The present article deals with the propagation of Rayleigh surface waves in a homogeneous orthotropic medium based on Eringen’s nonlocal thermoelasticity. This thermoelastic problem is studied under the purview of Green–Naghdi model type III of hyperbolic thermoelasticity in the presence of voids. The normal mode analysis is employed to obtain a vector matrix differential equation which is then solved by an eigenvalue approach. The frequency equations for different cases are derived. The path of surface particles during Rayleigh wave propagation is found to be elliptical. In order to illustrate the analytical developments, the numerical solution is carried out and the computer-simulated results with respect to phase velocity, attenuation coefficient and specific loss are presented graphically.

中文翻译：

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多孔非局域热弹性正交各向异性介质中的表面波

本文基于 Eringen 的非局域热弹性研究瑞利表面波在均匀正交各向异性介质中的传播。这个热弹性问题是在存在空隙的双曲热弹性的 Green-Naghdi 模型 III 型的范围内研究的。使用常模分析得到向量矩阵微分方程，然后通过特征值方法求解。推导出不同情况的频率方程。发现瑞利波传播过程中表面粒子的路径是椭圆的。为了说明分析的进展，进行了数值求解，并以图形方式呈现了有关相速度、衰减系数和特定损耗的计算机模拟结果。