Effect of Michell function on the thickness of circular plate with internal heat generation

Abstract

The present paper deals with the determination of displacement and thermal transient stresses in a thick ( ) circular plate with internal heat generation. External arbitrary heat supply is applied at the upper surface of a thick ( ) circular plate, whereas the lower surface of a thick ( ) circular plate is insulated and the heat is dissipated due to convection in surrounding through lateral surface. Here we compute the effect of Michell function on the thickness of circular plate with internal heat generation. The governing heat conduction equation has been solved by using integral transform method and the results are obtained in series form in terms of Bessel's functions and the results for temp erature change and stresses have been computed numerically and illustrated graphically. Keywords:Thick plate ( ) Thin plate ( ) , internal heat generation, thermal stresses.