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Volumn 337, Issue 12, 2003, Pages 819-824

Nonlinear thin plate models for a family of Ogden materials

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EID: 0348207608     PISSN: 1631073X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.crma.2003.10.029     Document Type: Article
Times cited : (6)

References (11)
  • 1
    • 0017417265 scopus 로고
    • Convexity conditions and existence theorems in nonlinear elasticity
    • J.M. Ball, Convexity conditions and existence theorems in nonlinear elasticity, Arch. Rational Mech. Anal. 63 (4) (1976) 337-403.
    • (1976) Arch. Rational Mech. Anal. , vol.63 , Issue.4 , pp. 337-403
    • Ball, J.M.1
  • 2
    • 0034425793 scopus 로고    scopus 로고
    • Relaxation of singular functional defined on Sobolev spaces
    • H. Ben Belgacem, Relaxation of singular functional defined on Sobolev spaces, ESAIM Control Optim. Calc. Var. 5 (2000) 71-85.
    • (2000) ESAIM Control Optim. Calc. Var. , vol.5 , pp. 71-85
    • Ben Belgacem, H.1
  • 3
    • 0003339606 scopus 로고
    • Mathematical Elasticity, Vol. I. Three-Dimensional Elasticity
    • North-Holland, Amsterdam
    • P.G. Ciarlet, Mathematical Elasticity, Vol. I. Three-Dimensional Elasticity, in: Stud. Math. Appl., Vol. 20, North-Holland, Amsterdam, 1988.
    • (1988) Stud. Math. Appl. , vol.20
    • Ciarlet, P.G.1
  • 4
    • 0346681510 scopus 로고    scopus 로고
    • Mathematical Elasticity, Vol. III. Theory of Shells
    • North-Holland, Amsterdam
    • P.G. Ciarlet, Mathematical Elasticity, Vol. III. Theory of Shells, in: Stud. Math. Appl., Vol. 29, North-Holland, Amsterdam, 2000.
    • (2000) Stud. Math. Appl. , vol.29
    • Ciarlet, P.G.1
  • 5
    • 0032296358 scopus 로고    scopus 로고
    • An existence theorem for nonlinearly elastic "flexural" shells
    • P. Ciarlet, D. Coutand, An existence theorem for nonlinearly elastic "flexural" shells, J. Elasticity 50 (3) (1998) 261-277.
    • (1998) J. Elasticity , vol.50 , Issue.3 , pp. 261-277
    • Ciarlet, P.1    Coutand, D.2
  • 7
    • 0030639020 scopus 로고    scopus 로고
    • Existence d'un minimiseur pour le modèle proprement invariant de plaque en flexion non linéairement élastique
    • D. Coutand, Existence d'un minimiseur pour le modèle proprement invariant de plaque en flexion non linéairement élastique, C. R. Acad. Sci. Paris, Sér. I 324 (2) (1997) 245-248.
    • (1997) C. R. Acad. Sci. Paris, Sér. I , vol.324 , Issue.2 , pp. 245-248
    • Coutand, D.1
  • 8
    • 21344486080 scopus 로고
    • A justification of nonlinear properly invariant plate theories
    • D.D. Fox, A. Raoult, J.C. Simo, A justification of nonlinear properly invariant plate theories, Arch. Rational Mech. Anal. 124 (2) (1993) 157-199.
    • (1993) Arch. Rational Mech. Anal. , vol.124 , Issue.2 , pp. 157-199
    • Fox, D.D.1    Raoult, A.2    Simo, J.C.3
  • 9
    • 0000312494 scopus 로고
    • The nonlinear membrane model as variational limit of nonlinear three-dimensional elasticity
    • H. Le Dret, A. Raoult, The nonlinear membrane model as variational limit of nonlinear three-dimensional elasticity, J. Math. Pures Appl. (9) 74 (6) (1995) 549-578.
    • (1995) J. Math. Pures Appl. (9) , vol.74 , Issue.6 , pp. 549-578
    • Le Dret, H.1    Raoult, A.2


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