Numerical investigations of effective properties of fiber reinforced composites with parallelogram arrangements and imperfect interface

In this paper unidirectional fiber composites with imperfect interface conditions between the reinforcement and the filler are considered. The microstructure is periodic and the phases have isotropic properties. The periodicity of the microstructure is characterized by a parallelogram. Using the concept of a representative volume element (RVE) a finite element model is developed, in which the distribution of fibers and imperfect contact conditions between interfaces of phases can vary. Applying appropriate periodic boundary conditions to the chosen RVE effective material properties are derived, where those are related to a predefined coordinate system. The homogenization technique is validated by comparing results to literature as far as possible.