On the numerical convergence and performance of different spatial discretization techniques for transient elastodynamic wave propagation problems |
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Institution: | 1. State Key Lab of Structural Analysis for Industrial Equipment, Department of Engineering Mechanics, Dalian University of Technology, Dalian 116024, PR China;2. School of Civil and safety Engineering, Dalian Jiaotong University, Dalian 116028, PR China;1. Department of Civil Engineering, University of Duisburg–Essen, 45141 Essen, Germany;2. Department of Mechanical Engineering, Indian Institute of Technology Madras, Chennai - 600036, India;3. Lehrstuhl für Technische Mechanik, Technische Universität Kaiserslautern, 67663 Kaiserslautern, Germany;1. Department of Mechanical Engineering, McGill University, Macdonald Engineering Building, 817 Sherbrooke West, Montreal, QC H3A 0C3, Canada;2. GAUS, Department of Mechanical Engineering, Université de Sherbrooke, Sherbrooke, QC J1K 2R1, Canada |
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Abstract: | We present a systematic investigation of several discretization approaches for transient elastodynamic wave propagation problems. This comparison includes a Finite Difference, a Finite Volume, a Finite Element, a Spectral Element and the Scaled Boundary Finite Element Method. Numerical examples are given for simple geometries with normalized parameters, for heterogeneous materials as well as for structures with arbitrarily shaped material interfaces. General conclusions regarding the accuracy of the methods are presented. Based on the essential numerical examples an expansion of the results to a wide range of problems and thus to numerous fields of application is possible. |
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Keywords: | Finite Difference Method Elastodynamic Finite Integration Technique Finite Element Method Spectral Element Method Scaled Boundary Finite Element Method Wave propagation |
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