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Frictional Contact on Smooth Elastic Solids

Egor Larionov, Ye Fan, Dinesh K. Pai

TOG14 citesCFX

This paper resolves frictional contact between deformable elastic objects against smooth implicit surface representations instead of polygonal meshes, which lack a consistent inside-outside partition

Abstract

This paper resolves frictional contact between deformable elastic objects against smooth implicit surface representations instead of polygonal meshes, which lack a consistent inside-outside partition and a smooth near-surface distance field. The authors augment a moving least squares implicit surface with a local contact kernel and develop a parallel transport approximation that transfers frictional impulses across the deforming surface. The resulting formulation produces robust, artifact-free contact and friction response for elastic solids.

How to read this

Category
Method: frictional contact for deformable solids against implicit surfaces
Contributions
  • Resolves frictional contact between deformable elastic objects and smooth implicit surfaces rather than polygonal meshes
  • Augments a moving least squares implicit surface with a local contact kernel
  • Develops a parallel transport approximation to transfer frictional impulses across the deforming surface
Context
Part of the physics-based contact and friction lineage for deformables, related to implicit frictional contact solvers such as Li et al.'s adaptive cloth work.Builds on: An Implicit Frictional Contact Solver for Adaptive Cloth Simulation
Correctness
The approach relies on a smooth implicit surface providing a consistent inside-outside partition and near-surface distance field; results are shown as robust, artifact-free elastic contact, but reliance on the MLS surface representation and the parallel-transport approximation are the assumptions to keep in mind.
Clarity
Technically dense (TOG); a first pass conveys the motivation, a second and likely third pass are needed for the formulation.
How to read it
Focus first on why implicit surfaces are chosen over meshes; do a careful second/third pass on the contact kernel and parallel-transport derivation if you intend to implement or extend it.

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