Thermoelastic Problems Of Annular Disc Due To Heat Generation

Abstract

The first problem deals with the determination of thermal deflection , displacement and
stress functions of a thin annular disc defined as b r a ? ? ; h z h ? ? ? due to internal heat
generation within it. An annular disc is considered having arbitrary initial temperature and subjected
to radiation type boundary. The second problem deals with the determination of temperature
distribution , displacement and stress functions of a thick annular disc defined as b r a ? ? ;
h z h ? ? ? due to internal heat generation within it. An annular disc is considered having arbitrary
initial temperature and subjected to radiation type boundary conditions which are fixed at ) ( ar =
and ) ( br = . The non homogeneous type boundary conditions are maintained at plane surfaces of the
disc. The governing heat conduction equation has been solved by using integral transform technique.
The results are obtained in series form in terms of Bessel’s functions. As a special case, Aluminium
metallic plate has been considered and the results for temperature distribution, thermal deflection,
displacement function and stresses have been computed numerically and are illustrated graphically.