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. (c) 2012 Elsevier Inc. All rights reserved.
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Taif Univ, Dept Math, Fac Sci, At Taif, Saudi Arabia
SVU, Dept Math, Fac Sci, Qena, EgyptTaif Univ, Dept Math, Fac Sci, At Taif, Saudi Arabia
Abo-Dahab, S. M.
Abd-Alla, A. M.
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Taif Univ, Dept Math, Fac Sci, At Taif, Saudi Arabia
Sohag Univ, Dept Math, Fac Sci, Sohag, EgyptTaif Univ, Dept Math, Fac Sci, At Taif, Saudi Arabia
机构:
Taif Univ, Dept Math, Fac Sci, At Taif, Saudi Arabia
SVU, Dept Math, Fac Sci, Qena, EgyptTaif Univ, Dept Math, Fac Sci, At Taif, Saudi Arabia
Abo-Dahab, S. M.
Kilicman, A.
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Univ Putra Malaysia, Dept Math, Serdang 43400, Selangor, Malaysia
Univ Putra Malaysia, Inst Math Res, Serdang 43400, Selangor, MalaysiaTaif Univ, Dept Math, Fac Sci, At Taif, Saudi Arabia
机构:
China Univ Petr, Thermal Engn & Power Dept, Qingdao 266580, Peoples R China
Qilu Univ Technol, Shandong Acad Sci, Jinan 250353, Peoples R ChinaChina Univ Petr, Thermal Engn & Power Dept, Qingdao 266580, Peoples R China
Meng, Guangfan
Chen, Jiao
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China Univ Petr, Thermal Engn & Power Dept, Qingdao 266580, Peoples R ChinaChina Univ Petr, Thermal Engn & Power Dept, Qingdao 266580, Peoples R China
Chen, Jiao
Bao, Wenlong
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China Univ Petr, Thermal Engn & Power Dept, Qingdao 266580, Peoples R ChinaChina Univ Petr, Thermal Engn & Power Dept, Qingdao 266580, Peoples R China
Bao, Wenlong
Wang, Zhaoliang
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China Univ Petr, Thermal Engn & Power Dept, Qingdao 266580, Peoples R ChinaChina Univ Petr, Thermal Engn & Power Dept, Qingdao 266580, Peoples R China