A hyper-singular numerical Green's function generation for BEM applied to dynamic SIF problems |
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| Affiliation: | 1. Department of Structures, Federal University of Juiz de Fora, Juiz de Fora, Brazil;2. Department of Civil Engineering, COPPE/Federal University of Rio de Janeiro, Cx. Postal 68506, 21945-970 Rio de Janeiro, RJ, Brazil;1. Graduate School of Natural Sciences, Nagoya City University, 1 Yamanohata, Mizuho-cho, Mizuho-ku, Nagoya, Aichi 467-8501, Japan;2. Graduate School of Bioscience and Biotechnology, Chubu University, 1200 Matsumoto-cho, Kasugai-shi, Aichi 487-8501, Japan;1. Sate Key Laboratory of Reliability and Intelligence of Electrical Equipment, Hebei University of Technology, Tianjin, China;2. School of Electronics and Information Engineering, Hebei University of Technology, Tianjin, China;3. Zhejiang University-UIUC Institute, Zhejiang University, Hangzhou, China;1. New York University, Courant Institute of Mathematical Sciences, United States;1. Institute of Applied Mechanics of Russian Academy of Sciences, Moscow, Russia;2. Moscow Aviation Institute, Moscow, Russia;3. Lomonosov Moscow State University, Russia |
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| Abstract: | This paper introduces the extension of the numerical Green's function approach for elastodynamic fracture mechanics problems. The formulation uses the hyper-singular boundary integral equation to obtain the fundamental solution for the cracked unbounded medium. The procedure is general and can be applied to multiple crack problems of general geometry. Applications to time harmonic and transient (through inverse numerical Fourier and Laplace transforms) stress intensity factor (SIF) computations are presented and compared with other numerical and analytical results, showing the good accuracy of the present strategy for these kinds of problems. |
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