Volume 17, Number 2, April-June 2011
|Page(s)||493 - 505|
|Published online||24 March 2010|
- J.M. Ball, Some open problems in elasticity, in Geometry, mechanics, and dynamics, Springer, New York, USA (2002) 3–59. [Google Scholar]
- P.G. Ciarlet, Mathematical Elasticity, Vol. 3: Theory of Shells. North-Holland, Amsterdam (2000). [Google Scholar]
- G. Dal Maso, An introduction to Γ-convergence, Progress in Nonlinear Differential Equations and their Applications 8. Birkhäuser, USA (1993). [Google Scholar]
- G. Friesecke, R. James and 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. [CrossRef] [MathSciNet] [Google Scholar]
- G. Friesecke, R. James and S. Müller, A hierarchy of plate models derived from nonlinear elasticity by gamma-convergence. Arch. Ration. Mech. Anal. 180 (2006) 183–236. [CrossRef] [MathSciNet] [Google Scholar]
- H. LeDret and A. Raoult, The nonlinear membrane model as a variational limit of nonlinear three-dimensional elasticity. J. Math. Pures Appl. 73 (1995) 549–578. [Google Scholar]
- M. Lewicka and M. Pakzad, The infinite hierarchy of elastic shell models: some recent results and a conjecture. Preprint (2009) http://arxiv.org/abs/0907.1585. [Google Scholar]
- M. Lewicka, M.G. Mora and M.R. Pakzad, The matching property of infinitesimal isometries on elliptic surfaces and elasticity of thin shells. Preprint (2008) http://arxiv.org/abs/0811.2238. [Google Scholar]
- M. Lewicka, M.G. Mora and M.R. Pakzad, A nonlinear theory for shells with slowly varying thickness. C. R. Acad. Sci. Paris, Sér. I 347 (2009) 211–216. [Google Scholar]
- M. Lewicka, M.G. Mora and M.R. Pakzad, Shell theories arising as low energy Γ-limit of 3d nonlinear elasticity. Ann. Scuola Norm. Sup. Pisa Cl. Sci. (to appear). [Google Scholar]
- A.E.H. Love, A treatise on the mathematical theory of elasticity. 4th Edn., Cambridge University Press, Cambridge, UK (1927). [Google Scholar]
- M.G. Mora and S. Müller, Convergence of equilibria of three-dimensional thin elastic beams. Proc. Roy. Soc. Edinburgh Sect. A 138 (2008) 873–896. [MathSciNet] [Google Scholar]
- M.G. Mora and L. Scardia, Convergence of equilibria of thin elastic plates under physical growth conditions for the energy density. Preprint (2008). [Google Scholar]
- M.G. Mora, S. Müller and M.G. Schultz, Convergence of equilibria of planar thin elastic beams. Indiana Univ. Math. J. 56 (2007) 2413–2438. [CrossRef] [MathSciNet] [Google Scholar]
- S. Müller and M.R. Pakzad, Convergence of equilibria of thin elastic plates – the von Kármán case. Comm. Part. Differ. Equ. 33 (2008) 1018–1032. [CrossRef] [Google Scholar]
- M. Spivak, A Comprehensive Introduction to Differential Geometry, Vol. V. Second Edn., Publish or Perish Inc., Australia (1979). [Google Scholar]
- T. von Kármán, Festigkeitsprobleme im Maschinenbau, in Encyclopädie der Mathematischen Wissenschaften IV. B.G. Teubner, Leipzig, Germany (1910) 311–385. [Google Scholar]
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