RAYLEIGH WAVE IN A THERMO-VISCOELASTIC MATERIAL WITH VOIDS

被引:4
作者
Bhagwan, Jai [1 ]
Singh, Dilbag [2 ,3 ]
Tomar, S. K. [2 ]
机构
[1] Govt Coll Women, Dept Math, Bhiwani 127040, Haryana, India
[2] Panjab Univ, Dept Math, Chandigarh 160014, India
[3] Univ Grants Commiss, New Delhi, India
关键词
thermo-viscoelastic; voids; Rayleigh waves; dispersion equation; phase speed; attenuation;
D O I
10.1615/SpecialTopicsRevPorousMedia.v6.i3.60
中图分类号
TH [机械、仪表工业];
学科分类号
0802 ;
摘要
In this paper, Rayleigh-type surface wave propagation in a thermo-viscoelastic half-space with voids has been studied. The existence and propagation of such wave is represented by a dispersion equation, which happens to be irrational and complex. To solve this equation, we have rationalized it into a polynomial equation of degree 24, which is further solved numerically for exact complex roots. The correct roots of the dispersion equation are obtained after removing extraneous zeros. Then, these roots are filtered out for the inhomogeneous wave decaying with depth. The phase velocity and attenuation coefficient for Rayleigh-type wave are obtained from each qualified solution of the dispersion equation. The effect of temperature parameters, void parameters, and viscoelastic properties of the material is investigated on the phase speed and attenuation coefficients of the Rayleigh wave. Dispersion equations corresponding to Rayleigh wave propagation in several particular media have been deduced from the present dispersion relation.
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页码:283 / 296
页数:14
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