Authors: Kishor R. Gaikwad
Addresses: PG Department of Mathematics, NES, Science College, Nanded, MS, 431602, India
Abstract: The aim of this work is to determine the temperature, displacement function, thermal stresses and thermal deflection of a thin circular plate defined as 0 ≤ r ≤ a, 0 ≤ z ≤ h under an unsteady temperature field due to internal heat generation within it. Initially, the plate is kept at an arbitrary temperature F(r, z). For times t > 0, heat is generated within the thin circular plate at a rate of g(r, z, t) W. m-3. The governing heat conduction equation has been solved by generalised finite Fourier transform and finite Hankel transform technique. The results are obtained in a series form in terms of Bessel's functions. The results for temperature, displacement function, thermal stresses and thermal deflection have been computed numerically and are illustrated graphically.
Keywords: inverse thermoelastic problem; thermal deflection; circular plate; heat generation; thermal stresses; axi-symmetric.
International Journal of Dynamical Systems and Differential Equations, 2019 Vol.9 No.2, pp.187 - 202
Received: 23 Aug 2017
Accepted: 10 May 2018
Published online: 27 Jun 2019 *