메뉴 건너뛰기




Volumn 48, Issue 4, 2000, Pages 797-826

Numerical experiments in revisited brittle fracture

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; BRITTLE FRACTURE; FINITE ELEMENT METHOD; FRACTURE TOUGHNESS; MATHEMATICAL MODELS; VARIATIONAL TECHNIQUES;

EID: 0033891792     PISSN: 00225096     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0022-5096(99)00028-9     Document Type: Article
Times cited : (1973)

References (24)
  • 1
    • 34249965244 scopus 로고
    • Variational problems in SBV and image segmentation
    • Ambrosio L. Variational problems in SBV and image segmentation. Acta Appl. Math. 17:1989;1-40.
    • (1989) Acta Appl. Math. , vol.17 , pp. 1-40
    • Ambrosio, L.1
  • 2
    • 0001400376 scopus 로고
    • A compactness theorem for a special class of functions of bounded variation
    • Ambrosio L. A compactness theorem for a special class of functions of bounded variation. Boll. Un. Mat. Ital. 3:(B):1989;857-881.
    • (1989) Boll. Un. Mat. Ital. , vol.3 , Issue.B , pp. 857-881
    • Ambrosio, L.1
  • 3
    • 0000465804 scopus 로고
    • Existence theory for a new class of variational problems
    • Ambrosio L. Existence theory for a new class of variational problems. Arch. Rational Mech. Anal. 111:(1):1990;291-322.
    • (1990) Arch. Rational Mech. Anal. , vol.111 , Issue.1 , pp. 291-322
    • Ambrosio, L.1
  • 4
    • 34748925841 scopus 로고
    • Approximation of functional depending on jumps by elliptic functionals via Γ-convergence
    • Ambrosio L., Tortorelli V.M. Approximation of functional depending on jumps by elliptic functionals via Γ-convergence. Comm. Pure Appl. Math. XLIII:1990;999-1036.
    • (1990) Comm. Pure Appl. Math. , vol.43 , pp. 999-1036
    • Ambrosio, L.1    Tortorelli, V.M.2
  • 5
    • 0000654840 scopus 로고
    • On the approximation of free discontinuity problems
    • Ambrosio L., Tortorelli V.M. On the approximation of free discontinuity problems. Boll. Un. Mat. Ital. 7:(6B):1992;105-123.
    • (1992) Boll. Un. Mat. Ital. , vol.7 , Issue.6 B , pp. 105-123
    • Ambrosio, L.1    Tortorelli, V.M.2
  • 7
    • 0026715730 scopus 로고
    • Crack path in plane situation - II, detailed form of the expansion of the stress intensity factors
    • Amestoy M., Leblond J-B. Crack path in plane situation - II, detailed form of the expansion of the stress intensity factors. Int. J. Solids Structures. 29:(4):1989;465-501.
    • (1989) Int. J. Solids Structures , vol.29 , Issue.4 , pp. 465-501
    • Amestoy, M.1    Leblond, J.-B.2
  • 8
    • 0040745183 scopus 로고
    • Discrete approximation of a free discontinuity problem
    • Bellettini G., Coscia A. Discrete approximation of a free discontinuity problem. Numer. Funct. Anal. Optim. 15:1994;105-123.
    • (1994) Numer. Funct. Anal. Optim. , vol.15 , pp. 105-123
    • Bellettini, G.1    Coscia, A.2
  • 10
    • 0033415668 scopus 로고    scopus 로고
    • Image segmentation with a finite element method
    • Bourdin, B., 1999. Image segmentation with a finite element method. RAIRO Modél. Math. Anal. Numér. 33 (2), 229-244.
    • (1999) RAIRO Modél. Math. Anal. Numér. , vol.33 , Issue.2 , pp. 229-244
    • Bourdin, B.1
  • 13
    • 0342727695 scopus 로고
    • Existence theorem for a Dirichlet problem with free discontinuity set
    • Carriero M., Leaci A. Existence theorem for a Dirichlet problem with free discontinuity set. Nonlinear Anal., Th. Meth. Appls. 15:(7):1990;661-677.
    • (1990) Nonlinear Anal., Th. Meth. Appls. , vol.15 , Issue.7 , pp. 661-677
    • Carriero, M.1    Leaci, A.2
  • 14
    • 0033463011 scopus 로고    scopus 로고
    • Finite differences discretizations of the Mumford-Shah functional
    • Chambolle, A., 1998. Finite differences discretizations of the Mumford-Shah functional. RAIRO Modél. Math. Anal. Numér. 33 (2), 261-288.
    • (1998) RAIRO Modél. Math. Anal. Numér. , vol.33 , Issue.2 , pp. 261-288
    • Chambolle, A.1
  • 15
    • 0343998849 scopus 로고    scopus 로고
    • Discrete approximation of the Mumford-Shah functional in dimension two
    • (in preparation)
    • Chambolle, A., Dal Maso, G., 1998. Discrete approximation of the Mumford-Shah functional in dimension two. RAIRO Modél. Math. Anal. Numér. (in preparation).
    • (1998) RAIRO Modél. Math. Anal. Numér.
    • Chambolle, A.1    Dal Maso, G.2
  • 16
    • 0000532812 scopus 로고
    • Existence theorem for a minimum problem with free discontinuity set
    • De-Giorgi E., Carriero M., Leaci A. Existence theorem for a minimum problem with free discontinuity set. Arch. Rational Mech. Anal. 108:1989;195-218.
    • (1989) Arch. Rational Mech. Anal. , vol.108 , pp. 195-218
    • De-Giorgi, E.1    Carriero, M.2    Leaci, A.3
  • 19
    • 0032139947 scopus 로고    scopus 로고
    • 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:(8):1998;1319-1342.
    • (1998) J. Mech. Phys. Solids , vol.46 , Issue.8 , pp. 1319-1342
    • Francfort, G.1    Marigo, J.-J.2
  • 20
    • 0003888857 scopus 로고
    • Cambridge University Press, Cambridge, Solid State Science Series
    • Hull, D., 1981. An Introduction to Composite Materials. Cambridge University Press, Cambridge, Solid State Science Series.
    • (1981) An Introduction to Composite Materials
    • Hull, D.1
  • 21
    • 0024881247 scopus 로고
    • Crack paths in plane situation - I, general form of the expansion of the stress intensity factors
    • Leblond J-B. Crack paths in plane situation - I, general form of the expansion of the stress intensity factors. Int. J. Solids Structures. 25:1989;1311-1325.
    • (1989) Int. J. Solids Structures , vol.25 , pp. 1311-1325
    • Leblond, J.-B.1
  • 22
    • 0001860989 scopus 로고
    • Asymptotic and numerical analysis of a crack branching in non-isotropic materials
    • Leguillon D. Asymptotic and numerical analysis of a crack branching in non-isotropic materials. Eur. J. Mech. A/Solids. 12:(1):1993;33-51.
    • (1993) Eur. J. Mech. A/Solids , vol.12 , Issue.1 , pp. 33-51
    • Leguillon, D.1
  • 24
    • 84990602490 scopus 로고
    • Optimal approximation by piecewise smooth functions and associated variational problems
    • Mumford D., Shah J. Optimal approximation by piecewise smooth functions and associated variational problems. Comm. Pure Appl. Math. 42:1989;577-685.
    • (1989) Comm. Pure Appl. Math. , vol.42 , pp. 577-685
    • Mumford, D.1    Shah, J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.