Submitted Paper
(2008)
Authors:
Marta Lewicka - Maria Giovanna Mora - Mohammad Reza Pakzad
Pages: 21
Keywords:
shell theories, nonlinear elasticity, Gamma-convergence, elliptic surfaces, isometric immersions
Abstract:
Using the notion of Gamma-convergence, we discuss the limiting behavior of the 3d nonlinear elastic energy for thin elliptic shells, as their thickness h converges to zero, under the assumption that the elastic energy of deformations scales like hb with 2 < b < 4. We establish that, for the given scaling regime, the limiting theory reduces to the linear pure bending. Two major ingredients of the proofs are: the density of smooth infinitesimal isometries in the space of W2,2 first order infinitesimal isometries, and a result on matching smooth infinitesimal isometries with exact isometric immersions on smooth elliptic surfaces.![[PS]](/style/ps.png)
![[PDF]](/style/pdf.png)
[BibTeX Entry]
Available Files:
lemopa_convex4.pdf
abstract.tex (abstract.ps, abstract.pdf)
