Simulation and Visualization of Ductile Fracture with the Material Point Method

Описание: We present novel techniques for simulating and visualizing ductile fracture with the Material Point Method (MPM). We utilize traditional particle-based MPM [Stomakhin et al. 2013; Sulsky et al. 1994] as well as the Lagrangian energy formulation of [Jiang et al. 2015] that utilizes a tetrahedron mesh, rather than particle-based estimation of the deformation gradient and potential energy. We model failure and fracture via elastoplasticity with damage. Material is elastic until its deformation exceeds a Rankine or von Mises yield condition, at which point we use a softening model that shrinks the yield surface until a damage threshold is reached. Once damaged, the material Lamé coefficients are modified to represent failed material. We design visualization techniques for rendering the boundary of the material and its intersections with evolving crack surfaces.

Authors:
STEPHANIE WANG, University of California – Los Angeles
MENGYUAN DING, University of California – Los Angeles
THEODORE F. GAST, JIXIE EFFECTS
LEYI ZHU, University of Science and Technology of China
STEVEN GAGNIERE, University of California – Los Angeles
CHENFANFU JIANG, University of Pennsylvania
JOSEPH M. TERAN, University of California – Los Angeles