Generalized thermoelastic interaction in a two-dimensional orthotropic material caused by a pulse heat flux

Abstract

This work is carried out using the generalized thermoelastic model to study the variation of temperature, the stresses, and displacement components in a two-dimensional orthotropic elastic material. The Fourier–Laplace integral transforms to get the analytical solution of the problem, the basic formulations of the two-dimensional problem are expressed as matrix-vector forms, which are then solved by the eigenvalue technique. Numerical techniques are used for the inverse process of the Laplace and Fourier transform. The results of all the variables considered are implemented and represented graphically. The outcomes of the current model are compared with those of the existent model of thermoelasticity.

KEYWORDS:

• Thermal relaxation time
• Laplace–Fourier transforms
• orthotropic elastic material
• eigenvalue approaches

Disclosure statement

No potential conflict of interest was reported by the author(s).

Additional information

Funding

This work was supported by the Deanship of Scientific Research (DSR), King Abdulaziz University, Jeddah, under grant No. (D-250-130-1439). The authors acknowledge the technical and financial support provided by DSR.