Peridynamics‐Based Fracture Animation for Elastoplastic Solids

Abstract

In this paper, we exploit the use of peridynamics theory for graphical animation of material deformation and fracture. We present a new meshless framework for elastoplastic constitutive modelling that contrasts with previous approaches in graphics. Our peridynamics‐based elastoplasticity model represents deformation behaviours of materials with high realism. We validate the model by varying the material properties and performing comparisons with finite element method (FEM) simulations. The integral‐based nature of peridynamics makes it trivial to model material discontinuities, which outweighs differential‐based methods in both accuracy and ease of implementation. We propose a simple strategy to model fracture in the setting of peridynamics discretization. We demonstrate that the fracture criterion combined with our elastoplasticity model could realistically produce ductile fracture as well as brittle fracture. Our work is the first application of peridynamics in graphics that could create a wide range of material phenomena including elasticity, plasticity, and fracture. The complete framework provides an attractive alternative to existing methods for producing modern visual effects.

A Review of Benchmark Experiments for the Validation of Peridynamics Models

“…Levine et al [78] reported that as in most physics-based animation methods, tuning parameters can be a tedious task. Chen et al [22] used state-based PD for the animation of fractures in elastoplastic solids. Chen et al [22] visualized the isotropic brittle, anisotropic brittle, isotropic ductile, and anisotropic ductile fracture behavior of a sphere travelling through a wall.…”

Integrating Peridynamics with Material Point Method for Elastoplastic Material Modeling

“…Based on previous hybrid grid and particle modeling method, Stomakhin [21] incorporated energetically consistent invertible elasticity model into MPM for modeling snow varying phase effects. Recently, Chen [3] presented a novel elastoplastic constitutive model to handle brittle fracture and ductile fracture in peridynamics-based framework. At the same time, many researchers focused on developing the real time and haptic simulator.…”

“…He revisited brittle fracture studies by characterizing peridynamics as spring-mass systems. Currently, most research [3][6] focused on how to reformulate elastic constitutive models and produce persuasive effects. However, the theoretical equivalence of peridynamics compared to continuum mechanics remains unclear [28].…”

“…Singularity issues can be overcome easily without any extra efforts. Our plastic model is purely from deviatoric plastic flow [3]…”

“…The dynamics with discontinuities is straightforward to compute in our MPM framework. If we simply remove over-deformed bonds like [3], it leads to numerous small fragments in deformed area rather than several crack lines after collision happens. We now propose to generate crack cut by fracture plane based on analyses of single point and global deformation status in gird cell.…”