Time domain boundary elements for elastodynamic contact

被引：6

作者：

Aimi, Alessandra ^{[1
]}

Di Credico, Giulia ^{[1
,2
]}

Gimperlein, Heiko ^{[2
]}

机构：

[1] Univ Parma, Dept Math Phys & Comp Sci, Parco Area Sci 53-A, I-43124 Parma, Italy

[2] Univ Innsbruck, Engn Math, Innsbruck, Austria

来源：

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING | 2023年 / 415卷

关键词：

Boundary element methods; Space-time methods; Signorini contact problem; Variational inequality; Elastodynamics; INTEGRAL-EQUATIONS; WAVE-PROPAGATION; SPACE; FORMULATION; BEM;

D O I：

10.1016/j.cma.2023.116296

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

This article proposes a boundary element method for the dynamic contact between a linearly elastic body and a rigid obstacle. The Signorini contact problem is formulated as a variational inequality for the Poincare-Steklov operator for the elastodynamic equations on the boundary, which is solved in a mixed formulation using boundary elements in the time domain. We obtain an a priori estimate for the resulting Galerkin approximations. Numerical experiments confirm the stability and convergence of the proposed method for the contact problem in fiat and curved two-dimensional geometries, as well as for moving obstacles. & COPY; 2023 Elsevier B.V. All rights reserved.

引用

页数：26

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