engleski

Regularity of intrinsically convex W^{;;2, 2};; surfaces and a derivation of a homogenized bending theory of convex shells

We prove interior regularity for isometric immersions of surfaces endowed with a smooth Riemannian metric of positive Gauss curvature. We then derive the Γ- limit of three dimensional nonlinear shells with inhomogeneous energy density, in the bending energy regime. This derivation is incomplete in that it requires an additional technical hypothesis

Nonlinear elasticity ; Isometric immersions ; Homogenization ; Positive Gauss curvature ; Dimension reduction ; Bending theory

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