Dispersion of Stoneley waves through the irregular common interface of two hydrostatic stressed MTI media

Document Type : Research Note


1 Department of Mathematics and Computing, Indian Institute of Technology (Indian School of Mines), Dhanbad-826004, Jharkhand, India

2 Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore-632014, Tamil Nadu, India


The present work deals with the mathematical inspection of Stoneley wave propagation through the corrugated irregular common interface of two dissimilar magneto-elastic transversely isotropic (MTI) half-space media under the impression of hydrostatic stresses. For the enumeration of the Lorentz’s force besmeared in the structure, generalized Ohm’s law and Maxwell’s equation have been considered. The interior deformations are calculated analytically to obtain the wave frequency equation using prescribed boundary conditions. To investigate the impacts of irregularity and various affecting parameters such as magnetic couplings and hydrostatic stresses on the wave propagation, frequency curves are framed-up for the phase velocity of the wave.


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