ABSTRACT

This article deals with the effect of voids, magnetic field and rotation on the reflection of P waves in thermoelastic medium under the purview of three-phase-lag model. The basic governing equations for isotropic and homogeneous thermoelastic half-space with voids and rotation in the presence of a magnetic field are presented. The solution of the problem in $xz$ plane indicates the existence of four plane waves: $P_1,P_2,P_3$ and $P_4$ and SV waves. The relevant boundary conditions at stress-free thermally insulated surface are satisfied by appropriate solutions in the half-space to obtain the reflection coefficients for the incidence of P waves. The numerical values of the complex modulus of the reflection coefficients are presented graphically to show the effect of rotation, magnetic field and phase lag.

摘要

本文在三相滞后模型的范围内讨论了空隙、磁场和旋转对热弹性介质中 P 波反射的影响。给出了在磁场存在下具有空隙和旋转的各向同性和均匀热弹性半空间的基本控制方程。问题的解决方案在$Xz$plane 表示存在四个平面波：${磷}_1,{磷}_2,{磷}_3$和${磷}_4$和 SV 波。通过半空间中的适当解满足无应力绝热表面的相关边界条件，得到P波入射的反射系数。反射系数的复模数数值以图形方式显示，以显示旋转、磁场和相位滞后的影响。