Purpose

The purpose of this paper is to study the reflection of plane waves in an initially stressed rotating thermoelastic diffusive medium with micro-concentrations and two-temperature.

Design/methodology/approach

A two-dimensional model of generalized thermoelasticity is considered. The governing equations are transformed into the non-dimensional forms using the dimensionless variables. Then, potential functions are introduced for the decoupling of the waves. Further, appropriate boundary conditions are assumed to completely solve the problem. Finally, numerical computations are performed using MATLAB.

Findings

The problem is solved analytically and it is found that there exist five coupled waves in addition to an independent micro-concentration wave in the considered medium. The amplitude ratios and energy ratios of these reflected waves have also been computed numerically for a specific material.

Originality/value

The modulus values of amplitude ratios are presented graphically to exhibit the effects of angular velocity, initial stress, two-temperature, diffusion and micro-concentration parameters. The expressions of energy ratios obtained in explicit form are also depicted graphically as functions of angle of incidence. The law of conservation of energy at the free surface during reflection phenomenon is also verified.

中文翻译：

---

波在具有两个温度和微浓度的初始应力旋转热扩散介质中的传播

目的

本文的目的是研究平面波在微应力和双温度的初始应力旋转热弹性扩散介质中的反射。

设计/方法/方法

考虑了广义热弹性的二维模型。使用无量纲变量将控制方程式转换为无量纲形式。然后，引入势函数以使波解耦。此外，假定适当的边界条件可以完全解决该问题。最后，使用MATLAB进行数值计算。

发现

通过分析解决了该问题，发现在所考虑的介质中，除了一个独立的微浓度波外，还存在五个耦合波。这些反射波的振幅比和能量比也已针对特定材料进行了数值计算。

创意/价值

振幅比的模量值以图形方式显示，以显示角速度，初始应力，两温，扩散和微浓度参数的影响。以显式形式获得的能量比的表达式也被图形化地描述为入射角的函数。还验证了反射现象期间自由表面的能量守恒定律。