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Rayleigh surface wave at an impedance boundary of an incompressible micropolar solid half-space
Mechanics of Advanced Materials and Structures ( IF 2.8 ) Pub Date : 2021-04-20 , DOI: 10.1080/15376494.2021.1914795
Baljeet Singh 1 , Baljinder Kaur 2
Affiliation  

Abstract

Linear theory of micropolar elasticity has potential applications in exploration of materials made from bar-like molecules with micro-rotational effects. This theory is employed to investigate the Rayleigh surface waves in an incompressible micropolar solid half-space whose surface is subjected to the Tiersten’s impedance boundary conditions. An implicit secular equation is derived in non-dimensional material parameters, non-dimensional impedance parameters and non-dimensional frequency ratio. The speed of the Rayleigh wave is illustrated graphically against these non-dimensional parameters. The numerical results are compared with those for stress free boundary case. It is noticed that the presence of impedance boundary affects significantly the speed of Rayleigh wave. The Rayleigh wave speed also varies considerably due to the changes in micropolar material parameters and frequency ratio.



中文翻译:

不可压缩微极固体半空间阻抗边界处的瑞利面波

摘要

微极弹性的线性理论在探索由具有微旋转效应的棒状分子制成的材料方面具有潜在的应用。该理论用于研究不可压缩微极固体半空间中的瑞利表面波,其表面受到蒂尔斯滕阻抗边界条件的影响。在无量纲材料参数、无量纲阻抗参数和无量纲频率比中导出了一个隐含的长期方程。瑞利波的速度以图形方式与这些无量纲参数进行对比。数值结果与无应力边界情况的结果进行了比较。值得注意的是,阻抗边界的存在显着影响了瑞利波的速度。

更新日期:2021-04-20
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