Boundry element method homogenization of the periodic linear elastic fiber composites

摘要

The paper presented is devaluated to the Boundary Element Method based homogenization of the periodic transversely isotropic liner elastic fiber-reinforced composites. The compose material under consideration has deterministically defined elastic properties while its components are perfectly bonded. To have a good comparison with the FEM-based computational techniques used previously, the additional Finite Element discretization is presented and compared numerically against BEM homogenization implementation on the example of engineering glass-epoxy composite. The homogenization method proposed ahs rather general characteristics and, as it is shown, can be easily extended on n-composites. On the contrary, we can consider and homogenize the heterogeneous media with randomly defined material properties using Monte-Carlo simulation technique or second order perturbation second probabilistic moment approach.