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Volumn 29, Issue 3, 2000, Pages 671-709

Finite-Difference Approximation of Energies in Fracture Mechanics

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EID: 0000890504     PISSN: 0391173X     EISSN: 20362145     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (46)

References (37)
  • 1
    • 22444455116 scopus 로고    scopus 로고
    • Free-discontinuity problems generated by singular perturbation
    • [I] M. S. G E L L I
    • [I] R. ALICANDRO - A. BRAIDES - M. S. G E L L I, Free-discontinuity problems generated by singular perturbation, Proc. Roy. Soc. Edinburgh 128A (1998), 1115-1129.
    • (1998) Proc. Roy. Soc. Edinburgh , vol.128A , pp. 1115-1129
    • ALICANDRO, R.1    BRAIDES, A.2
  • 2
    • 0002034652 scopus 로고    scopus 로고
    • Free discontinuity problems generated by singular perturbation: the n-dimensional case
    • M. S. G E L L I, to appear
    • R. ALICANDRO - M. S. G E L L I, Free discontinuity problems generated by singular perturbation: the n-dimensional case, Proc. Roy. Soc. Edinburgh, to appear.
    • Proc. Roy. Soc. Edinburgh
    • ALICANDRO, R.1
  • 3
    • 0002622913 scopus 로고    scopus 로고
    • Free-discontinuityproblemsviafunctionalsinvolving the L2-norm ofthe gradient and their approximations
    • R. ALICANDRO - A. BRAIDES - J. SHAH, Free-discontinuityproblemsviafunctionalsinvolving the L2-norm ofthe gradient and their approximations. Interfaces and Free Boundaries 1 (1999), 17-37.
    • (1999) Interfaces and Free Boundaries , vol.1 , pp. 17-37
    • ALICANDRO, R.1    BRAIDES, A.2    SHAH, J.3
  • 4
    • 0001400376 scopus 로고
    • A compactness theorem for a new class offunctions ofboundedvariation
    • L. AMBROSIO, A compactness theorem for a new class offunctions ofboundedvariation, BolL Un. Mat. Ital. 3-B (1989), 857-881.
    • (1989) BolL Un. Mat. Ital , vol.3-B , pp. 857-881
    • AMBROSIO, L.1
  • 5
    • 0000465804 scopus 로고
    • Existence theory for a new class of variational problems
    • L. AMBROSIO, Existence theory for a new class of variational problems. Arch. Rational Mech. Anal. Ill (1990), 291-322.
    • (1990) Arch. Rational Mech. Anal. Ill , pp. 291-322
    • AMBROSIO, L.1
  • 7
    • 0002478231 scopus 로고    scopus 로고
    • Energies in SBV and variational models in fracture mechanics
    • D. CIORANESCU A. DAMLAMIAN P. DONATO (eds), GAKUTO, Gakkotosho, Tokio, Japan
    • L. AMBROSIO - A. BRAIDES, Energies in SBV and variational models in fracture mechanics. In: "Homogenization and Applications to Material Sciences", D. CIORANESCU - A. DAMLAMIAN - P. DONATO (eds.), GAKUTO, Gakkotosho, Tokio, Japan, 1997, pp. 1-22.
    • (1997) Homogenization and Applications to Material Sciences , pp. 1-22
    • AMBROSIO, L.1    BRAIDES, A.2
  • 10
    • 84990585710 scopus 로고
    • Approximation of functional depending on jumps by elliptic functionals via T-convergence
    • L. AMBROSIO - V. M. TORTORELLI, Approximation of functional depending on jumps by elliptic functionals via T-convergence. Comm. Pure Appi. Math. 43 (1990), 999-1036.
    • (1990) Comm. Pure Appi. Math , vol.43 , pp. 999-1036
    • AMBROSIO, L.1    TORTORELLI, V. M.2
  • 11
    • 0000654840 scopus 로고
    • On the approximation offree-discontinuityproblems
    • L. AMBROSIO - V. M. TŒITORELLI, On the approximation offree-discontinuityproblems. Boll. Un. Mat. Ital. 6-B (1992), 105-123.
    • (1992) Boll. Un. Mat. Ital , vol.6-B , pp. 105-123
    • AMBROSIO, L.1    TŒITORELLI, V. M.2
  • 12
    • 0032105153 scopus 로고    scopus 로고
    • Compactness and lower semicontinuity in SBD(Q)
