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Regularization in 3D for anisotropic elastodynamic crack and obstacle problems
Authors:Eliane Becache  Jean-Claude Nedelec  Naoshi Nishimura
Institution:(1) Ecole Polytechnique, CMAP, 91128 Palaiseau Cedex, France;(2) Department of Civil Engineering, Kyoto University, 606 Kyoto, Japan
Abstract:We propose, in this paper, a unified method of generating a regularized integral equation in the double layer potential approach for 3D anisotropic elastodynamics. Our regularization preserves the causality in the time-domain. The method is based on a special decomposition of the hypersingular kernel which appears in the integral representation of the stress tensor.
Keywords:45F15  73D25  73C30
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