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Volumn 176, Issue 2, 2005, Pages 165-225

Quasistatic crack growth in nonlinear elasticity

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EID: 17744387968     PISSN: 00039527     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00205-004-0351-4     Document Type: Article
Times cited : (290)

References (31)
  • 1
    • 0001400376 scopus 로고
    • A compactness theorem for a new class of functions of bounded variation
    • AMBROSIO, L.: A compactness theorem for a new class of functions of bounded variation. Boll. Un. Mat. Ital. B (7) 3, 857-881 (1989)
    • (1989) Boll. Un. Mat. Ital. B (7) , vol.3 , pp. 857-881
    • Ambrosio, L.1
  • 2
    • 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, 291-322 (1990)
    • (1990) Arch. Rational Mech. Anal. , vol.111 , pp. 291-322
    • Ambrosio, L.1
  • 3
    • 0001005941 scopus 로고
    • On the lower semicontinuity of quasi-convex functionals in
    • AMBROSIO, L.: On the lower semicontinuity of quasi-convex functionals in SBV. Nonlinear Anal. 23, 405-425 (1994)
    • (1994) SBV. Nonlinear Anal. , vol.23 , pp. 405-425
    • Ambrosio, L.1
  • 6
    • 23544472587 scopus 로고
    • 1 under strict convexity
    • Boundary value problems for partial differential equations and applications
    • 1 under strict convexity. Boundary value problems for partial differential equations and applications, 43-52, RMA Res. Notes Appl. Math., 29, Masson, Paris, 1993
    • (1993) RMA Res. Notes Appl. Math., 29, Masson, Paris , pp. 43-52
    • Brezis, H.1
  • 7
    • 0038806783 scopus 로고    scopus 로고
    • A density result in two-dimensional linearized elasticity, and applications
    • CHAMBOLLE, A.: A density result in two-dimensional linearized elasticity, and applications. Arch. Rational Mech. Anal. 167, 211-233 (2003)
    • (2003) Arch. Rational Mech. Anal. , vol.167 , pp. 211-233
    • Chambolle, A.1
  • 12
    • 0036557535 scopus 로고    scopus 로고
    • A model for the quasi-static growth of brittle fractures: Existence and approximation results
    • DAL MASO, G., TOADER, R.: A model for the quasi-static growth of brittle fractures: existence and approximation results. Arch. Rational Mech. Anal. 162, 101-135 (2002)
    • (2002) Arch. Rational Mech. Anal. , vol.162 , pp. 101-135
    • Dal Maso, G.1    Toader, R.2
  • 14
    • 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, 195-218 (1989)
    • (1989) Arch. Rational Mech. Anal. , vol.108 , pp. 195-218
    • De Giorgi, E.1    Carriero, M.2    Leaci, A.3
  • 17
    • 0042859940 scopus 로고    scopus 로고
    • Existence and convergence for quasi-static evolution in brittle fracture
    • FRANCFORT, G.A., LARSEN, C.J.: Existence and convergence for quasi-static evolution in brittle fracture. Commun. Pure Appl. Math. 56, 1465-1500 (2003)
    • (2003) Commun. Pure Appl. Math. , vol.56 , pp. 1465-1500
    • Francfort, G.A.1    Larsen, C.J.2
  • 18
    • 0000427613 scopus 로고
    • Stable damage evolution in a brittle continuous medium
    • FRANCFORT, G.A., MARIGO, J.-J.: Stable damage evolution in a brittle continuous medium. European J. Mech. A Solids 12, 149-189 (1993)
    • (1993) European J. Mech. A Solids , vol.12 , pp. 149-189
    • Francfort, G.A.1    Marigo, J.-J.2
  • 19
    • 0032139947 scopus 로고    scopus 로고
    • Revisiting brittle fracture as an energy minimization problem
    • FRANCFORT, G.A., MARIGO, J.-J.: Revisiting brittle fracture as an energy minimization problem. J. Mech. Phys. Solids 46, 1319-1342 (1998)
    • (1998) J. Mech. Phys. Solids , vol.46 , pp. 1319-1342
    • Francfort, G.A.1    Marigo, J.-J.2
  • 20
  • 21
    • 17744375393 scopus 로고
    • Über Annäherung an Lebesgue'sche Integrale durch Riemann'sche Summen
    • HAHN, H.: Über Annäherung an Lebesgue'sche Integrale durch Riemann'sche Summen. Sitzungsber. Math. Phys. Kl. K. Akad. Wiss. Wien 123, 713-743 (1914)
    • (1914) Sitzungsber. Math. Phys. Kl. K. Akad. Wiss. Wien , vol.123 , pp. 713-743
    • Hahn, H.1
  • 22
    • 0010209030 scopus 로고
    • A Riemann-type integral of Lebesgue power
    • HENSTOCK, R.: A Riemann-type integral of Lebesgue power. Canad. J. Math. 20, 79-87 (1968)
    • (1968) Canad. J. Math. , vol.20 , pp. 79-87
    • Henstock, R.1
  • 24
    • 0033432488 scopus 로고    scopus 로고
    • Lower semicontinuity in spaces of weakly differentiable functions
    • KRISTENSEN, J.: Lower semicontinuity in spaces of weakly differentiable functions. Math. Ann. 313, 653-710 (1999)
    • (1999) Math. Ann. , vol.313 , pp. 653-710
    • Kristensen, J.1
  • 25
    • 14944347933 scopus 로고    scopus 로고
    • Existence results for energetic models for rate-independent systems
    • to appear
    • MAINIK, A., MIELKE, A.: Existence results for energetic models for rate-independent systems. Calc. Var. Partial Differential Equations, 2004, to appear.
    • (2004) Calc. Var. Partial Differential Equations
    • Mainik, A.1    Mielke, A.2
  • 27
    • 0002902403 scopus 로고    scopus 로고
    • A mathematical model for rate-independent phase transformations with hysteresis
    • Alber, H.-D., Balean, R., Farwig, R. (eds.), Shaker-Verlag
    • MIELKE, A., THEIL, F.: A mathematical model for rate-independent phase transformations with hysteresis. In: Alber, H.-D., Balean, R., Farwig, R. (eds.), Proceedings of the Workshop on "Models of continuum mechanics in analysis and engineering" (1999), Shaker-Verlag, pp. 117-129
    • (1999) Proceedings of the Workshop on "Models of Continuum Mechanics in Analysis and Engineering" , pp. 117-129
    • Mielke, A.1    Theil, F.2
  • 28
    • 0036012128 scopus 로고    scopus 로고
    • A variational formulation of rate-independent phase transformations using an extremum principle
    • MIELKE, A., THEIL, F., LEVITAS, V.: A variational formulation of rate-independent phase transformations using an extremum principle. Arch. Rational Mech. Anal. 162, 137-177 (2002)
    • (2002) Arch. Rational Mech. Anal. , vol.162 , pp. 137-177
    • Mielke, A.1    Theil, F.2    Levitas, V.3
  • 30
    • 17744364516 scopus 로고
    • Sur les fonctions d'intervalle
    • SAKS, S.: Sur les fonctions d'intervalle. Fund. Math. 10, 211-224 (1927)
    • (1927) Fund. Math. , vol.10 , pp. 211-224
    • Saks, S.1
  • 31
    • 84972814157 scopus 로고
    • Strong convergence results related to strict convexity
    • VISINTIN, A.: Strong convergence results related to strict convexity. Commun. Partial Differential Equations 9, 439-466 (1984)
    • (1984) Commun. Partial Differential Equations , vol.9 , pp. 439-466
    • Visintin, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.