On thermoelastic problem based on four theories with the efficiency of the magnetic field and gravity  

作　　者：A.A.Kilany A.N.Abd-alla A.M.Abd-Alla S.M.Abo-Dahab 

机构地区：[1]Department of Mathematics,Faculty of Science,Sohag University,Sohag 82524 Egypt [2]Department of Computer Science,Faculty of Computers and Information,Luxor University,Egypt [3]Department of mathematics,Faculty of Science,South Valley University,Qena 83523,Egypt

出　　处：《Journal of Ocean Engineering and Science》2024年第4期338-347,共10页海洋工程与科学（英文）

摘　　要：The fundamental objective of this paper is to study the effectiveness of magnetic field and gravity on an isotropic homogeneous thermoelastic structure based on four theories of generalized thermoelasticity.In another meaning,the models of coupled dynamic theory(CDT),Lord-Shulman(LS),Green-Lindsay(GL)as well as Green-Naghdi(GN II)will be taken in the consideration.Then,applying the harmonic method(normal mode technique),the solution of the governing equations and the expressions for the components of the displacement,temperature and(Mechanical and Maxwell’s)stresses is taken into account and calculated numerically.The impacts of the gravity and magnetic field are illustrated graphically which are pronounced on the different physical quantities.Finally,the results of some research that others have previously obtained may be found some or all of them as special cases from this study.

关 键 词：Generalized thermoelasticity GRAVITY Magnetic field Green and Naghdi TheoryⅡ Normal mode approach 

分 类 号：O343.6[理学—固体力学]