Propagation of shear horizontal wave at magneto-electro-elastic structure subjected to mechanically imperfect interface

Document Type : Research Article

Authors

SRM Institute of Science and Technology, Kattankulathur

Abstract

This study delves into the comprehensive investigation of shear horizontal transverse waves within a structure composed of a layer and a semi-infinite medium. The layer investigated in this study consists of functionally graded magneto-electro-elastic material, and the semi-infinite medium is composed of functionally graded piezoelectric material with a linear gradedness parameter. Additionally, the layer and semi-infinite medium has a mechanical imperfect interface. Furthermore,

the solutions for the layer and semi-infinite medium are derived utilizing the WKB approximation

technique. Initially, the partial differential equation is converted into an ordinary differential equation using basic variable separation. Subsequently, the WKB approximation technique is employed to solve the resulting ordinary differential equation. The obtained results lead to dispersion relations presented in determinant form for two cases: electrically open and short. A specific model is employed to explore the influence of various parameters on shear horizontal transverse waves. This model comprises a layer composed of magneto-electro-elastic material (BaTiO3-CoFe2O4) and a semi-infinite medium made up of piezoelectric material (BaTiO3). Additionally, graphs for shear horizontal transverse waves are plotted to visualize the variation in shear horizontal transverse waves concerning phase velocity and wave number.

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