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Analysis of dispersion and absorption characteristics of shear waves in sinusoidally corrugated elastic medium with void pores
Author(s) -
Deepak Kr. Pandit,
Santimoy Kundu,
Shishir Gupta
Publication year - 2017
Publication title -
royal society open science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.84
H-Index - 51
ISSN - 2054-5703
DOI - 10.1098/rsos.160511
Subject(s) - wavefront , shear modulus , shear waves , dispersion relation , phase velocity , dispersion (optics) , materials science , mechanics , volume fraction , wave propagation , shear (geology) , optics , void (composites) , elastic modulus , physics , classical mechanics , composite material
This theoretical work reports the dispersion and absorption characteristics of horizontally polarized shear wave (SH-wave) in a corrugated medium with void pores sandwiched between two dissimilar half-spaces. The dispersion and absorption equations have been derived in a closed form using the method of separation of variables. It has been established that there are two different kinds of wavefronts propagating in the proposed media. One of the wavefronts depends on the modulus of rigidity of elastic matrix of the medium and satisfies the dispersion equation of SH-waves. The second wavefront depends on the changes in volume fraction of the pores. Numerical computation of the obtained relations has been performed and the results are depicted graphically. The influence of corrugation, sandiness on the phase velocity and the damped velocity of SH-wave has been studied extensively.

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