J. KSIAM Vol.24, No.3, 293–303, 2020 http://dx.doi.org/10.12941/jksiam.2020.24.293 TRANSIENT THERMOELASTIC STRESS ANALYSIS OF A THIN CIRCULAR PLATE DUE TO UNIFORM INTERNAL HEAT GENERATION KISHOR R. GAIKWAD 1† AND YOGESH U. NANER 1 1 PG DEPARTMENT OF MATHEMATICS, NES, SCIENCE COLLEGE,NANDED, M.S., I NDIA-431601. Email address: † drkr.gaikwad@yahoo.in, ynaner@gmail.com ABSTRACT. The present work aims to analyzed the transient thermoelastic stress analysis of a thin circular plate with uniform internal heat generation. Initially, the plate is characterized by a parabolic temperature distribution along the z-direction given by T = T0(r, z) and perfectly insulated at the ends z =0 and z = h. For times t> 0, the surface r = a is subjected to convection heat transfer with convection coefficient hc and fluid temperature T∞. The integral transform method used to obtain the analytical solution for temperature, displacement, and ther- mal stresses. The associated thermoelastic field is analyzed by making use of the temperature and thermoelastic displacement potential function. Numerical results are carried out with the help of computational software PTC Mathcad Prime-3.1 and shown in figures. 1. I NTRODUCTION Nowacki [1] has studied the steady-state thermoelastic problem of a thick circular plate sub- ject to axisymmetric temperature distribution on the upper surface with the lower surface is kept at zero temperatures and the fixed circular edge is thermally insulated. The direct ther- moelastic problem of normal deflection due to axisymmetric heat supply on a circular plate in the case of fixed and simply supported edges have been considered in [2]. The approximate analytical and the exact solutions of the one-dimensional transient thermoelastic problems of heat flux and temperature determination on the surface of an isotropic infinite slab presented in [3]. Theoretical analysis of a three-dimensional transient thermoelastic problem of a non- homogeneous hollow circular cylinder due to a moving heat source in the axial direction from the inner and outer surfaces were presented in [4]. The transient thermoelastoplastic bending problems making use of the strain increment theorem and thermoelastic deformation of the circular plate due to a partially distributed heat supply was studied in [5]. The transient heat conduction and analysis of thermal stresses in a thin circular plate subjected to some different types of boundary conditions were presented in [6]. Some contributions of this theory are given Received by the editors May 16 2020; Revised August 29 2020; Accepted in revised form September 7 2020; Published online September 25 2020. 2000 Mathematics Subject Classification. 35B07, 35G30, 35K05, 44A10. Key words and phrases. Thermal Stresses, Displacement Function, Thermoelastic Problem, Uniform Heat Gen- eration, Thin Circular Plate. † Corresponding author. 293