Communications of the
Korean Mathematical Society CKMS

The present paper deals with the determination of displacement and thermal stresses in a semi-infinite circular cylinder defined as $0\le r\le b,\, \, 0\le z<\infty $, due to internal heat generation within it. A circular cylinder is considered having arbitrary initial temperature and subjected to time dependent heat flux at the fixed circular boundary $\left(r=b\right)$ whereas the zero temperature at the lower surface $(z=0)$ of the semi-infinite circular cylinder. The governing heat conduction equation has been solved by using integral transform method. The results are obtained in series form in terms of Bessel functions. The results for displacement and stresses have been computed numerically and illustrated graphically.

Keywords: thermoelastic problem, non-homogeneous heat conduction equation, internal heat generation, semi-infinite circular cylinder

MSC numbers: Primary 58B34, 58J42, 81T75