The present manuscript is aimed at studying the propagation of plane waves in a fiber-reinforced, anisotropic, thermoelastic half-space with diffusion. The formulation is applied to generalized thermoelasticity based on the Green–Lindsay (G–L) theory. A thermal shock is applied on the surface of the half-space, which is taken to be traction free. The analytical expressions for the displacement components, stresses, concentration and temperature field are obtained in the physical domain by using normal mode analysis. Moreover, the derived expressions are computed numerically, and corresponding graphs are plotted to illustrate and compare theoretical results. Comparisons are made within the theory in the presence and absence of fiber-reinforcement and diffusion. The effect of time on the physical fields is also observed. Some particular cases of interest have been deduced from the present investigation.

本手稿旨在研究平面波在纤维增强的各向异性热弹性半空间中的扩散传播。该公式适用于基于格林—林赛（GL）理论的广义热弹性。在半空间的表面上施加热冲击，该热冲击被认为是无牵引力的。通过使用正态模式分析，可以在物理域中获得位移分量，应力，浓度和温度场的解析表达式。此外，对导出的表达式进行数值计算，并绘制相应的图形以说明和比较理论结果。在存在和不存在纤维增强和扩散的情况下，在理论内进行了比较。还观察到时间对物理场的影响。