Abstract In this paper, a new model based on Eringen’s nonlocal thermoelasticity is constructed. The propagation of Rayleigh surface waves in homogeneous isotropic medium is considered under the purview of this new nonlocal thermoelasticity theory in the context of energy dissipation theory. The normal mode analysis is employed to the considered equations to obtain vector matrix differential equation which is then solved by state space approach. The frequency equations for different cases are derived. The phase velocity, attenuation coefficients, specific loss and penetration depth of Rayleigh surface waves are computed numerically and presented graphically with respect to frequency and the effects of non-locality on the considered parameters are presented in the figures.

中文翻译：

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非局域热弹性介质中的面波状态空间方法

摘要 本文构建了一个基于Eringen非局域热弹性的新模型。在能量耗散理论的背景下，在这种新的非局域热弹性理论的范围内考虑了瑞利表面波在均匀各向同性介质中的传播。对所考虑的方程进行常模分析，得到向量矩阵微分方程，然后用状态空间方法求解。推导出不同情况的频率方程。瑞利面波的相速度、衰减系数、比损耗和穿透深度以数字方式计算并以图形方式呈现在频率方面，非局域性对所考虑参数的影响如图所示。