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Propagation of generalized thermoelastic pIane waves at an imperfect interface

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EN
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EN
The present study is concerned with the reflection and transmission of thermoelastic pIane waves at an imperfect interface between two generalized thermoelastic solid half-spaces of different elastic and thermal properties. The generalized thermoelastic theory with one relaxation time developed by Lord and Shulman (1967) has been used to study the problem. The expressions for the reflection and transmission coefficients which are the ratios of the amplitudes of reflected and transmitted waves to the amplitude of incident waves are obtained for an imperfect boundary and deduced for normal stiffness, transverse stiffness, thermal contact conduetance, slip and welded boundaries. The amplitude ratios of various reflected and transmitted waves are also deduced at the interface of two semi-infinite media (I) Elastic/Generalized Thermoelastic and (II) Elastic/Elastic. The special case of stress free thermally insulated boundary has also been discussed. It is found that the amplitude ratios of reflected and transmitted waves are affected by the stiffness and thermal properties of the media.
Rocznik
Strony
713--732
Opis fizyczny
Bibliogr. 27 poz., wykr.
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autor
Bibliografia
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  • Deresiewicz H. (1960): Effect of boundaries on waves in a thermoelastic solid: Reflexion of plane waves from a plane boundary. - J. Mech. Phys. Solids, vol.8, pp.164-172.
  • Deresiewicz H. (1962): Corrections and Additions: Effect of boundaries on waves in a thermoelastic solid. - J. Mech. Phys. Solids, vol.10, pp.179-181.
  • Sinha A.N. and Sinha S.B. (1974): Reflection of thermoelastic waves at a solid half-space with thermal relaxation. - J. Phys. Earth, vol.22, pp.237-244.
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  • Sharma J.N. (1988): Reflection of thermoelastic waves from the stress-free insulated boundary of an anisotropic half-space. - Indian J. Pure Appl. Math., vol.19, No.3, pp.294-304.
  • Sinha S.B. and Khaled A. Elasibai (1996): Reflection of thermoelastic waves at a solid half-space with two relaxation times. - J. Thermal Stresses, vol.19, pp.749-762.
  • Sinha S.B. and Khaled A. Elasibai (1997): Reflection and Refraction of thermoelastic waves at an interface of two semi-infinite media with two relaxation times. - J. Thermal Stresses, vol.20, pp.129-145.
  • Singh B. and Kumar R. (1998a): Reflection of plane waves from the flat boundary of a micropolar generalized thermoelastic half-space. - Int. J. Eng. Sci., vol.36, pp.865-890.
  • Singh B. and Kumar R. (1998b): Reflection of plane waves from the flat boundary of a micropolar generalized thermoelastic half-space with stretch. - Indian J. Pure Appl. Math., vol.29, No.6, pp.657-669.
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  • Abo-El-Nour N. Abd-Alla and Amira A.S. Al-Dawy (2000): The reflection phenomena of SV-waves in generalized thermoelastic medium. - Int.J. Math and Math Sci., vol.23, No.8, pp.529-546.
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Bibliografia
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bwmeta1.element.baztech-article-BPZ2-0034-0012
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