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In this work, a fractional-order theory of thermoelasticity by quasi-static approach is applied to the two-dimensional problem of a thin circular plate whose lower surface is maintained at zero temperature, whereas the upper surface is insulated and subjected to a constant temperature distribution. Integral transform technique is used to derive the solution in the physical domain. The corresponding thermal stresses are found using the displacement potential function.

We consider a thin circular plate and discuss the thermoelastic problem. To develop the analysis for the temperature field, we introduce the method of integral transforms. The results, obtained in a series form in terms of Bessel functions, are illustrated numerically.Nowacki [1] has determined the steady-state thermal stresses in a circular plate subjected to an axisymmetric temperature distribution on the upper face with zero temperature on the lower face and with the circular edge thermally insulated. Roy Choudhuri [2] has succeeded in determining the quasi-static thermal stresses in a thin circular plate subjected to transient temperature along the circumference of a circle over the upper face with the lower face at zero temperature and the fixed circular edge thermally insulated. Wankhede [3] has determined the quasi-static thermal stresses in a circular plate subjected to arbitrary temperature on the upper face with the lower face at zero temperature and the fixed circular edge thermally insulated. The problems of the thermal deflection of an axisymmetrically heated circular plate in the case of fixed and simply supported edges have been considered by Boley and Weiner [4]. Roy Choudhuri [5] discussed the normal deflection ofa thin clamped circular plate due to ramp-type heating of a concentric circular region of the upper face and the lower face of the plate kept at zero temperature while the circular edge is thermally insulated. Deshmukh and Khobragade [6] determined a quasi-static