    • G. BELLETTINI - A. COSCIA - G. DAL MASO, Compactness and lower semicontinuity in SBD(Q), Math. Z. 228 (1998), 337-351.
    • (1998) Math. Z , vol.228 , pp. 337-351
    • BELLETTINI, G.1    COSCIA, A.2    DAL MASO, G.3
  • 14
    • 0004114463 scopus 로고    scopus 로고
    • Approximation of Free-Discontinuity Problems
    • Springer Verlag, Berlin
    • A. BRAIDES, "Approximation of Free-Discontinuity Problems", Lecture Notes in Mathematics, Springer Verlag, Berlin, 1998.
    • (1998) Lecture Notes in Mathematics
    • BRAIDES, A.1
  • 17
    • 0033411059 scopus 로고    scopus 로고
    • Variational formulation of softening phenomena in fracture mechanics: the one-dimensional case
    • A. BRAIDES - G. D A L M A S O - A. GARRONI, Variational formulation of softening phenomena in fracture mechanics: the one-dimensional case. Arch. Rational Mech. Anal. 146 (1999), 23-58.
    • (1999) Arch. Rational Mech. Anal , vol.146 , pp. 23-58
    • BRAIDES, A.1    GARRONI, G. D A L M A S O - A.2
  • 20
    • 85129718244 scopus 로고    scopus 로고
    • Limits ofdiscrete systems without convexity hypotheses
    • to appear
    • A. BRAIDES - M. S. GELLI, Limits ofdiscrete systems without convexity hypotheses. Math. Mech. Solids, to appear.
    • Math. Mech. Solids
    • BRAIDES, A.1    GELLI, M. S.2
  • 21
    • 0032259287 scopus 로고    scopus 로고
    • Energy minimizing brittle crackpropagation
    • M. BULICA, Energy minimizing brittle crackpropagation, J. Elasticity 52 (1999), 201-238.
    • (1999) J. Elasticity , vol.52 , pp. 201-238
    • BULICA, M.1
  • 22
    • 85129742723 scopus 로고    scopus 로고
    • Finite differences discretizations ofthe Mumford-Shahfunctional
    • to appear
    • A. CHAMBOLLE, Finite differences discretizations ofthe Mumford-Shahfunctional,RAIROModel. Math. Anal. Numer., to appear.
    • RAIROModel. Math. Anal. Numer
    • CHAMBOLLE, A.1
  • 28
    • 85129699074 scopus 로고    scopus 로고
    • On the variational approximation offree-discontinuityproblems in the vectorial case
    • to appear
    • M. FocARDi, On the variational approximation offree-discontinuityproblems in the vectorial case. Math. Models Methods Appi. Sci., to appear.
    • Math. Models Methods Appi. Sci
    • FocARDi, M.1
  • 29
    • 0032139947 scopus 로고    scopus 로고
    • Revisiting brittle fracture as an energy minimization problem
    • G. A. FRANCFORT - J. J. MARIGO, Revisiting brittle fracture as an energy minimization problem, J. Mech. Phys. Solids 46 No. 8 (1998), 1319-1342.
    • (1998) J. Mech. Phys. Solids , vol.46 , Issue.8 , pp. 1319-1342
    • FRANCFORT, G. A.1    MARIGO, J. J.2
  • 31
    • 0032338171 scopus 로고    scopus 로고
    • Finite difference approximation ofthe Mumford-Shahfunctional
    • M. GOBBING, Finite difference approximation ofthe Mumford-Shahfunctional, Conmi. Pure Appi. Math 51 (1998), 197-228.
    • (1998) Conmi. Pure Appi. Math , vol.51 , pp. 197-228
    • GOBBING, M.1
  • 33
    • 0000357002 scopus 로고
    • The phenomenon ofrupture andflow in solids
    • A. A. GRIFFITH, The phenomenon ofrupture andflow in solids, Phil Trans. Royal Soc. London A 221 (1920), 163-198.
    • (1920) Phil Trans. Royal Soc. London A , vol.221 , pp. 163-198
    • GRIFFITH, A. A.1
  • 34
    • 84990602490 scopus 로고
    • Optimal approximation by piecewise smoothfunctions andassociated variationalproblems
    • D. MuMFORD - J. SHAH, Optimal approximation by piecewise smoothfunctions andassociated variationalproblems. Comm. Pure Appi. Math. 17 (1989), 577-685.
    • (1989) Comm. Pure Appi. Math , vol.17 , pp. 577-685
    • MuMFORD, D.1    SHAH, J.2


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