Rayleigh wave motions in an orthotropic half-space under time-harmonic loadings: A theoretical study |
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| Institution: | 1. Faculty of Civil Engineering, HCMC University of Technology and Education, Vietnam;2. Institute of Theoretical and Applied Research, Duy Tan University, Hanoi 100000, Vietnam;3. Faculty of Civil Engineering, Duy Tan University, Danang 550000, Vietnam;4. Graduate University of Science and Technology, VAST, Vietnam;5. Faculty of Mathematics, Mechanics and Informatics, Hanoi University of Science, Vietnam;6. School of Mechanical Engineering, Changwon National University, South Korea;7. Department of Civil and Environmental Engineering, Tokyo Institute of Technology, Japan;1. Department of Computational Mathematics, Oles Honchar Dnipro National University, Gagarin Av., 72, Dnipro 49010, Ukraine;2. Department of Theoretical and Computational Mechanics, Oles Honchar Dnipro National University, Gagarin Av., 72, Dnipro 49010, Ukraine;3. Université Clermont Auvergne, CNRS, SIGMA Clermont (ex- French Institute of Advanced Mechanics), Institut Pascal, Campus de Clermont-Ferrand, 63178 Aubière, France;1. Department of Civil and Environmental Engineering, Faculty of Engineering, University of Lagos, 100213, Nigeria;2. Department of Mechanical Engineering, Faculty of Engineering, University of Lagos, 100213, Nigeria;1. Department of Geotechnical Engineering, Key Laboratory of Geotechnical and Underground Engineering of Ministry of Education, College of Civil Engineering, Tongji University, 1239 Siping Road, Shanghai 200092, PR China |
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| Abstract: | Rayleigh surface wave motion in a homogeneous orthotropic elastic solid half-space under time-harmonic sources is theoretically investigated. In this article, closed-form expressions of the Rayleigh wave field as a result of a time-harmonic concentrated line load are simply determined by using reciprocity theorems. For the verification purpose, analytical predictions are also obtained through Fourier transform technique with the aid of the residue theorem. The solutions found by the two approaches are shown to be mathematically the same. As an example of calculation, surface waves due to a set of buried loadings in the orthotropic half-plane are then examined in detail. A discussion of these results is presented to explore the influence of the loading types on the displacement amplitudes of the generated wave fields. |
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