Regularization in 3D for anisotropic elastodynamic crack and obstacle problems. (English) Zbl 0773.73029

Summary: We propose 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.


74J20 Wave scattering in solid mechanics
74R99 Fracture and damage
74E10 Anisotropy in solid mechanics
45F15 Systems of singular linear integral equations
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