STUDY ON INVERSE THERMOELASTIC RESPONSE OF A SEMI-INFINITE SOLID CYLINDER EMPLOYING THE TIME-FRACTIONAL HEAT CONDUCTION EQUATION

Abstract

The ability to evaluate material integrity and qualities without inflicting damage is made possible by the inverse thermoelastic process, which is crucial in sectors like manufacturing and aerospace design. Additionally, by looking at temperature and stress patterns, inverse thermoelastic problems can check the state of structures and help avoid possible failures in various designs. So far, most of this research has concentrated on modelling the direct thermoelasticity problem with a fractional approach. Using a quasi-static approach, the authors aim to address this research gap by exploring how a semi-infinite solid cylinder reacts to heat within the framework of the time fractional heat conduction equation. We estimate the temperature distribution and unknown heating temperatures on the curved surface of the circular cylinder. The lower surface of the cylinder is maintained at zero temperature. In an unsteady state, the circular cylinder is exposed to a temperature that is arbitrarily known. Further, using the integral transform technique, solutions to the heat conduction equation are obtained. Finally, a numerical analysis was performed on copper, and the behaviour of temperature and stress is examined and graphically represented for different fractional time values.