A finite deformation framework for mechanism-based constitutive models of the dynamic behavior of brittle materials

A finite deformation mechanism-based thermodynamically consistent constitutive framework is presented for describing the dynamic behaviors of brittle materials under impact loading. The developed based upon a multiplicative decomposition gradient in terms multiple mechanisms, including recoverable elasticity, crack-induced damage, and other inelastic mechanisms such as subgrain granular plasticity. kinematics that captures structured within framework, consequent coupling various articulated. Specific equations are formulated Mie–Grüneisen equation state, micromechanics-based dynamic-fracture-induced damage growth, or lattice plasticity slip modes, flow pore collapse post-fragmentation. Using hot-pressed silicon carbide (SiC-N) model material, this integrative calibrated using available experiments interrogate specific mechanisms. effects loading rate, influence confinement, path-dependent material predicted by demonstrated. performance at application scale then evaluated simulating previously performed sphere-on-cylinder experiments.