Coupled Systems Mechanics

Volume 10, Number 2, 2021, pages 143-159

DOI: 10.12989/csm.2021.10.2.143

Reflection of plane waves from the boundary of a thermo-magneto-electroelastic solid half space

Baljeet Singh and Aarti Singh

Abstract

The theory of generalized thermo-magneto-electroelasticity is employed to obtain the plane wave solutions in an unbounded, homogeneous and transversely isotropic medium. Reflection phenomena of plane waves is considered at a stress free and thermally insulated surface. For incidence of a plane wave, the expressions of reflection coefficients and energy ratios for reflected waves are derived. To explore the characteristics of reflection coefficients and energy ratios, a quantitative example is set up. The half-space of the thermo-magneto-electroelastic medium is assumed to be made out of lithium niobate. The dependence of reflection coefficients and energy ratios on the angle of incidence is illustrated graphically for different values of electric, magnetic and thermal parameters.

Key Words

thermo-magneto-electroelasticity; plane waves; reflection coefficients; energy ratios

Address

Baljeet Singh: Department of Mathematics, Post Graduate Government College, Sector-11, Chandigarh - 160 011, India Aarti Singh: Department of Mathematics, Maharishi Markandeshwar University, Mullana, Haryana, India