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Volumn 95, Issue 4, 2003, Pages 653-687

A finite element approximation of the Griffith's model in fracture mechanics

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EID: 0242308004     PISSN: 0029599X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00211-003-0456-y     Document Type: Article
Times cited : (50)

References (23)
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    • Numerical experiments in revisited brittle fracture
    • Bourdin, B., Francfort, G., Marigo, J.J.: Numerical experiments in revisited brittle fracture. J. Mech. Phys. Solids 48, 797-826 (2000)
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    • Bourdin, B.1    Francfort, G.2    Marigo, J.J.3
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    • Enegry minimizing brittle crack propagation
    • Buliga, M.: Enegry minimizing brittle crack propagation. J. Elasticity 52, 201-238 (1999)
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    • Discrete approximation of the Mumford-Shah functional in dimension two
    • Chambolle, A., Dal Maso, G.: Discrete approximation of the Mumford-Shah functional in dimension two. Math. Model. Numer. Anal. 33, 651-672 (1999)
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    • Cortesani, G.: Strong approximation of GSBV function by piecewise smooth functions. Ann. Univ. Ferrara, Sez. VII 43, 27-49 (1997)
    • (1997) Ann. Univ. Ferrara, Sez. VII , vol.43 , pp. 27-49
    • Cortesani, G.1
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    • 0033229355 scopus 로고    scopus 로고
    • A density result in SBV with respect to non-isotropic energies
    • Cortesani, G., Toader, R.: A density result in SBV with respect to non-isotropic energies. Nonlinear Anal. 38, 585-604 (1999)
    • (1999) Nonlinear Anal. , vol.38 , pp. 585-604
    • Cortesani, G.1    Toader, R.2
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    • 0036557535 scopus 로고    scopus 로고
    • A model for the quasi-static growth of a brittle fracture: Existence and approximation results
    • Dal Maso, G., Toader, R.: A model for the quasi-static growth of a brittle fracture: existence and approximation results, Arch. Ration. Mech. Anal. 162, 101-135 (2002)
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    • Revisiting brittle fracture as an energy minimization problem
    • Francfort, G., Marigo, J.J.: Revisiting brittle fracture as an energy minimization problem. J. Mech. Phys. Solids 46, 1319-1342 (1998)
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  • 20
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    • The anisotropy introduced by the mesh in the finite element approximation of the Mumford-Shah functional
    • Negri, M.: The anisotropy introduced by the mesh in the finite element approximation of the Mumford-Shah functional. Numer. Funct. Anal. Opt. 20, 957-982 (1999)
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    • Numerical minimization of the Mumford-Shah functional
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    • Rice, J.1


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