Abstract

The aim of this work is to investigate the influence of rotation and dual-phase-lag (DPL) theory of generalized thermoelasticity on the reflection of plane waves in a transversely isotropic thermoelastic half-space. It is supposed that the elastic half-space rotates with steady angular velocity. Since the basic equations were solved in a two-dimensional space, so three types of quasi-plane waves are found based on the three of velocities of plane waves. The amplitude ratios and their coefficients of these diverse plane waves according to a suitable boundary conditions are obtained analytically. The impact of incident angle, rotation and thermal relaxation times of DPL theory are computed numerically for a specific material and represented graphically.

摘要

这项工作的目的是研究旋转和广义热弹性的双相滞后 (DPL) 理论对横向各向同性热弹性半空间中平面波反射的影响。假设弹性半空间以稳定的角速度旋转。由于基本方程是在二维空间求解的，所以根据平面波的三个速度，得到了三种准平面波。根据合适的边界条件，分析地获得了这些不同平面波的振幅比及其系数。DPL 理论的入射角、旋转和热弛豫时间的影响针对特定材料进行了数值计算，并以图形方式表示。