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Volumn 80, Issue 5, 2001, Pages 547-562

On the inadequacy of the scaling of linear elasticity for 3D-2D asymptotics in a nonlinear setting

Author keywords

convergence; 35E99; 35M10; 49J45; 74B20; 74K15; 74K20; 74K35; Dimension reduction; Plate models; Relaxation

Indexed keywords


EID: 0011188033     PISSN: 00217824     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0021-7824(01)01204-1     Document Type: Article
Times cited : (17)

References (14)
  • 1
    • 34250138457 scopus 로고
    • Semicontinuity problems in the calculus of variations
    • Acerbi E., Fusco N. Semicontinuity problems in the calculus of variations. Arch. Rational Mech. Anal. 86:1984;125-145.
    • (1984) Arch. Rational Mech. Anal. , vol.86 , pp. 125-145
    • Acerbi, E.1    Fusco, N.2
  • 3
    • 48549111166 scopus 로고
    • 1,p -quasiconvexity and variational problems for multiple integrals
    • 1,p -quasiconvexity and variational problems for multiple integrals. J. Funct. Anal. 58:1984;225-253.
    • (1984) J. Funct. Anal. , vol.58 , pp. 225-253
    • Ball, J.M.1    Murat, F.2
  • 6
    • 0042699499 scopus 로고    scopus 로고
    • A-quasiconvexity: Relaxation and homogenization
    • to appear in
    • A. BRAIDES, I. FONSECA, G. LEONI, A-quasiconvexity: relaxation and homogenization, to appear in ESAIM: COCV.
    • ESAIM: COCV
    • Braides, A.1    Fonseca, I.2    Leoni, G.3
  • 8
    • 0018322217 scopus 로고
    • A justification of the two-dimensional linear plate model
    • Ciarlet P.G., Destuynder Ph. A justification of the two-dimensional linear plate model. J. Mécanique. 18:1979;315-344.
    • (1979) J. Mécanique , vol.18 , pp. 315-344
    • Ciarlet, P.G.1    Destuynder, Ph.2
  • 11
    • 21344486080 scopus 로고
    • A justification of nonlinear properly invariant plate theories
    • Fox D.D., Raoult A., Simo J.C. A justification of nonlinear properly invariant plate theories. Arch. Rational Mech. Anal. 124:1993;157-199.
    • (1993) Arch. Rational Mech. Anal. , vol.124 , pp. 157-199
    • Fox, D.D.1    Raoult, A.2    Simo, J.C.3
  • 12
    • 0002425355 scopus 로고
    • Une notion générale de convergence faible pour des fonctions croissantes d'ensemble
    • De Giorgi E., Letta G. Une notion générale de convergence faible pour des fonctions croissantes d'ensemble. Ann. Sci. Norm. Sup. Pisa Cl. Sci. 4:1977;61-99.
    • (1977) Ann. Sci. Norm. Sup. Pisa Cl. Sci. , vol.4 , pp. 61-99
    • De Giorgi, E.1    Letta, G.2
  • 14
    • 0000312494 scopus 로고
    • The nonlinear membrane model as variational limit of nonlinear three-dimensional elasticity
    • Le Dret H., Raoult A. The nonlinear membrane model as variational limit of nonlinear three-dimensional elasticity. J. Math. Pures Appl. 74:1995;549-578.
    • (1995) J. Math. Pures Appl. , vol.74 , pp. 549-578
    • Le Dret, H.1    Raoult, A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.