High fidelity simulation of corotational linear FEM for incompressible materials

Mihai Frâncu; Arni Asgeirsson; Kenny Erleben

doi:10.1145/3359566.3360079

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

Originalsprog	Engelsk
Titel	Proceedings - MIG 2019 : ACM Conference on Motion, Interaction, and Games
Redaktører	Stephen N. Spencer
Antal sider	6
Forlag	Association for Computing Machinery
Publikationsdato	28 okt. 2019
Artikelnummer	a28
ISBN (Elektronisk)	9781450369947
DOI	https://doi.org/10.1145/3359566.3360079
Status	Udgivet - 28 okt. 2019
Begivenhed	2019 ACM Conference on Motion, Interaction, and Games, MIG 2019 - Newcastle upon Tyne, Storbritannien Varighed: 28 okt. 2019 → 30 okt. 2019

Konference

Konference	2019 ACM Conference on Motion, Interaction, and Games, MIG 2019
Land/Område	Storbritannien
By	Newcastle upon Tyne
Periode	28/10/2019 → 30/10/2019
Sponsor	ACM SIGGRAPHGeneral

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High fidelity simulation of corotational linear FEM for incompressible materials. / Frâncu, Mihai; Asgeirsson, Arni; Erleben, Kenny.

Proceedings - MIG 2019: ACM Conference on Motion, Interaction, and Games. red. / Stephen N. Spencer. Association for Computing Machinery, 2019. a28.

Publikation: Bidrag til bog/antologi/rapport › Konferencebidrag i proceedings › Forskning › peer review

Frâncu, M, Asgeirsson, A & Erleben, K 2019, High fidelity simulation of corotational linear FEM for incompressible materials. i SN Spencer (red.), Proceedings - MIG 2019: ACM Conference on Motion, Interaction, and Games., a28, Association for Computing Machinery, 2019 ACM Conference on Motion, Interaction, and Games, MIG 2019, Newcastle upon Tyne, Storbritannien, 28/10/2019. https://doi.org/10.1145/3359566.3360079

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title = "High fidelity simulation of corotational linear FEM for incompressible materials",

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-B{\'e}zier polynomials.",

keywords = "Corotational elasticity, Incompressibility, Mixed finite element",

author = "Mihai Fr{\^a}ncu and Arni Asgeirsson and Kenny Erleben",

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language = "English",

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N2 - 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.

AB - 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.

KW - Corotational elasticity

KW - Incompressibility

KW - Mixed finite element

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U2 - 10.1145/3359566.3360079

DO - 10.1145/3359566.3360079

M3 - Article in proceedings

BT - Proceedings - MIG 2019

A2 - Spencer, Stephen N.

PB - Association for Computing Machinery

T2 - 2019 ACM Conference on Motion, Interaction, and Games, MIG 2019

Y2 - 28 October 2019 through 30 October 2019

ER -

High fidelity simulation of corotational linear FEM for incompressible materials

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