High fidelity simulation of corotational linear FEM for incompressible materials

Mihai Frâncu, Arni Asgeirsson, Kenny Erleben

    Abstract

    We present a novel method of simulating incompressible materials undergoing large deformation without locking artifacts. We apply it for simulating silicone soft robots with a Poisson ratio close to 0.5. The new approach is based on the mixed finite element method (FEM) using a pressure-displacement formulation; the deviatoric deformation is still handled in a traditional fashion. We support large deformations without volume increase using the corotational formulation of linear elasticity. Stability is ensured by an implicit integration scheme which always reduces to a sparse linear system. For even more deformation accuracy we support higher order simulation through the use of Bernstein-Bézier polynomials.

    Original languageEnglish
    Title of host publicationProceedings - MIG 2019 : ACM Conference on Motion, Interaction, and Games
    EditorsStephen N. Spencer
    Number of pages6
    PublisherAssociation for Computing Machinery
    Publication date28 Oct 2019
    Article numbera28
    ISBN (Electronic)9781450369947
    DOIs
    Publication statusPublished - 28 Oct 2019
    Event2019 ACM Conference on Motion, Interaction, and Games, MIG 2019 - Newcastle upon Tyne, United Kingdom
    Duration: 28 Oct 201930 Oct 2019

    Conference

    Conference2019 ACM Conference on Motion, Interaction, and Games, MIG 2019
    Country/TerritoryUnited Kingdom
    CityNewcastle upon Tyne
    Period28/10/201930/10/2019
    SponsorACM SIGGRAPHGeneral

    Keywords

    • Corotational elasticity
    • Incompressibility
    • Mixed finite element

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