The matched asymptotic expansion for the computation of the effective behavior of an elastic structure with a thin layer of holes
Abstract
In the framework of matched asymptotic expansions we introduce a new efficient and robust method to approximate the behavior of a structure con- taining a thin layer with periodically distributed micro-holes. A surface (in 3d) or a line in (2d) on which particular jumping conditions are defined sub- stitutes for the initial problem.