Solution of a problem of thermal stresses in a non-homogeneous thermoelastic infinite medium of isotropic material by finite difference method

• Published in: Journal of ocean engineering and science Vol. 4; no. 3; pp. 256 - 262
• Main Authors: Farhan, A.M., Abd-Alla, A.M., Khder, Moaiad A.
• Format: Journal Article
• Language: English
• Published: Elsevier B.V 01-09-2019; Elsevier
• Subjects: Finite difference; Method; Non-homogeneous medium; Thermal stress; Thermoelasticity; Wave propagation; Thermal stress; Finite difference; Thermoelasticity; Wave propagation; Method; Non-homogeneous medium
• ISSN: 2468-0133; 2468-0133
• DOI: 10.1016/j.joes.2019.05.001

•The present investigation is concerned the concealed characteristics on the propagation behaviour of isotropic inhomogeneity thermoelastic medium containing a half-space or an infinite space with a cylindrical.•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 numerical values of the moduli of thermoelastic infinite medium are depicted graphically to estimate and highlight the effects of inhomogeneity.
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.