Modelling crack propagation in particle-reinforced composites using the element-free galerkin method

In this work, a novel approach to predict the path of crack propagation through particle-reinforced composites is presented. Simulations are based on the Element-Free Galerkin (EFG) method and linear elastic fracture mechanics (LEFM). A modified interaction integral, suitable for heterogeneous materials, was used to obtain the stress intensity factors (SIFs). The maximum tangential principal stress (MTPS) criterion was used to determine the instantaneous direction of crack propagation. Crack extension paths and variation of energy release rates (ERRs) during the propagation are presented. Thereby issues such as the interaction of the crack with inclusions during its extension, crack tip shielding and stress amplification are resolved. While the crack meanders near the particle, the ERRs are observed to be affected even if the crack tip is located at a larger distance from the particle. © QinetiQ Ltd 2013.