메뉴 건너뛰기




Volumn 336, Issue 8, 2003, Pages 697-702

Derivation of nonlinear bending theory for shells from three-dimensional nonlinear elasticity by Gamma-convergence;Dérivation de la théorie non linéaire des coques en flexion à partir de l'élasticité non linéaire tridimensionelle par Gamma-convergence

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0038783154     PISSN: 1631073X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S1631-073X(03)00028-1     Document Type: Article
Times cited : (156)

References (12)
  • 1
    • 0000640052 scopus 로고
    • A variational definition for the strain energy of an elastic string
    • E. Acerbi, G. Buttazzo, D. Percivale, A variational definition for the strain energy of an elastic string, J. Elasticity 25 (1991) 137-148.
    • (1991) J. Elasticity , vol.25 , pp. 137-148
    • Acerbi, E.1    Buttazzo, G.2    Percivale, D.3
  • 2
    • 0003953834 scopus 로고
    • Nonlinear Problems of Elasticity
    • Springer, New York
    • S.S. Antman, Nonlinear Problems of Elasticity, Springer, New York, 1995.
    • (1995)
    • Antman, S.S.1
  • 4
    • 21344486080 scopus 로고
    • A justification of properly invariant plate theories
    • D.D. Fox, A. Raoult, J.C. Simo, A justification of 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
  • 5
    • 0013035575 scopus 로고    scopus 로고
    • Rigorous derivation of nonlinear plate theory and geometric rigidity
    • G. Friesecke, R.D. James, S. Müller, Rigorous derivation of nonlinear plate theory and geometric rigidity, C. R. Acad. Sci. Paris, Sér I 334 (2002) 173-178.
    • (2002) C. R. Acad. Sci. Paris, Sér I , vol.334 , pp. 173-178
    • Friesecke, G.1    James, R.D.2    Müller, S.3
  • 6
    • 0036384329 scopus 로고    scopus 로고
    • A theorem on geometric rigidity and the derivation of nonlinear plate theory from three dimensional elasticity
    • G. Friesecke, R.D. James, S. Müller, A theorem on geometric rigidity and the derivation of nonlinear plate theory from three dimensional elasticity, Comm. Pure Appl. Math. 55 (2002) 1461-1506.
    • (2002) Comm. Pure Appl. Math. , vol.55 , pp. 1461-1506
    • Friesecke, G.1    James, R.D.2    Müller, S.3
  • 7
    • 84980088555 scopus 로고
    • Rotation and strain
    • F. John, Rotation and strain, Comm. Pure Appl. Math. 14 (1961) 391-413.
    • (1961) Comm. Pure Appl. Math. , vol.14 , pp. 391-413
    • John, F.1
  • 8
    • 84930244279 scopus 로고
    • Über das Gleichgewicht und die Bewegung einer elastischen Scheibe
    • G. Kirchhoff, Über das Gleichgewicht und die Bewegung einer elastischen Scheibe, J. Reine Angew. Math. 40 (1850) 51-88.
    • (1850) J. Reine Angew. Math. , vol.40 , pp. 51-88
    • Kirchhoff, G.1
  • 9
    • 0001331060 scopus 로고
    • Le modèle de membrane non linéaire comme limite variationelle de l'élasticité non linéaire tridimensionelle
    • H. LeDret, A. Raoult, Le modèle de membrane non linéaire comme limite variationelle de l'élasticité non linéaire tridimensionelle, C. R. Acad. Sci. Paris Sér I 317 (1993) 221-226.
    • (1993) C. R. Acad. Sci. Paris Sér I , vol.317 , pp. 221-226
    • LeDret, H.1    Raoult, A.2
  • 10
    • 0000312494 scopus 로고
    • The nonlinear membrane model as a variational limit of nonlinear three-dimensional elasticity
    • H. LeDret, A. Raoult, The nonlinear membrane model as a variational limit of nonlinear three-dimensional elasticity, J. Math. Pures Appl. 73 (1995) 549-578,
    • (1995) J. Math. Pures Appl. , vol.73 , pp. 549-578
    • LeDret, H.1    Raoult, A.2
  • 11
    • 1842611371 scopus 로고    scopus 로고
    • The membrane shell model in nonlinear elasticity: A variational symptotic derivation
    • H. LeDret, A. Raoult, The membrane shell model in nonlinear elasticity: a variational symptotic derivation, J. Nonlinear Sci. 6 (1996) 59-84.
    • (1996) J. Nonlinear Sci. , vol.6 , pp. 59-84
    • LeDret, H.1    Raoult, A.2
  • 12
    • 0012990486 scopus 로고    scopus 로고
    • Une justification partielle du modèle de plaque en flexion par Γ-convergence
    • O. Pantz, Une justification partielle du modèle de plaque en flexion par Γ-convergence, C. R. Acad. Sci. Paris, Sér I 332 (2001) 587-592.
    • (2001) C. R. Acad. Sci. Paris, Sér I , vol.332 , pp. 587-592
    • Pantz, O.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.