Time domain boundary elements for elastodynamic contact

被引：5
|
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.
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页数：26
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