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

Abstract

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

Particle Coding for Meshfree Cutting of Deformable Assets

“…Using dynamics re-sampling, they were able to handle multiple branching and merging of cracks. Chen et al [4] used a hybrid animation approach for rapid crack simulation with SPH. They treat all bodies as rigid assets to determine internal stresses and calculated virtual displacement for colliding particles, and local stress was calculated using the SPH approach.…”

Fracture Patterns Design for Anisotropic Models with the Material Point Method

“…Wolper et al [WFL*19] proposed an augmented MPM adopting continuum damage mechanics (CDM) and phase-field theory for animating dynamic fracture. There are also some other meshless methods for fracture animation, e.g., smoothed particle hydrodynamics (SPH) [CWXQ13], meshless local Petrov-Galerkin (MLPG) [LHLW11] and clustered shape matching [JML*16]. However, most of the aforementioned methods simulate the fracture of isotropic materials.…”

A Novel Plastic Phase‐Field Method for Ductile Fracture with GPU Optimization

“…Also, BEM [Ali97, HW16, HW15] was adopted to present the details of crack surface for the brittle fracture phenomena. In addition, researchers also focused on the meshfree approaches such as MLS‐based method [MG04], SPH method [CWXQ13, LWQ15], MPM [SSC*13], and level set method [HJST13]. Recently, Wang et al [WDG*19] applied the softening yield criterion based on MPM and proposed a visualization scheme for rendering the crack surface.…”

“…However, the mesh‐based techniques usually suffer from the time‐consuming re‐meshing process when severe deformation is unavoidable. Moreover, some graphics researchers introduced meshless methods such as smoothed particle hydrodynamics (SPH) [CWXQ13, LWQ15]. But due to the lack of physics‐accurate constraints, it remains challenging for SPH to deal with elastic‐plastic responses in a stable and robust way.…”