Design of composite structures with extremal elastic properties in the presence of technological constraints

摘要

In this paper, composites made of periodically repeating micro structures are investigated. The study aims at identifying the optimal spatial distribution of constituents within a composite material to obtain the material of desired/improved functional properties. To find the relationship between micro- and macro-structural properties of the composite material, the method of homogenization is used. The problem of finding optimal microstructures of various materials, with the aim of obtaining maximum rigidity, i.e., maximum volume and shear modules for the base cell of a composite that contains the original installation of technological holes and/or inclusions was first investigated. For illustration and validation of the proposed approach, numerical examples are provided. (C) 2017 Elsevier All rights reserved.