 scopus 로고    scopus 로고
    • Revisiting brittle fractures as an energy minimization problem
    • G. A. Francfort and J.-J. Marigo, Revisiting brittle fractures as an energy minimization problem, J. Mech. Phys. Solids 46 (1998) 1319-1342.
    • (1998) J. Mech. Phys. Solids , vol.46 , pp. 1319-1342
    • Francfort, G.A.1    Marigo, J.-J.2
  • 17
    • 12144268240 scopus 로고    scopus 로고
    • Ambrosio-Tortorelli approximation of quasistatic evolution of brittle fractures
    • A. Giacomini, Ambrosio-Tortorelli approximation of quasistatic evolution of brittle fractures, Calc. Var. Partial Diff. Eqns. 22 (2005) 129-172.
    • (2005) Calc. Var. Partial Diff. Eqns. , vol.22 , pp. 129-172
    • Giacomini, A.1
  • 18
    • 0348233919 scopus 로고    scopus 로고
    • A discontinuous finite element approximation of quasistatic growth of brittle fractures
    • A. Giacomini and M. Ponsiglione, A discontinuous finite element approximation of quasistatic growth of brittle fractures, Numer. Funct. Anal. Optim. 24 (2003) 813-850.
    • (2003) Numer. Funct. Anal. Optim. , vol.24 , pp. 813-850
    • Giacomini, A.1    Ponsiglione, M.2
  • 19
    • 0033432488 scopus 로고    scopus 로고
    • Lower semicontinuity in spaces of weakly differentiable functions
    • J. Kristensen, Lower semicontinuity in spaces of weakly differentiable functions, Math. Ann. 313 (1999) 653-710.
    • (1999) Math. Ann. , vol.313 , pp. 653-710
    • Kristensen, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.