Analytical and Numerical Solution of 2D Problem for Transversely Isotropic Generalized Thermoelastic Medium with Green-Naghdi Model II

被引：1
|
作者：
Abbas, Ibrahim A. [1 ,2 ]
Othman, Mohamed I. A. [3 ,4 ]
机构：
[1] Sohag Univ, Fac Sci, Dept Math, Sohag, Egypt
[2] King Abdulaziz Univ, Dept Math, Nonlinear Anal & Appl Math Res Grp NAAM, Jeddah, Saudi Arabia
[3] Zagazig Univ, Fac Sci, Dept Math, Zagazig, Egypt
[4] Taif Univ, Fac Sci, Dept Math, At Taif 888, Saudi Arabia
来源：
INTERNATIONAL JOURNAL OF ACOUSTICS AND VIBRATION | 2018年 / 23卷 / 03期
关键词：
FINITE-ELEMENT-METHOD; MOVING HEAT-SOURCE; ENERGY-DISSIPATION; HOLLOW CYLINDER; SECOND SOUND; PLANE-WAVES; MAGNETO-THERMOELASTICITY; EIGENVALUE APPROACH; TEMPERATURE; CONDUCTIVITY;
D O I：
10.20855/ijav.2018.23.31053
中图分类号：
O42 [声学];
学科分类号：
070206 ; 082403 ;
摘要：
In this paper, a comparison was made between the analytical and numerical solution of a two-dimensional problem for a transversely isotropic generalized thermoelastic medium. The study is carried out in the context of generalized thermoelasticity proposed by Green and Naghdi's theory of type II. The problem has been solved analytically using the normal mode method with the eigenvalue approach and numerically using a finite element method. The accuracy of the finite element formulation was validated by comparing the analytical and numerical solutions for the field quantities.
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页码：294 / 301
页数：8
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