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Volumn 169, Issue 1, 2003, Pages 1-34

Justification of the nonlinear Kirchhoff-Love theory of plates as the application of a new singular inverse method

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EID: 0042977334     PISSN: 00039527     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00205-003-0267-4     Document Type: Article
Times cited : (25)

References (28)
  • 1
    • 0028466769 scopus 로고
    • Dimension reduction in variational problems, asymptotic development in Γ-convergence and thin structures in elasticity
    • ANZELLOTI, G., BALDO, S., PERCIVALE, D.: Dimension reduction in variational problems, asymptotic development in Γ-convergence and thin structures in elasticity. Asymptotic Anal. 9, 61-100 (1994)
    • (1994) Asymptotic Anal. , vol.9 , pp. 61-100
    • Anzelloti, G.1    Baldo, S.2    Percivale, D.3
  • 2
    • 0017417265 scopus 로고
    • Convexity conditions and existence theorems in nonlinear elasticity
    • BALL, J.: Convexity conditions and existence theorems in nonlinear elasticity. Arch. Rational Mech. Anal. 63, 337-403 (1977)
    • (1977) Arch. Rational Mech. Anal. , vol.63 , pp. 337-403
    • Ball, J.1
  • 3
    • 0034347576 scopus 로고    scopus 로고
    • Convergence of Meissner minimisers of the Ginzburg-Landau energy of superconductivity as kappa tends to infinity
    • BONNET, A., CHAPMAN, S.J., MONNEAU, R.: Convergence of Meissner minimisers of the Ginzburg-Landau energy of superconductivity as kappa tends to infinity. SIAM J. Math. Anal. 31, 1374-1395 (2000)
    • (2000) SIAM J. Math. Anal. , vol.31 , pp. 1374-1395
    • Bonnet, A.1    Chapman, S.J.2    Monneau, R.3
  • 9
    • 21344486080 scopus 로고
    • A justification of nonlinear properly invariant plate theories
    • FOX, D., RAOULT, A., SIMO, J.C.: A justification of Nonlinear Properly Invariant Plate Theories. Arch. Rational Mech. Anal. 124, 157-199 (1993)
    • (1993) Arch. Rational Mech. Anal. , vol.124 , pp. 157-199
    • Fox, D.1    Raoult, A.2    Simo, J.C.3
  • 10
    • 0036384329 scopus 로고    scopus 로고
    • A theorem on geometric rigidity and the derivation of nonlinear plate theory from three dimensional elasticity
    • FRIESECKE, G., JAMES, R.D., MÜLLER, S.: A theorem on geometric rigidity and the derivation of nonlinear plate theory from three dimensional elasticity. Comm. Pure Appl. Math. 55, 1461-1506 (2002)
    • (2002) Comm. Pure Appl. Math. , vol.55 , pp. 1461-1506
    • Friesecke, G.1    James, R.D.2    Müller, S.3
  • 11
    • 0038526266 scopus 로고    scopus 로고
    • The Föppl-von Kármán plate theory as a low energy Gamma limit of nonlinear elasticity
    • FRIESECKE, G., JAMES, R.D., MÜLLER, S.: The Föppl-von Kármán plate theory as a low energy Gamma limit of nonlinear elasticity. C.R. Acad. Sci. Paris Séa. I 335, 201-206 (2002)
    • (2002) C.R. Acad. Sci. Paris Séa. I , vol.335 , pp. 201-206
    • Friesecke, G.1    James, R.D.2    Müller, S.3
  • 12
    • 84981750370 scopus 로고
    • Estimates for the derivatives of the stress in a thin shell and interior shell equations
    • JOHN, F.: Estimates for the Derivatives of the Stress in a Thin Shell and Interior Shell Equations. Comm. Pure Appl. Math. 18, 235-267 (1965)
    • (1965) Comm. Pure Appl. Math. , vol.18 , pp. 235-267
    • John, F.1
  • 13
    • 84980187481 scopus 로고
    • Refined interior equations for thin elastic shells
    • JOHN, F.: Refined Interior Equations For Thin Elastic Shells. Comm. Pure Appl. Math. 24, 583-615 (1971)
