Earthquakes and Structures

Volume 9, Number 3, 2015, pages 577-601

DOI: 10.12989/eas.2015.9.3.577

Reflection and refraction of magneto-thermoelastic plane wave at the pre-stressed liquid-solid interface in generalized thermoelasticity under three theories

Rajneesh Kakar and Shikha Kakar

Abstract

The thermomagnetic effect on plane wave propagation at the liquid-solid interface with nonclassical thermoelasticity is investigated. It is assumed that liquid-solid half-space is under initial stress. Numerical computations are performed for the developed amplitude ratios of P, SV and thermal waves under Cattaneo-Lord-Shulman theory, Green-Lindsay theory and classical thermoelasticity. The system of developed equations is solved by the application of the MATLAB software at different angles of incidence for Green and Lindsay model. The effect of initial stress and magnetic field in the lower half-space are discussed and comparison is made in LS, GL and CT models of thermoelasticity. In the absence of magnetic field, the obtained results are in agreement with the same results obtained by the relevant authors. This study would be useful for magneto-thermoelastic acoustic device field.

Key Words

initial stress; reflection; refraction; relaxation time; temperature; magnetic field

Address

Rajneesh Kakar: Chotti Baradari, 163/1, Jalandhar, India Shikha Kakar: Department of Electronics, SBBSIET, Padhiana, India