A Boundary Element Formulation for Modeling Micro-Heterogeneous Materials

Abstract

This work presents a Boundary Element Method formulation for modeling
two-dimensional microstructures containing cylindrical voids and
inclusions. Inhomogeneities are modeled in an efficient way by using a
single specially developed element. Trigonometric functions are used
as a base for the element shape functions. A static condensation
scheme is performed on the system of equations to further improve the
efficiency of the formulation. The accuracy of the proposed method is
illustrated with some examples.