    • (1971) Comm. Pure Appl. Math. , vol.24 , pp. 583-615
    • John, F.1
  • 14
    • 0041721168 scopus 로고
    • Estimates for the error in the equations of non-linear plate theory
    • New York Univ., Courant Inst. Math. Sci.
    • JOHN, F.: Estimates for the error in the equations of non-linear plate theory. New York Univ., Courant Inst. Math. Sci., Res. Rep. IMM-NYU 308, 1963
    • (1963) Res. Rep. IMM-NYU , vol.308
    • John, F.1
  • 15
    • 84930244279 scopus 로고
    • Über das gleichgewicht und die bewegung einer elastischen schribe
    • KIRCHHOFF, G.: Über das Gleichgewicht und die Bewegung einer elastischen Schribe. J. Reine Angew. Math. 40, 51-58 (1850)
    • (1850) J. Reine Angew. Math. , vol.40 , pp. 51-58
    • Kirchhoff, G.1
  • 16
    • 21844493882 scopus 로고
    • The quasiconvex envelope of the Saint Venant-Kirchhoff stored energy function
    • LE DRET, H., RAOULT, A.: The quasiconvex envelope of the Saint Venant-Kirchhoff stored energy function. Proceedings of the Royal Society of Edimburgh A125, 1179-1192 (1995)
    • (1995) Proceedings of the Royal Society of Edimburgh , vol.A125 , pp. 1179-1192
    • Le Dret, H.1    Raoult, A.2
  • 17
    • 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, 549-578 (1995)
    • (1995) J. Math. Pures Appl. , vol.74 , pp. 549-578
    • Le Dret, H.1    Raoult, A.2
  • 18
    • 0003227104 scopus 로고
    • Perturbations singulières dans les problèmes aux limites et en contrôle optimal
    • Springer-Verlag, Berlin, Heidelberg, New York
    • LIONS, J.L.: Perturbations Singulières dans les Problèmes aux Limites et en Contrôle Optimal. Lecture Notes in Math. 323, Springer-Verlag, Berlin, Heidelberg, New York, 1973
    • (1973) Lecture Notes in Math. , vol.323
    • Lions, J.L.1
  • 20
    • 0037570112 scopus 로고
    • Saint-Venant's problem and semi-inverse solutions in nonlinear elasticity
    • MIELKE, A.: Saint-Venant's Problem and Semi-Inverse Solutions in Nonlinear Elasticity. Arch. Rational Mech. Anal. 102, 205-229 (1988)
    • (1988) Arch. Rational Mech. Anal. , vol.102 , pp. 205-229
    • Mielke, A.1
  • 23
    • 0000667107 scopus 로고
    • On Korn's second inequality
    • NITSCHE, J.A.: On Korn's second inequality. RAIRO Numerical Anal. 15, 237-248 (1981)
    • (1981) RAIRO Numerical Anal. , vol.15 , pp. 237-248
    • Nitsche, J.A.1
  • 24
    • 0034660788 scopus 로고    scopus 로고
    • Dérivation des modèles de plaques non linéaires à partir de l'élasticité tridimensionnelle
    • PANTZ, O.: Dérivation des modèles de plaques non linéaires à partir de l'élasticité tridimensionnelle, C.R. Acad. Sci. Paris Série I Math. 331, 171-174 (2000)
    • (2000) C.R. Acad. Sci. Paris Série I Math. , vol.331 , pp. 171-174
    • Pantz, O.1
  • 25
    • 0012990486 scopus 로고    scopus 로고
    • Une justification partielle du modèle de plaques en flexion par Γ-convergence
    • PANTZ, O.: Une justification partielle du modèle de plaques en flexion par Γ-convergence. C.R. Acad. Sci. Paris Série I Math. 332, 587-592 (2001)
    • (2001) C.R. Acad. Sci. Paris Série I Math. , vol.332 , pp. 587-592
    • Pantz, O.1
  • 28
    • 0025434060 scopus 로고
    • Existence theorems for nonlinear elastic plates with periodic boundary conditions
    • PAUMIER, J.-C.: Existence theorems for nonlinear elastic plates with periodic boundary conditions. J. Elasticity 23, 233-252 (1990)
    • (1990) J. Elasticity , vol.23 , pp. 233-252
    • Paumier, J.-C.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.