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High fidelity simulation of corotational linear FEM for incompressible materials

Published: 28 October 2019 Publication History

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.

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Cited By

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  • (2021)A Constraint-based Formulation of Stable Neo-Hookean MaterialsProceedings of the 14th ACM SIGGRAPH Conference on Motion, Interaction and Games10.1145/3487983.3488289(1-7)Online publication date: 10-Nov-2021
  • (2021)Locking-Proof TetrahedraACM Transactions on Graphics10.1145/344494940:2(1-17)Online publication date: 21-Apr-2021
  1. High fidelity simulation of corotational linear FEM for incompressible materials

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    MIG '19: Proceedings of the 12th ACM SIGGRAPH Conference on Motion, Interaction and Games
    October 2019
    329 pages
    ISBN:9781450369947
    DOI:10.1145/3359566
    Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

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    Publication History

    Published: 28 October 2019

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    Author Tags

    1. corotational elasticity
    2. incompressibility
    3. mixed finite element

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    MIG '19: Motion, Interaction and Games
    October 28 - 30, 2019
    Newcastle upon Tyne, United Kingdom

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    View all
    • (2021)A Constraint-based Formulation of Stable Neo-Hookean MaterialsProceedings of the 14th ACM SIGGRAPH Conference on Motion, Interaction and Games10.1145/3487983.3488289(1-7)Online publication date: 10-Nov-2021
    • (2021)Locking-Proof TetrahedraACM Transactions on Graphics10.1145/344494940:2(1-17)Online publication date: 21-Apr-2021

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