Some study of effect of Michell’s function of thick circular plate with internal heat generation
Chetana Bhongade
Abstract
The present paper deals with the determination of
temperature, displacement and thermal stresses in a
thick (𝑀 ≠ 0) circular plates. A thick circular plate
is subjected to arbitrary known interior temperature
under steady state, the fixed circular edge of a
circular plate are thermally insulated and lower surface
of thick circular plate is at zero temperature. Here we
compute the effects of Michell’s function on the
thickness of circular plate by considering the
comparative study of thick and thin circular plate in
terms of stresses along radial direction and modify
Kulkarni (2008). The governing heat conduction equation
has been solved by the method of integral transform
technique. The results are obtained in a series form in
terms of Bessel’s functions. The results for stresses
have been computed numerically and illustrated
graphically.
Keywords: Thermal stresses, inverse problem, thick(M ≠
0) circular plate, thin(M = 0) circular plate.
