A peridynamic-based homogenization method to compute effective properties of periodic microstructure

The integral-differential governing equation gives peridynamics an advantage in conducting homogenization analysis that involves defects. The purpose of this research is to provide a novel homogenization modeling approach that utilizes ordinary state-based peridynamics to predict the elastic properties of periodic microstructures. The periodic boundary conditions are applied by coupling the displacement of prebuilt point pairs. Peridynamic differential operator is employed to determine the displacement gradient and stress field. And the volume average method is used to obtain the effective elastic properties. The present study introduces a new approach for determining the effective properties of micro-structured materials featuring defects in a periodic configuration.