Magnetic Field Effect on Three Plane Waves Propagation at Interface between Solid-Liquid Media Placed under Initial Stress in the Context of GL Model

Authors

S. M. Abo-Dahab, Math. Dept., Faculty of Science, SVU, Qena 83523, Egypt.\\ Math. Dept., Faculty of Science, Taif University, 888, Saudi Arabia.Follow

Author Country (or Countries)

Saudi Arabia.

Abstract

In this work, the effects of magnetic field and initial stress on plane waves propagation is investigated. The problem of reflection and transmission of thermoelastic wave at a solid-liquid interface in presence of initial stress and magnetic field has been investigated. In the context of Green-Lindsay theory of generalized, the problem has been solved. The boundary conditions applied at the interface are (i) displacement continuity, (ii) Vanishing the tangential displacement, (iii) Continuity of normal force per unit initial area, (iv) Tangential force per unit initial area must vanish, and (v) Continuity of temperature. The appropriate expressions to find the amplitudes ratios for the three incidence waves (P-, SV, and T-wave) have been obtained. The reflection and transmitted coefficients for the incident waves are computed numerically, considering the initial stress and magnetic field effect and presented graphically.

Recommended Citation

M. Abo-Dahab, S. (2015) "Magnetic Field Effect on Three Plane Waves Propagation at Interface between Solid-Liquid Media Placed under Initial Stress in the Context of GL Model," Applied Mathematics & Information Sciences: Vol. 09: Iss. 6, Article 41.
Available at: https://digitalcommons.aaru.edu.jo/amis/vol09/iss6/41