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Reflection and refraction of thermoelastic plane waves at an interface between two thermoelastic media without energy dissipation

机译:热弹性平面波在两个热弹性介质之间的界面处的反射和折射而不会耗散能量

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摘要

The reflection and refraction of thermoelastic plane waves at an imperfect interface between two dissimilar thermoelastic solid half-spaces has been investigated. The thermoelastic theory without energy dissipation developed by GREEN and NAGHDI has been used to study the problem. The amplitude ratios of various reflected and refracted waves are obtained for an imperfect boundary. Particular cases of normal stiffness, transverse stiffness, slip and welded boundaries are discussed. The amplitude ratios are also deduced at the interface of two semi-infinite media (ⅰ) Elastic/Thermoelastic without energy dissipation, (ⅱ) Thermal Conducting Liq-uid/Thermoelastic without energy dissipation, (ⅲ) Non-viscous Fluid/Thermoelastic without energy dissipation, (ⅳ) Thermal Conducting Liquid/Thermal Conducting Liquid and (ⅴ) Elastic/Elastic. It is found that the amplitude ratios of various reflected and refracted waves are affected by the stiffness and thermal properties of the media. The amplitude ratios of reflected waves are also deduced for a special case of stress-free boundary.
机译:研究了两个不同的热弹性固体半空间之间不完美界面处的热弹性平面波的反射和折射。使用了GREEN和NAGHDI提出的不耗能的热弹性理论来研究该问题。对于不完美的边界,可以获得各种反射波和折射波的振幅比。讨论了法向刚度,横向刚度,滑移和焊接边界的特殊情况。还可以在两个半无限介质的界面上推导振幅比(ⅰ)无能量耗散的弹性/热弹性,(ⅱ)无能量耗散的导热液/热弹性,(without)无能量的非粘性流体/热弹性耗散,(ⅳ)导热液/导热液和(ⅴ)弹性/弹性。已经发现,各种反射波和折射波的振幅比受介质的刚度和热特性影响。对于无应力边界的特殊情况,还推导了反射波的振幅比。

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