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Surface waves in porous thermoelastic medium with two relaxation times
Mechanics Based Design of Structures and Machines ( IF 3.9 ) Pub Date : 2020-10-23 , DOI: 10.1080/15397734.2020.1831532
Abdush Salam Pramanik 1 , Siddhartha Biswas 1
Affiliation  

Abstract

In this paper, the propagation of Rayleigh waves in homogeneous isotropic thermoelastic medium in the presence of voids with Green-Lindsay model is considered. A vector matrix differential equation is formed by employing normal mode analysis to the considered equations which is then solved by eigenfunction expansion method. The frequency equations for different cases are derived and the path of surface particles during Rayleigh wave propagation is found elliptical. The phase velocity, attenuation coefficient, specific loss and penetration depth are computed numerically and presented graphically and the effect of the voids on the considered parameters is shown in the figures.



中文翻译:

具有两个弛豫时间的多孔热弹性介质中的表面波

摘要

本文利用Green-Lindsay模型考虑了存在空隙的均匀各向同性热弹性介质中瑞利波的传播。对所考虑的方程进行正态模式分析,形成向量矩阵微分方程,然后通过特征函数展开法求解。推导了不同情况下的频率方程,发现在瑞利波传播过程中表面粒子的路径是椭圆的。相速度、衰减系数、特定损耗和穿透深度以数字方式计算并以图形方式呈现,空隙对所考虑参数的影响如图所示。

更新日期:2020-10-23
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