Asynchronous contact mechanics

  • Authors:
  • David Harmon;Etienne Vouga;Breannan Smith;Rasmus Tamstorf;Eitan Grinspun

  • Affiliations:
  • Columbia University;Columbia University;Columbia University;Walt Disney Animation Studios;Columbia University

  • Venue:
  • ACM SIGGRAPH 2009 papers
  • Year:
  • 2009

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Abstract

We develop a method for reliable simulation of elastica in complex contact scenarios. Our focus is on firmly establishing three parameter-independent guarantees: that simulations of well-posed problems (a) have no interpenetrations, (b) obey causality, momentum- and energy-conservation laws, and (c) complete in finite time. We achieve these guarantees through a novel synthesis of asynchronous variational integrators, kinetic data structures, and a discretization of the contact barrier potential by an infinite sum of nested quadratic potentials. In a series of two- and three-dimensional examples, we illustrate that this method more easily handles challenging problems involving complex contact geometries, sharp features, and sliding during extremely tight contact.