Open Access

ARTICLE

Numerical Solution of a Problem of Thermal Stresses of a Magnetothermoelastic Cylinder with Rotation by Finite-Difference Method

by F. S. Bayones¹, A. M. Abd-Alla², A. M. Farhan^3,4,*

1 Department of Mathematics and Statistics, College of Science, Taif University, Taif, 21944, Saudi Arabia
2 Department of Mathematics, Faculty of Science, Sohag University, Egypt
3 Physics Department, Faculty of Science, Jazan University, Jazan, Saudi Arabia
4 Physics Department, Faculty of Science, Zagazig University, Zagazig, Egypt

* Corresponding Author: A. M. Farhan. Email:

Computers, Materials & Continua 2021, 68(3), 3339-3352. https://doi.org/10.32604/cmc.2021.016021

Received 19 December 2020; Accepted 22 January 2021; Issue published 06 May 2021

Abstract

The present article deals with the investigation thermal stress of a magnetothermoelastic cylinder subjected to rotation, open or closed circuit, thermal and mechanical boundary conditions. The outer and inner surfaces of the cylinder are subjected to both mechanical and thermal boundary conditions. A The transient coupled thermoelasticity in an infinite cylinder with its base abruptly exposed to a heat flux of a decaying exponential function of time is devised solve by the finite-difference method. The fundamental equations’ system is solved by utilizing an implicit finite-difference method. This current method is a second-order accurate in time and space; it is also unconditionally stable. To illustrate the present model’s efficiency, we consider a suitable material and acquire the numerical solution of temperature, displacement components, and the components of stresses with time t and through the radial of an infinite cylinder. The results indicate that the effect of coupled thermoelasticity, magnetic field, and rotation on the temperature, stresses, and displacement is quite pronounced. In order to illustrate and verify the analytical developments, the numerical solution of partial differential equations, stress components, displacement components and temperature is carried out and computer simulated results are presented graphically. This study is helpful in the development of piezoelectric devices.

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Keywords

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