Flexible and rapid animation of brittle fracture using the smoothed particle hydrodynamics formulation

摘要

This paper presents a hybrid animation approach to the flexible and rapid crack simulation of brittle material. At thenphysical level, the local stress tensors induced by collision are analyzed by using the smoothed particle hydrodynamicsn(SPH) formulation. Specifically, in order to determine the internal stress when rigid bodies collide with each other ornneighboring environments, we treat all of them as completely rigid body that has infinite stiffness and then evaluate virtualndisplacement for colliding particles. At the geometric level, in order to faithfully maintain the fracture interface during thencrack simulation, we utilize an efficient shape representation of solid based on the tetrahedral decomposition of the originalnsolid geometry. This novel hybrid approach resorts to local particle models, whose goal is to avoid heavy computationalnburden during crack interface updating and topological changing, and meanwhile, it facilitates the user-initiated interactivencontrol during the crack generation and propagation. Our animation experiments demonstrate the effectiveness of our novelnparticle-based method to simulate the crack of brittle material. Copyright © 2013 John Wiley & Sons, Ltd.