Purpose

The purpose of study to this article is to analyze the Rayleigh wave propagation in an isotropic dry sandy thermoelastic half-space. Various wave characteristics, i.e wave velocity, penetration depth and temperature have been derived and represented graphically. The generalized secular equation and classical dispersion equation of Rayleigh wave is obtained in a compact form.

Design/methodology/approach

The present article deals with the propagation of Rayleigh surface wave in a homogeneous, dry sandy thermoelastic half-space. The dispersion equation for the proposed model is derived in closed form and computed analytically. The velocity of Rayleigh surface wave is discussed through graphs. Phase velocity and penetration depth of generated quasi P, quasi SH wave, and thermal mode wave is computed mathematically and analyzed graphically. To illustrate the analytical developments, some particular cases are deliberated, which agrees with the classical equation of Rayleigh waves.

Findings

The dispersion equation of Rayleigh waves in the presence of thermal conductivity for a dry sandy thermoelastic medium has been derived. The dry sandiness parameter plays an effective role in thermoelastic media, especially with respect to the reference temperature for η = 0.6,0.8,1. The significant difference in η changes a lot in thermal parameters that are obvious from graphs. The penetration depth and phase velocity for generated quasi-wave is deduced due to the propagation of Rayleigh wave. The generalized secular equation and classical dispersion equation of Rayleigh wave is obtained in a compact form.

Originality/value

Rayleigh surface wave propagation in dry sandy thermoelastic medium has not been attempted so far. In the present investigation, the propagation of Rayleigh waves in dry sandy thermoelastic half-space has been considered. This study will find its applications in the design of surface acoustic wave devices, earthquake engineering structural mechanics and damages in the characterization of materials.

中文翻译：

---

瑞利波在干燥砂质 ($SiO_2$) 热弹性固体边界面上的传播

目的

本文的研究目的是分析瑞利波在各向同性干燥砂质热弹性半空间中的传播。各种波浪特征，即波速、穿透深度和温度已被导出并以图形表示。以紧凑的形式得到了瑞利波的广义长期方程和经典色散方程。

设计/方法/方法

本文讨论瑞利表面波在均匀、干燥的沙质热弹性半空间中的传播。所提出模型的色散方程以封闭形式导出并进行分析计算。瑞利面波的速度是通过图形来讨论的。生成的准P、准SH波和热模式波的相速度和穿透深度通过数学计算和图形分析。为了说明分析的发展，讨论了一些特殊情况，这与瑞利波的经典方程一致。

发现

推导了干砂质热弹性介质存在热导率时瑞利波的色散方程。干砂参数在热弹性介质中发挥着有效作用，尤其是对于η  = 0.6、0.8、1的参考温度。从图中可以明显看出，η的显着差异使热参数发生了很大变化。由于瑞利波的传播，推导出产生的准波的穿透深度和相速度。以紧凑的形式得到了瑞利波的广义长期方程和经典色散方程。

原创性/价值

到目前为止，还没有尝试过在干燥的沙质热弹性介质中传播瑞利面波。在目前的调查中，瑞利波在干砂质热弹性半空间中的传播已被考虑。这项研究将在表面声波装置的设计、地震工程结构力学和材料表征中的损伤方面得到应用。