A 2D time-domain BEM for transient wave scattering analysis by a crack in anisotropic solids |
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| Affiliation: | 1. Department of Civil Engineering, Tokyo Institute of Technology, Tokyo 152-8552, Japan;2. Department of Mechanical and Environmental Informatics, Tokyo Institute of Technology, Tokyo 152-8552, Japan;3. Department of Civil Engineering, University of Siegen, D-57068 Siegen, Germany;4. Mathematics and Modeling Department, Schlumberger-Doll Research, Ridgefield, CT 06877-4108, USA;1. School of Traffic and Transportation Engineering, Central South University, Changsha 410075, China;2. Joint International Research Laboratory of Key Technology for Rail Traffic Safety, Changsha 410075, China;3. National & Local Joint Engineering Research Center of Safety Technology for Rail Vehicle, Changsha 410075, China;1. Department of Pediatrics, Kasr Al Ainy Hospital, Cairo University, Cairo, Egypt;2. Department of Clinical Pathology, Kasr Al Ainy Hospital, Cairo University, Cairo, Egypt;1. Institut für Werkstofftechnik, Universität Siegen, 57068, Germany;2. Institut für Werkstoffwissenschaft, TU Dresden, 01062, Germany;3. Department Mathematik, Universität Siegen, 57068, Germany;1. Fraunhofer-Institut für Zerstörungsfreie Prüfverfahren IZFP, Campus E3.1, 66123 Saarbrücken, Germany;2. Parts of this work were elaborated at Fraunhofer-Institut für Techno- und Wirtschaftsmathematik, Kaiserslautern, Germany;3. Saarbrücken, Germany;1. Division of Scientific Computing, Department of Information Technology, Uppsala University, P.O. Box 337, SE-75105 Uppsala, Sweden;2. Laboratoire de Mécanique et d''Acoustique, UPR 7051 CNRS, 31 chemin Joseph Aiguier, 13402 Marseille, France;3. Centrale Marseille, M2P2, UMR 7340 – CNRS, Aix-Marseille Univ., 13451 Marseille, France |
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| Abstract: | A two-dimensional (2D) time-domain boundary element method (BEM) is presented in this paper for transient analysis of elastic wave scattering by a crack in homogeneous, anisotropic and linearly elastic solids. A traction boundary integral equation formulation is applied to solve the arising initial-boundary value problem. A numerical solution procedure is developed to solve the time-domain boundary integral equations. A collocation method is used for the temporal discretization, while a Galerkin-method is adopted for the spatial discretization of the boundary integral equations. Since the hypersingular boundary integral equations are first regularized to weakly singular ones, no special integration technique is needed in the present method. Special attention of the analysis is devoted to the computation of the scattered wave fields. Numerical examples are given to show the accuracy and the reliability of the present time-domain BEM. The effects of the material anisotropy on the transient wave scattering characteristics are investigated. |
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