title: Analysis of dispersion and absorption characteristics of shear waves in sinusoidally corrugated elastic medium with void pores.
abstract: 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.
authors.affiliation: Department of Applied Mathematics , Indian Institute of Technology (Indian School of Mines) , Dhanbad, Jharkhand 826004 , India.
authors.forename: Deepak Kr
authors.identifier: 0000-0002-0959-068X
authors.initials: DK
authors.lastname: Pandit
authors.affiliation: Department of Applied Mathematics , Indian Institute of Technology (Indian School of Mines) , Dhanbad, Jharkhand 826004 , India.
authors.forename: Santimoy
authors.initials: S
authors.lastname: Kundu
authors.affiliation: Department of Applied Mathematics , Indian Institute of Technology (Indian School of Mines) , Dhanbad, Jharkhand 826004 , India.
authors.forename: Shishir
authors.initials: S
authors.lastname: Gupta
keywords: absorption; corrugation; dispersion; sandiness; shear waves; void pores