Thomson effect with hyperbolic two-temperature on magneto-thermo-visco-elasticity  

作　　者：A.M.ALHARBI M.I.A.OTHMAN H.M.ATEF 

机构地区：[1]Department of Mathematics,College of Science,Taif Univeristy,Taif 21944,Saudi Arabia [2]Department of Mathematics,Faculty of Science,Zagazig University,Zagazig 44519,Egypt [3]Department of Mathematics,Faculty of Science,Damanhur University,Damanhur 22511,Egypt

出　　处：《Applied Mathematics and Mechanics(English Edition)》2021年第9期1311-1326,共16页应用数学和力学（英文版）

基　　金：the Taif University Researchers Supporting Project in Taif University of Saudi Arabia(No.TURSP-2020/230)。

摘　　要：The study considers a homogeneous isotropic thermo-visco-elastic solid with hyperbolic two-temperature to cope up with its two-dimensional(2 D)deformations.The heat conduction equation is influenced by the Thomson coefficient.Lord-Shulman’s theory is used to modify the basic governing equations.A method called"normal mode analysis"is utilized to attain the magnetic field,stress,conductive and thermodynamic temperature,and displacement components.Also,a number of numerical calculations are performed and discussed to understand the impact of hyperbolic two-temperatures,Thomson parameter,and viscosity on the material mentioned above.

关 键 词：thermo-visco-elasticity magnetic field hyperbolic two-temperature Lord-Shulman’s theory Thomson coefficient normal mode analysis 

分 类 号：O343[理学—固体力学]