TY - JOUR
TI - Magnetic field on surface waves propagation in gravitational thermoelastic media with two temperature and initial stress in the context of three theories
AU - Bouslimi Jamel
AU - Abo-Dahab Sayed Mohamed
AU - Lotfy Khaled
AU - Abdel-Khalek Sayed
AU - Khalil Eied Mahmoud
AU - Omri Mohamed
JN - Thermal Science
PY - 2020
VL - 24
IS - 11
SP - 285
EP - 299
PT - Article
AB - 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.