Abstract
AbstractIn this paper we present a novel time-domain boundary element method (BEM) for dynamic crack analysis in two-dimensional (2-D) linear elastic and layered anisotropic materials. Stationary cracks subjected to impact loading are considered. The homogeneous layers are considered by the multi-domain BEM formulation. On the external boundary and the interfaces, the classical displacement boundary integral equations are used, while the hypersingular traction boundary integral equations are applied on the crack-faces inside the homogeneous layers. The time-domain elastodynamic fundamental solutions for anisotropic solids are used in the present method. The spatial discretization is performed by a Galerkin-method while a collocation method is adopted for the temporal discretization. An explicit time-stepping scheme is developed to compute the discrete boundary data and the crack-opening-displacements.
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