Three-dimensional steady state Green function for a layered isotropic plate |
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| Institution: | 1. Department of Civil Engineering, Faculty of Engineering, University of Manitoba, Winnipeg, Man., Canada R3T 5V6;2. Integrated Engineering Software, Winnipeg, Man., Canada R3H 0X4;1. College of Civil Engineering and Architecture, Zhejiang University, Yuhangtang Road 866#, Hangzhou 310058, People?s Republic of China;2. School of Civil and Environmental Engineering, Nanyang Technological University, 50 Nanyang Avenue, Singapore 639798, Singapore;3. Department of Civil & Environmental Engineering, Imperial College London, London SW7 2AZ, United Kingdom;1. School of Civil Engineering, University of Birmingham, B15 2TT, United Kingdom;2. Faculty of Engineering and Built Environment, Universiti Kebangsaan Malaysia, 43600, Malaysia;1. Faculty of Dentistry, Tripoli University, Tripoli, Libya;2. Department of Oral Medicine, Periodontology, Radiology and Diagnosis, Faculty of Dentistry, Ain Shams University, Cairo, Egypt;1. Graduate Program in Endodontics, Faculty of Dentistry, University of Toronto, Toronto, Ontario, Canada;2. Graduate Program in Oral and Maxillofacial Radiology, Faculty of Dentistry, University of Toronto, Toronto, Ontario, Canada;1. School of Civil Engineering, College of Engineering, University of Tehran, P.O.Box 11165-4563, Tehran, Iran;2. Department of Civil Engineering, Mazandaran University of Science and Technology, Babol, Iran;1. DICAM Department, University of Bologna, Bologna, Italy;2. DESD Department, University of San Marino, San Marino;3. DIEF Department, University of Modena and Reggio Emilia, Modena, Italy |
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| Abstract: | The elastodynamic response of a layered isotropic plate to a source point load having an arbitrary direction is studied in this paper. A decomposition technique is developed within each homogeneous isotropic lamina to simplify the general three-dimensional plane-wave propagation problem as a separate plane-strain problem and an anti-plane-wave propagation problem. The accuracy of computation is assured by cross-checking the numerical results by different methods. Results are checked numerically for a vertical point load acting on a homogeneous and a layered plate by using a hybrid method. On the other hand, results are checked for a horizontal point load by using dynamic reciprocal identities. Results are presented for both a homogeneous as well as a layered plate. |
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