A nonlinear theory for shells with slowly varying thickness

Comptes Rendus Mathematique

Volumn 347, Issue 3-4, 2009, Pages 211-216

  Lewicka, Marta ^a   Mora, Maria Giovanna ^b   Pakzad, Mohammad Reza ^c  

^a University of Minnesota   (United States)

^b SISSA   (Italy)

^c UNIVERSITY OF PITTSBURGH   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 60449093134     PISSN: 1631073X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.crma.2008.12.017     Document Type: Article

References (7)

1. Ciarlet P.G. Mathematical Elasticity (2000), North-Holland, Amsterdam
2. Friesecke G., James R., Mora M.G., and Müller S. Derivation of nonlinear bending theory for shells from three-dimensional nonlinear elasticity by Γ-convergence. C. R. Math. Acad. Sci. Paris, Ser. I 336 8 (2003) 697-702
3. Friesecke G., James R., and Müller S. A theorem on geometric rigidity and the derivation of nonlinear plate theory from three dimensional elasticity. Comm. Pure Appl. Math. 55 (2002) 1461-1506
4. Friesecke G., James R., and Müller S. A hierarchy of plate models derived from nonlinear elasticity by Γ-convergence. Arch. Ration. Mech. Anal. 180 2 (2006) 183-236
5. Le Dret H., and Raoult A. The nonlinear membrane model as a variational limit of nonlinear three-dimensional elasticity. J. Math. Pures Appl. 73 (1995) 549-578
6. Le Dret H., and Raoult A. The membrane shell model in nonlinear elasticity: a variational asymptotic derivation. J. Nonlinear Sci. 6 (1996) 59-84
7. M. Lewicka, M.G. Mora, M.R. Pakzad, Shell theories arising as low energy Γ-limit of 3d nonlinear elasticity, submitted for publication (2008), available at http://arxiv.org/abs/0803.0358