Generalized thermoelsticity of the thermal shock problem in an isotropic hollow cylinder and temperature dependent elastic moduli |
| |
| Authors: | Ibrahim A Abbas and Mohamed I A Othman |
| |
| Institution: | Department of Mathematics, Faculty of Science and Arts - Khulais, King AbdulAziz University, Jeddah, Saudi Arabia; Department of Mathematics, Faculty of Science, Sohag University, Sohag, Egypt; Department of Mathematics, Faculty of Science, Zagazig University, P.O. Box 44519, Zagazig, Egypt |
| |
| Abstract: | In this paper, we construct the equations of generalized thermoelasicity for a non-homogeneous isotropic hollow cylider with a variable modulus of elasticity and thermal conductivity based on the Lord and Shulman theory. The problem has been solved numerically using the finite element method. Numerical results for the displacement, the temperature, the radial stress, and the hoop stress distributions are illustrated graphically. Comparisons are made between the results predicted by the coupled theory and by the theory of generalized thermoelasticity with one relaxation time in the cases of temperature dependent and independent modulus of elasticity. |
| |
| Keywords: | generalized thermoelsticity thermal shock temperature dependent elastic moduli finite element method |
|
| 点击此处可从《中国物理 B》浏览原始摘要信息 |
| 点击此处可从《中国物理 B》下载免费的PDF全文 |
|
