(7)Solution of a problem of thermal stresses in a non-homogeneous thermoelastic infinite medium of isotropic material by finite difference method
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A.M. Farhan a,b, A.M. Abd-All a,c, ∗, Moaiad A. Khder d
a Physics Department, Faculty of Science, Jazan University, Saudi Arabia
b Physics Department, Faculty of Science, Zagzig University, Egypt
c Mathematics Department, Faculty of Science, Sohag University, Egypt
d Department of Computer Science, Applied Science University, Bahrain
Received 21 February 2019; received in revised form 4 May 2019; accepted 4 May 2019
Available online 17 May 2019
Abstract
The present work deals with a new problem of thermoelasticity for an infinitely long and isotropic circular cylinder of temperature dependent physical properties. The inner and outer curved surfaces of the cylinder are subjected to both the mechanical and thermal boundary conditions. A finite difference model is developed to derive the solution of the problem in which the governing equations are uncoupled linear partial differential equations. The transient solution at any time can be evaluated directly from the model. In order to demonstrate the efficiency of the present model we consider a suitable material and obtain the numerical solution of displacement, temperature, and stresses inside the cylinder for the homogeneous-dependent material properties of the medium. The results are analyzed with the help of different graphical plots.
© 2019 Shanghai Jiaotong University. Published by Elsevier B.V.
This is an open access article under the CC BY-NC-ND license. (http://creativecommons.org/licenses/by-nc-nd/4.0/)
Keywords: Thermal stress; Thermoelasticity; Wave propagation; Finite difference; Method; Non-homogeneous medium.