Meso-Scale Modeling for Effective Properties in Continuous Fiber-Reinforced Composites by State-Based Peridynamics

This study demonstrates a homogenization approach via a modified state-based peridynamic (PD) method to predict the effective elastic properties of composite materials with periodic microstructure. The procedure of modeling the PD unit cell (UC) of continuous fiber-reinforced composite is presented. Periodic boundary conditions are derived and implemented through the Lagrange multiplier method. A matrix-dominated approach for modeling the interphase properties between dissimilar materials is proposed. The periodicity and continuity assumptions are employed to determine the stress and strain fields, as well as the effective elastic properties. The PD-UCs of square and hexagonal packs as well as the 0/90 laminate microstructure are modeled and compared with the analytical, numerical and experimental results from the literature. Good agreement of predicted effective properties can be observed. Unlike other PD homogenization approaches, the effective material properties can be directly and individually obtained from simple loading conditions.