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Derivation of a homogenized von-Kármán shell theory from 3D elasticity
We derive homogenized von Kármán shell theories starting from three dimensional nonlinear elasticity. The original three dimensional model contains two small parameters: the period of oscillation $\epsilon$ of the material ...
Derivation of a homogenized nonlinear plate theory from 3d elasticity
We derive, via simultaneous homogenization and dimension reduction, the (Formula presented.)-limit for thin elastic plates whose energy density oscillates on a scale that is either comparable to, or much smaller than, the ...