On the general homogenization and Gamma-closure for the equations of von Kármán plate from 3 D nonlinear elasticity
Igor Velčić · arXiv (Cornell University) · 2013
Starting from 3D elasticity equations we derive the model of the homogenized von Karman plate by means of Γ-convergence. This generalizes the recent results, where the material oscillations were assumed to be periodic. We also prove the locality of Γ-closure i.e. that every energy density obtained in this way by mixing n different materials is at almost every point of domain limit of some sequence of the energy densities obtained by periodic homogenization.