An Incompressible Crack Model for Volume Preserving MPM Fracture

This paper proposes a novel method to simulate the dynamic fracture effect of elastoplastic objects. Our method is based on the continuum damage mechanics (CDM) theory and uses the material point method (MPM) to discretize the governing equations. Our proposed approach distinguishes itself from previous works by incorporating a novel method for modeling decohesion, which preserves the incompressibility of the cracks. In contrast to existing methods that rely on material stiffness degradation, our approach leverages carefully crafted constitutive models for both fully and partially damaged materials. We further introduce a novel granular material model that effectively captures the physical behavior of fully damaged debris. This is augmented by a volume-aware deformation gradient tensor designed to evaluate and stabilize material expansion. We conduct a comprehensive evaluation of our proposed method on multiple dynamic fracturing scenarios and demonstrate its effectiveness in producing visually richer and more realistic behaviors compared to previous state-of-the-art MPM approaches.