Generalized thermoelastic interaction in an isotropic solid cylinder without energy dissipation

International Conference on Materials Engineering and Applications

Alshaikh, Fatimah^1

Department of Mathematics, Faculty of Science, Jazan University, Jazan

2097, Saudi Arabia^1

关键词: Eigen-value approach;    Generalized thermoelastic;    Governing equations;    Green and Naghdi theories;    Isotropic solids;    Numerical results;    Vector-matrix differential equation;    Without energy dissipation;   

Others  :  https://iopscience.iop.org/article/10.1088/1757-899X/348/1/012019/pdf
DOI  :  10.1088/1757-899X/348/1/012019

来源: IOP

【 摘 要 】

In this paper, we constructed the generalized thermoelastic equations of an isotropic solid cylinder. The formulation is applied in the context of Green and Naghdi theory of types II (without energy dissipation). The material of the cylinder is supposed to be homogeneous isotropic both mechanically and thermally. The governing equations have been written in the form of a vector-matrix differential equation in the Laplace transform domain, which is then solved by an eigenvalue approach. Numerical results for the temperature distribution, displacement and radial stress are represented graphically.