Drucker-prager elastoplasticity for sand animation

Abstract

We simulate sand dynamics using an elastoplastic, continuum assumption. We demonstrate that the Drucker-Prager plastic flow model combined with a Hencky-strain-based hyperelasticity accurately recreates a wide range of visual sand phenomena with moderate computational expense. We use the Material Point Method (MPM) to discretize the governing equations for its natural treatment of contact, topological change and history dependent constitutive relations. The Drucker-Prager model naturally represents the frictional relation between shear and normal stresses through a yield stress criterion. We develop a stress projection algorithm used for enforcing this condition with a non-associative flow rule that works naturally with both implicit and explicit time integration. We demonstrate the efficacy of our approach on examples undergoing large deformation, collisions and topological changes necessary for producing modern visual effects.

Document Details

Document Type
Pub Defense Publication
Publication Date
Jul 11, 2016
Source ID
10.1145/2897824.2925906

Entities

People

  • Andre Pradhana
  • Chenfanfu Jiang
  • Chuyuan Fu
  • Craig Schroeder
  • Gergely Klár
  • Joseph Teran
  • Theodore Gast

Organizations

  • National Science Foundation
  • Office of Naval Research
  • United States Department of Defense
  • University of California, Los Angeles

Tags

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Marine Hydrodynamics
  • Materials Science (Mechanical Engineering).