Abstract
The problem of identification of the size of a void in a microscale on the basis of the homogenized material parameters is studied in this work. A three-dimensional unit-cell model of a porous microstructure is modelled and analyzed by the boundary element method (BEM). The method is very accurate and for the considered problem requires discretization only the outer boundary of models. The algorithm used for identification is characterized by a hierarchical structure which allows for parallel computing on three different levels. The parallel algorithm is used for evolutionary computations. The solution of boundary value problems by the BEM and the determination of effective material properties by numerical homogenization method are also parallelized. The computation of the compliance matrix for a porous microstructure is shown. The matrix is used to formulate the objective function in identification problem in which the size of a void is searched. The scalability tests of the algorithm are performed using a server consisting of eight floating point units. As a result of using the hierarchical structure of the identification algorithm and the BEM, a significant computation speedup and the accuracy are achieved.