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Continuum-based Strain Limiting

Bernhard Thomaszewski, Simon Pabst, Wolfgang Blochinger

EurographicsDisney Research123 cites1 descendantCFX

Continuum-based strain limiting for cloth simulation that prevents over-stretching while maintaining simulation stability and physical plausibility.

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Abstract

We present Continuum‐based Strain Limiting (CSL), a new method for limiting deformations in physically‐based cloth simulations. Despite recent developments for nearly inextensible materials, the efficient simulation of general biphasic textiles and their anisotropic behavior remains challenging. Many approaches use soft materials and enforce limits on edge elongations, leading to discretization‐dependent behavior. Moreover, they offer no explicit control over shearing and stretching unless specifically aligned meshes are used. Based on a continuum deformation measure, our method allows accurate control over all strain components using individual thresholds. We impose deformation limits element‐wise and cast the problem as a 6×6 system of linear equations. CSL can be combined with any cloth simulator and, as a velocity filter, integrates seamlessly into standard collision handling.

How to read this

Category: Method: a strain-limiting technique for cloth
Contributions: Continuum-based Strain Limiting (CSL), a continuum deformation measure giving accurate control over all strain components with individual thresholds
Element-wise deformation limits cast as a 6x6 linear system, enabling explicit control of shearing and stretching without specially aligned meshes
A velocity-filter formulation that combines with any cloth simulator and integrates into standard collision handling
Context: Builds on Baraff and Witkin's Large Steps in Cloth Simulation and improves on edge-elongation strain limiting, whose discretization-dependent behavior it aims to remove.Builds on: Large Steps in Cloth Simulation
Correctness: The method assumes a continuum deformation measure per element and operates as a velocity filter; it targets general biphasic, anisotropic textiles, so a reader should note that benefits over edge-based limits are clearest where mesh-dependence and shear control matter.
Clarity: Accessible to readers with cloth-simulation background; a first pass conveys why continuum strain beats edge limits, a second pass for the 6x6 element formulation.
How to read it: Focus on the continuum-versus-edge framing and the per-component thresholds; a second pass on the 6x6 system and velocity-filter integration is worthwhile if you maintain a cloth solver.

Builds on

Large Steps in Cloth Simulation 1998

Built upon by

Multi-Resolution Isotropic Strain Limiting 2010

Related work

Efficient Simulation of Inextensible Cloth 2007 / SIGGRAPH
Multi-Resolution Isotropic Strain Limiting 2010 / SIGGRAPH Asia
Physics-Inspired Upsampling for Cloth Simulation in Games 2021 / SIGGRAPH
Adaptive Anisotropic Remeshing for Cloth Simulation 2012 / SIGGRAPH Asia

Keywords

cloth simulation strain limiting continuum-based deformation anisotropic materials biphasic textiles finite elements corotational strain collision handling warp weft shear mesh deformation deformation constraints

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