Abstract

The present article focuses on the Rayleigh surface wave propagation in homogeneous isotropic thermoelastic medium. This works aims to develop a new nonlocal elasticity model based on three-phase-lag model of hyperbolic thermoelasticity under double porosity structure. New constitutive relations and equations are derived using nonlocal continuum mechanics. State space approach is employed to solve the problem. Frequency equation is derived using appropriate boundary conditions. Path of surface particles is found elliptical at the time of Rayleigh surface wave propagation. Different characteristics of Rayleigh waves are calculated numerically and presented graphically for different wave number. Various characteristics of wave for different thermoelastic models are also presented graphically. The effect of nonlocal parameters and void parameters on phase velocity, attenuation coefficient, penetration depth, and specific loss of Rayleigh waves are shown graphically. Some special cases are deduced from this study which agree with the existing literatures.

中文翻译：

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三相滞后模型下双孔隙非局域热弹性介质瑞利波的状态空间方法

摘要

本文重点研究均匀各向同性热弹性介质中的瑞利表面波传播。本工作旨在基于双孔隙结构下双曲热弹性三相滞后模型，开发一种新的非局部弹性模型。使用非局部连续介质力学导出新的本构关系和方程。采用状态空间方法来解决该问题。使用适当的边界条件导出频率方程。瑞利表面波传播时，表面粒子的路径是椭圆形的。对瑞利波的不同特性进行了数值计算，并针对不同波数以图形方式呈现。不同热弹性模型的波的各种特征也以图形方式呈现。以图形方式显示非局部参数和空隙参数对瑞利波的相速度、衰减系数、穿透深度和特定损耗的影响。本研究推导出一些与现有文献一致的特殊案例。