Reflection and refraction of P-, SV- and thermal wave, at an initially stressed solid-liquid interface in generalized thermoelasticity

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• 作者：Manik Chandra Singh^a ; ^{maniksingh1981@gmail.com} ; Nilratan Chakraborty^b ; ^{nil_c53@yahoo.co.in}
• 关键词：Initial stress ; Reflection ; Refraction ; Generalized thermoelasticity ; Relaxation time
• 刊名：Applied Mathematical Modelling
• 出版年：2013
• 出版时间：January, 2013
• 年：2013
• 卷：37
• 期：1-2
• 页码：463-475
• 全文大小：1445 K

文摘

We have investigated the problem of reflection and refraction of thermoelastic wave at a solid-liquid interface in presence of initial stress. Using the theory of generalized thermoelasticity the problem has been solved in the context of various linear theories of thermoelasticity namely Lord-Shulmon, Green-Lindsay and coupled thermoelasticity. The appropriate expressions to find the amplitude ratios for all the three cases of P-wave incidence, SV-wave incidence and thermal wave incidence have been developed. However the ratios of amplitudes of reflected and refracted waves to that of incident wave are computed numerically for earth¡¯s crust-water interface, for incident P-wave only, considering the initial stress to be tensile as well as compressional both. The results obtained are discussed and compared in the three models of thermoelasticity. The variations of the amplitude ratios with initial stress in G-L model have also been shown.