Homogenization of periodic microstructure based on representative volume element using improved bond-based peridynamics

In this paper, a homogenization method based on peridynamics is proposed, in which the rotation effect of bond is considered and the limitation of Poisson's ratio is overcome. Integral form is used as governing equation instead of differential form in peridynamics, so that it is suitable to conduct homogenization analysis involving defects. Two algorithms, general algorithm and simplified algorithm, are used to homogenize periodic materials in this study. Equivalent material properties are obtained from the displacement gradient tensor. The results are in good agreement with those of other homogenization methods. This method can also be applied to homogenize periodic materials with defects. The defects such as cracks and pores of materials are realized by breaking the bonds between material points. Through this study, a new method for calculating the equivalent properties of materials with defects can be provided.