THERMAL SCIENCE

International Scientific Journal

Jamel Bouslimi

,

Sayed Mohamed Abo-Dahab

,

Khaled Lotfy

,

Sayed Abdel-Khalek

,

Eied Mahmoud Khalil

,

Mohamed Omri

MAGNETIC FIELD ON SURFACE WAVES PROPAGATION IN GRAVITATIONAL THERMOELASTIC MEDIA WITH TWO TEMPERATURE AND INITIAL STRESS IN THE CONTEXT OF THREE THEORIES

ABSTRACT
In this paper is investigating the theory of generalized thermoelasticity under two temperature is used to solve boundary value problems of 2-D half-space its bound­ary with different types of heating under gravity effect. The governing equations are solved using new mathematical methods under the context of Lord-Shulman, Green-Naghdi theory of type III (G-N III) and the three-phase-lag model to inves­tigate the surface waves in an isotropic elastic medium subjected to gravity field, magnetic field, and initial stress. The general solution obtained is applied to a spe­cific problem of a half-space and the interaction with each other under the influence of gravity. The physical domain by using the harmonic vibrations is used to obtain the exact expressions for the Waves velocity and attenuation coefficients for Stoneley waves, Love waves, and Rayleigh waves. Comparisons are made with the results between the three theories. Numerical work is also performed for a suitable material with the aim of illustrating the results. The results obtained are calculated numerical­ly and presented graphically with some comparisons in the absence and the presence the influence of gravity, initial stress and magnetic field. It clears that the results ob­tained agree with the physical practical results and agree with the previous results if the gravity, two temperature, and initial stress neglect as special case from this study.
KEYWORDS
generalized thermoelasticity, magnetic field, surface waves, two temperature, three-phase-lag model Lord-Shulman theory, gravity
PAPER SUBMITTED: 2020-04-27
PAPER REVISED: 2020-06-10
PAPER ACCEPTED: 2020-06-26
PUBLISHED ONLINE: 2020-10-25
DOI REFERENCE: https://doi.org/10.2298/TSCI20S1285B
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2020, VOLUME 24, ISSUE Supplement 1, PAGES [S285 - S299]
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Magnetic field on surface waves propagation in gravitational thermoelastic media with two temperature and initial stress in the context of three theories

© 2024 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, National Institute of the Republic of Serbia, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence