Two-scale convergence for locally-periodic microstructures and homogenization of plywood structures

Details Two-scale convergence for locally-periodic microstructures and homogenization of plywood structures Two-scale convergence for locally-periodic microstructures and homogenization of plywood structures

2011-05-02

arxiv.org/abs/1105.0349v2

Mathematics

Analysis of PDEs

27 pages, 4 figures

Scientific paper

We introduce the notion of locally-periodic two-scale convergence. The admissible test functions are locally-periodic approximations of the corresponding functions with the space-dependent periodicity with respect to the fast variable being dependent on the slow variable. The compactness theorem for the locally-periodic two-scale convergence is proven. The developed theory is applied to derive macroscopic equations for a linear elasticity problem defined in domains with plywood microstructures.

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