Reflection of Plane Waves in a Nonlocal Transversely Isotropic Micropolar Thermoelastic Medium with Temperature-Dependent Properties

The present research is aimed to investigate the reflection of time-harmonic plane waves in a nonlocal, transversely isotropic, micropolar thermoelastic half-space with temperature-dependent properties under three-phase-lag (TPL) theory.

Four coupled plane waves with distinct speeds are identified to travel in the medium. Taking into account appropriate boundary constraints, the reflection phenomena is investigated at the stress free surface of the medium.

The expressions of amplitude ratios and energy ratios for the reflected plane waves are obtained. Numerical computations, performed using MATLAB software, analyze the impacts of micropolar parameter, material anisotropy and generalized thermoelasticity theories (TPL and GN theory of type III), as well as the nonlocal parameter and temperature-dependent properties on the amplitude ratios.

The influence of material anisotropy on phase velocities is explored in detail. The computational results are visualized and interpreted through graphs. Notably, it is confirmed that there is no dissipation of energy during the reflection phenomena.