Modeling the edge effect in composites based on asymptotic homogenization method

Abstract

The purpose of this work is to develop a numerical algorithm for solving the problem of calculating the stress-strain state of structures made of composite materials, taking into account edge effects. The solution of the problem is carried out by modifying the asymptotic averaging method by taking into account an additional solution of the boundary layer type, which quickly fades away from the boundary. This solution makes a significant contribution to the neighborhood of the composite surface itself. A numerical example of calculating an element of a composite structure with holes is given, which showed the feasibility of the proposed method. The calculations are compared with a three-dimensional finite element solution in the ANSYS software package.