A general boundary layer corrector for the asymptotic homogenization of elastic linear composite structures

Asymptotic homogenization method is often used in multiscale analysis of periodic structures instead conducting a full field heterogeneous analysis, order to achieve computational feasibility and efficiency. When completed with relocalization process, this may provide relevant estimates microscale fields within the material. Nevertheless, construction solution near boundaries remains beyond capabilities classical schemes due loss periodicity vicinity boundaries. This paper proposes post-processing scheme conduct step finite element framework for linear elastic composite materials. It also assesses boundary layer effect new general method, effective various conditions (Dirichlet, Neumann or mixed), proposed based on idea computing corrective terms as auxiliary problems unit-cell. These are finally added usual obtained from process obtain corrected The efficiency, accuracy limitation approach studied numerical examples.