Some thermal stress problems in a semi-infinite plate with two circular holes.

Abstract

Some thermal stress problems are solved for a semi-infinite plate with two circular holes. The axis connecting their centers is parallel to the straight edge. The following four thermal loadings are considered. (1) The two holes are heated by the same prescribed temperatures T0, and the temperature is zero on the straight edge and at infinity. (2) The two holes are heated by prescribed temperatures T0 and -T0 respectively, and the temperature is zero on the straight edge and at infinity. (3) The two holes are insulated and heated by a uniform heat flow vertical to the straight edge which is kept at a constant temperature. (4) The tow holes are insulated and heated by a uniform heat flow parallel to the straight edge which is insulated. Numerical results are obtained for the plate with holes having radius/half pitch or radius/ distance from edge of 0.1-0.95 and are given in the form of curves. The effects of the presence of a hole or a straight edge on the magnitude of thermal stress concentration in a semi-infinite plate with a hole or in an infinite plate with two holes are clarified. The numerical results of the latter two problems are also given newly and show good agreement with the results available.