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Effect of magnetic field and voids on Rayleigh waves in a nonlocal thermoelastic half-space
The Journal of Strain Analysis for Engineering Design ( IF 1.6 ) Pub Date : 2021-03-04 , DOI: 10.1177/03093247211001243
AM Abd-Alla 1 , SM Abo-Dahab 2, 3 , SM Ahmed 4 , MM Rashid 1
Affiliation  

This work is concerned with the propagation of surface waves is considered in an isotropic elastic homogeneous nonlocal generalized thermoelastic solid medium in the presence of a magnetic field and voids. The normal mode analysis and Lame’s potential theory are used to solve the resulting non-dimensional coupled equations. Dispersion relation for Rayleigh surface wave are derived for both thermally insulated and isothermal surfaces. The non-dimensional wave speed of Rayleigh surface wave is computed for a specific material. The non-dimensional wave speed of Rayleigh surface waves are found to be influenced by the presence of voids, magnetic field, thermal field, and elastic nonlocal parameter. For a particular model, the effect of magnetic field, void parameters, thermal parameter, and nonlocality has been studied numerically on the Rayleigh surface waves. All the computed results obtained have been depicted graphically and explained.



中文翻译:

磁场和空隙对非局部热弹性半空间中瑞利波的影响

这项工作与表面波的传播有关,认为是在存在磁场和空隙的情况下,在各向同性弹性均质非局部广义热弹性固体介质中进行的。使用正态分析和Lame势能理论来求解所得的无量纲耦合方程。推导了隔热表面和等温表面的瑞利面波的色散关系。计算特定材料的瑞利面波的无量纲波速。发现瑞利面波的无量纲波速受孔隙,磁场,热场和弹性非局部参数的存在的影响。对于特定模型,磁场,空隙参数,热参数,非局部性已经在瑞利面波上进行了数值研究。所有获得的计算结果均已通过图形方式进行了描述和说明。

更新日期:2021-03-04
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