Rayleigh waves in orthotropic fluid-saturated porous media |
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| Institution: | 1. College of Automation, Harbin Engineering University, Harbin 150001, P.R. China;2. Department of Mathematics, BITS-Pilani, Hyderabad Campus, Hyderabad 500078, India;3. College of Science, Harbin Engineering University, Harbin 150001, P.R. China;1. Dipartimento di Ingegneria Enzo Ferrari, Università di Modena e Reggio Emilia, Modena, Italy;2. Department of Mathematics, College of Engineering, Design and Physical Sciences, Brunel University London, Uxbridge UB8 3PH, UK |
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| Abstract: | In this paper, we are interested in the propagation of Rayleigh waves in orthotropic fluid-saturated porous media. This problem was investigated by Liu and Liu (2004). The authors have derived the secular equation of the wave but that secular equation is still in implicit form. The main aim of this paper is to derive explicit secular equation of the wave. By employing the method of polarization vector, the secular equations of Rayleigh waves in explicit form is obtained. This equation recovers the dispersion equation of Rayleigh waves propagating in pure orthotropic elastic half-spaces. Remarkably, the secular equation obtained is not a complex equation as the one derived by Liu and Liu, it is a really real equation. |
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| Keywords: | Rayleigh waves Orthotropic fluid-saturated porous media Explicit secular equation Method of polarization vector |
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