ABSTRACT
This chapter presents the integral formulation, the algebraic procedure and homogenization application. With the increasing number of projects with composite materials came the need to calculate stresses and strains in structures of anisotropic materials. The boundary element method has characteristics very desirable for modelling many problems, such as: can model problems of high gradient of stress and strain and only the contour is discretized. The homogenization technique, which aims to transform an element of heterogeneous material such as masonry made of bricks and mortar in a Representative Volume Element corresponding homogeneous loaded from the same set of behavioral characteristics, is often used for this purpose. The homogenization process is an approach used to understand the behavior of heterogeneous materi-al by a representative homogeneous material. The orthotropy is considered by expressing a residual elastic tensor as the difference of the orthotropic and isotropic elastic tensors and cell's discretization of the domain must be considered for internal variables.
