Time domain boundary elements for elastodynamic contact
arXiv:2307.09910 · doi:10.1016/j.cma.2023.116296
Abstract
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 Poincaré-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 flat and curved two-dimensional geometries, as well as for moving obstacles.
arXiv comment29 pages, 17 figures, to appear in Computer Methods in Applied Mechanics and Engineering
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