Abstract

The article aims to depict the influence of one relaxation time on elastic and thermal waves propagating through an isotropic medium. The medium is half-space and homogenous in nature. The thermal properties of the particles are influenced by thermodynamic and conducive temperature. Along with all these conditions we have also considered the medium to be under the impact of an primarily functional magnetic field with uniform intensity. Firstly, we developed the theory of generalized surface waves and employed it to investigate some cases of wave propagation. Secondly, in the physical domain, the harmonic vibrations of a half-space are used to obtain expressions for field variables involved in the mathematical model. The surface of the medium is under the constraint of Mode-I crack. A numerical application is presented for a particular material to illustrate the study graphically.

中文翻译：

---

弛豫时间和I型裂纹对波通过两温度磁热弹性介质的影响研究

摘要

本文旨在描述一个弛豫时间对通过各向同性介质传播的弹性波和热波的影响。该介质本质上是半空间且均匀的。颗粒的热性质受热力学和传导温度的影响。除了所有这些条件之外，我们还考虑了介质受到具有均匀强度的主要功能磁场的影响。首先，我们发展了广义表面波理论，并用它来研究波传播的一些情况。其次，在物理领域，利用半空间的简谐振动来获得数学模型中涉及的场变量的表达式。介质表面处于I型裂纹约束下。针对特定材料提出了数值应用，以图形方式说明该研究。