Effect of Thermosensitivity on Heat Conduction and Stresses of a Multilayered Annular Disk

Abstract

This paper deals with the analysis of temperature, deflection and thermal stresses of a multilayered annular disk. The thermo-mechanical properties of the disk are taken to be temperature dependent. Using Kirchhoff’s variable transformation, the non-linear heat conduction equation is reduced to a linear form. Finite integral transform, Fourier series and Fourier transform techniques are used to solve the heat conduction equation and the desired solution is obtained in series form. Deflection, thermally induced resultant moments and the corresponding thermal stresses are determined. Numerical analysis is carried out for a three layered annular disk and the results are depicted graphically. Thermosensitivity plays a vital role in the thermal profile of the multilayered disk. In the temperature dependent case, the radial stress suddenly becomes compressive in the middle region, whereas it is tensile throughout all the regions in the temperature independent case. Due to the inhomogeneous thermal conductivity considered in the form of exponential function, the temperature and the corresponding thermoelastic quantities shows the lag along radial direction.