ABSTRACT

The current research deals with the analysis of reflection and refraction of plane wave at the imperfect boundary of two dissimilar transversely isotropic piezo-thermoelastic (PT) solid half-spaces with diffusion and two temperature. The formulation is applied in a 2-D model under the purview of three-phase lag (TPL) memory dependent derivative (MDD) heat transfer and TPL MDD diffusion. For the incident QL or QTS wave, there exist four coupled quasi reflected waves: RQL (reflected quasi-longitudinal), RQMD (reflected quasi-mass diffusion), RQT (reflected quasi thermal) and RQTS (reflected quasi-transverse) and four transmitted waves: TQL (transmitted quasi-longitudinal), TQMD (transmitted quasi-mass diffusion), TQT (transmitted quasi thermal) and TQTS (transmitted quasi-transverse) waves propagating with different speeds in two solid half-spaces. The expressions for the amplitude ratios and energy ratios are calculated for the reflected and refracted waves. Calculations for normal force stiffness, transverse force stiffness, thermal contact conductance and welded boundaries are also done as particular cases. Some special cases are also discussed. MATLAB software is used for the numerical and graphical analysis and to show the effect of two-temperature on the amplitude ratios of different reflected and refracted waves for incident QL and QTS waves.

摘要

目前的研究是分析平面波在两个具有扩散和两个温度的不同横向各向同性压电热弹性（PT）固体半空间的不完善边界处的反射和折射。在三相滞后（TPL）记忆相关导数（MDD）传热和TPL MDD扩散的作用下，将该公式应用于二维模型。对于入射QL或QTS波，存在四个耦合的准反射波：RQL（反射准纵向），RQMD（反射准质量扩散），RQT（反射准热）和R QTS（反射准横向），还有四个传输波：TQL（透射准纵向），TQMD（透射准质量扩散），TQT（透射准热）和TQTS（透射准横向）波在两个固体半空间中以不同的速度传播。计算反射波和折射波的振幅比和能量比的表达式。在特殊情况下，还可以进行法向力刚度，横向力刚度，热接触电导率和焊接边界的计算。还讨论了一些特殊情况。使用MATLAB软件进行数值和图形分析，并显示两个温度对入射QL和QTS波的不同反射波和折射波振幅比的影响。