Peridynamics for failure prediction in variable angle tow composites

This study presents a peridynamic (PD) approach to model progressive failure in fiber steered composites. The force density vectors in the PD equation of motion are derived explicitly for in-plane, transverse normal and transverse shear deformations in terms of the engineering material constants. The PD bonds enable the interaction of material points within each ply as well as their interaction with other material points in the adjacent plies. The PD equilibrium equation is solved by employing implicit techniques in an iterative form to account for damage progression based on the Hashin failure criteria for in-ply bonds and critical energy density release rate for inter-ply bonds. The capability of this approach is demonstrated by considering a lamina and two different variable tow angle laminates with a circular cutout under tension. It captures the correct deformation field as well as the damage initiation site and its progressive growth.