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Anisotropic Elastoplasticity for Cloth, Knit and Hair Frictional Contact
This paper introduces an anisotropic elastoplastic constitutive model that resolves frictional contact for codimensional materials such as cloth, knit, and hair within a continuum simulation.
Abstract
This paper introduces an anisotropic elastoplastic constitutive model that resolves frictional contact for codimensional materials such as cloth, knit, and hair within a continuum simulation. The model is discretized with the Material Point Method using a novel return mapping and update of the deformation gradient that enforces Coulomb friction across the codimensional manifold. The approach handles dense self-contact and inter-object contact, simulating scenarios with up to roughly one million degrees of freedom.
How to read this
- Category
- Method: an anisotropic elastoplastic model for codimensional frictional contact
- Contributions
- An anisotropic elastoplastic constitutive model resolving frictional contact for codimensional materials (cloth, knit, hair) within a continuum simulation
- A Material Point Method discretization with a novel return mapping and deformation-gradient update that enforces Coulomb friction across the codimensional manifold
- Handles dense self-contact and inter-object contact, simulating scenarios up to roughly one million degrees of freedom
- Context
- Extends continuum (MPM) simulation to thin and yarn-level structures, relating to yarn-level cloth modeling (Cirio et al., Yarn-Level Simulation of Woven Cloth) by treating contact via plasticity rather than explicit collision handling.Builds on: Yarn-Level Simulation of Woven Cloth
- Correctness
- Demonstrated on dense-contact cloth/knit/hair scenes at large degree-of-freedom counts; friction is modeled through an elastoplastic return mapping (an approximation of Coulomb contact), so physical accuracy and compute cost at scale are points a reader should weigh.
- Clarity
- Mathematically heavy; a first pass conveys the codimensional-friction-via-plasticity idea, with the constitutive model and return mapping needing later passes.
- How to read it
- First pass for the high-level idea of encoding frictional contact as anisotropic plasticity in MPM; reserve second and third passes for the return mapping and deformation-gradient update if you work in continuum simulation.
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Related work
- An Implicit Frictional Contact Solver for Adaptive Cloth Simulation 2018 / SIGGRAPH
- Gravity Preloading for Maintaining Hair Shape Using the Simulator as a Closed-Box Function 2022 / SIGGRAPH
- Scriptable Character FX Solution 2019 / DigiPro
- Codimensional Incremental Potential Contact 2021 / SIGGRAPH
Keywords
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