Homogenization of non-periodic zones in periodic domains using the embedded unit cell approach. (15th January 2017) - Grigorovitch, M.
Highlights: Development of a new concept, the embedded unit cell (EUC) approach. The EUC formulation is not restricted to the homogenization periodic assumptions. Solution of stress concentration problems through classical homogenization formulation. The EUC is reduced computational cost model. Abstract: In this paper we present the development of the embedded unit cell (EUC) approach, a new concept designed to facilitate homogenization and multi scale analysis of composite materials/domains in cases where the classical theory of homogenization is not valid due to lack of periodic microscopic response, e.g. in the boundary of a periodic macroscopic domain. The EUC approach is based on a non-periodic formulation of the asymptotic homogenization theory and evaluates the local/micro response of non-periodic zones, based on alternative boundary conditions. Finally, a verification study, which demonstrates the appropriate numerical performance of the suggested homogenization approach, is presented.