Effect of Irregularity on Torsional Surface Waves in an Initially Stressed Porous Layer Sandwiched Between Two Non-homogeneous Half-Spaces

被引:5
作者
Saha, Anup [2 ]
Kundu, Santimoy [1 ]
Gupta, Shishir [1 ]
Vaishnav, Pramod Kumar [3 ]
机构
[1] Indian Inst Technol ISM, Dept Appl Math, Dhanbad 826004, Bihar, India
[2] Rampurhat Coll, Dept Math, Rampurhat 731224, India
[3] Thapar Univ Patiala, Sch Math, Patiala 147004, Punjab, India
关键词
Torsional wave; Anisotropy; Initial stress; Irregularity; Non-homogeneity; RAYLEIGH-WAVES; ELASTIC-WAVES; LOVE WAVES; PROPAGATION; DISPERSION; CYLINDER;
D O I
10.1007/s40010-017-0405-2
中图分类号
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号
07 ; 0710 ; 09 ;
摘要
The present work deals with the possibility of propagation of torsional surface waves in fluid saturated porous layer lying between two non-homogeneous half-spaces. It has been assumed directional rigidities and density vary hyperbolically in the upper half-space whereas rigidity and density are assumed to vary exponentially in the lower half-space. The irregularity is taken in the form of a triangle at the lower interface. The velocity equation has been derived and the results have been discussed. The study reveals that the torsional waves propagate in the assumed medium and the irregularity, initial stress, porosity, non-homogeneity parameter, anisotropy and ratio of directional rigidities have a pronounced influence on the propagation of torsional wave. Further it has been observed that neglecting the lower or upper half-space, the velocity equation of torsional surface waves for a homogeneous layer over or below a homogeneous half-space coincides with that of Love waves.
引用
收藏
页码:171 / 183
页数:13
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