Energy-consistent corotational schemes for frictional contact problems

P. Hauret; J. Salomon; A. A. Weiss; B. I. Wohlmuth

doi:10.1137/070687827

Energy-consistent corotational schemes for frictional contact problems

P. Hauret, J. Salomon, A. A. Weiss, B. I. Wohlmuth

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

In this paper, we consider the unilateral frictional contact problem of a hyperelastic body in the case of large displacements and small strains. In order to retain the linear elasticityframework, we decompose the deformation into a large global rotation and a small elastic displacement. This corotational approach is combined with a primal-dual active set strategy to tackle the contact problem. The resulting algorithm preserves both energy and angular momentum.

Original language	English
Pages (from-to)	2488-2511
Number of pages	24
Journal	SIAM Journal on Scientific Computing
Volume	30
Issue number	5
DOIs	https://doi.org/10.1137/070687827
State	Published - 2007
Externally published	Yes

Keywords

Active set strategy
Contact problem
Corotational formulation
Elastodynamic
Energy conservative schemes
Large displacements
Small strains

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10.1137/070687827

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abstract = "In this paper, we consider the unilateral frictional contact problem of a hyperelastic body in the case of large displacements and small strains. In order to retain the linear elasticityframework, we decompose the deformation into a large global rotation and a small elastic displacement. This corotational approach is combined with a primal-dual active set strategy to tackle the contact problem. The resulting algorithm preserves both energy and angular momentum.",

keywords = "Active set strategy, Contact problem, Corotational formulation, Elastodynamic, Energy conservative schemes, Large displacements, Small strains",

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AU - Salomon, J.

AU - Weiss, A. A.

AU - Wohlmuth, B. I.

PY - 2007

Y1 - 2007

N2 - In this paper, we consider the unilateral frictional contact problem of a hyperelastic body in the case of large displacements and small strains. In order to retain the linear elasticityframework, we decompose the deformation into a large global rotation and a small elastic displacement. This corotational approach is combined with a primal-dual active set strategy to tackle the contact problem. The resulting algorithm preserves both energy and angular momentum.

AB - In this paper, we consider the unilateral frictional contact problem of a hyperelastic body in the case of large displacements and small strains. In order to retain the linear elasticityframework, we decompose the deformation into a large global rotation and a small elastic displacement. This corotational approach is combined with a primal-dual active set strategy to tackle the contact problem. The resulting algorithm preserves both energy and angular momentum.

KW - Active set strategy

KW - Contact problem

KW - Corotational formulation

KW - Elastodynamic

KW - Energy conservative schemes

KW - Large displacements

KW - Small strains

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JF - SIAM Journal on Scientific Computing

IS - 5

ER -

Energy-consistent corotational schemes for frictional contact problems

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Keywords

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