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Influence of several fields on Rayleigh waves propagation in a fiber-reinforced orthotropic half-space material under four thermoelastic models
Waves in Random and Complex Media Pub Date : 2020-12-30 , DOI: 10.1080/17455030.2020.1849865
S. M. Abo-Dahab 1, 2 , A. A. Kilany 1 , M. N. M. Allam 3 , R. A. Mohamed 1 , S. Z. Rida 1
Affiliation  

The objective of this paper is to investigate the fiber-reinforced with effect of rotation, initial stress, heat flux, and gravity field on Rayleigh waves in electro-magnetoelastic homogeneous orthotropic material half-space under four models of generalized thermoelasticity: (i) classical and dynamical coupled model (CD), (ii) the Lord–Shulman model (LS), (iii) the Green–Lindsay model (GL), and (iv) the Green–Naghdi model (GN of type II) is devoted to study the problem. Lame’s potentials are used to obtain the frequency equation, which determines the velocity of Rayleigh waves (real part) and the attenuation coefficient (imaginary part) of the determinant under rotation, magnetic field, electric field, heat flux, initial stress, and gravity field. The numerical results have been obtained and illustrated graphically for each case. A comparison of the results was obtained with the previous theories of thermoelasticity in the absence of fiber-reinforced. The results obtained indicated the significant effect of the fiber-reinforced on the propagation of surface waves that has good contributions to industries, engineering, structures, and other topics related to the phenomenon.



中文翻译:

四种热弹性模型下几个场对纤维增强正交各向异性半空间材料中瑞利波传播的影响

本文的目的是研究在四种广义热弹性模型下,旋转、初始应力、热通量和重力场对电磁弹性均匀正交各向异性材料半空间中瑞利波的影响的纤维增强材料:(i)经典和动力耦合模型 (CD)、(ii) Lord-Shulman 模型 (LS)、(iii) Green-Lindsay 模型 (GL) 和 (iv) Green-Naghdi 模型(GN 类型 II)研究问题。Lame 电位用于获得频率方程,它决定了瑞利波的速度(实部)和行列式在旋转、磁场、电场、热通量、初始应力和重力场下的衰减系数(虚部) . 已经获得了数值结果,并以图形方式说明了每种情况。在没有纤维增强的情况下,将结果与先前的热弹性理论进行了比较。获得的结果表明纤维增强对表面波传播的显着影响,这对工业、工程、结构和与现象相关的其他主题有很好的贡献。

更新日期:2020-12-30
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