Thermal Stress in the Neighbourhood of an Infinite Row of Holes in a Plate under Uniform Heat Flow

Abstract

A linear thermoelastic problem is solved for a uniform heat flow disturbed by an infinite row of equal and equally spaced and insulated holes in a plate of indefinite extent. By cancelling the relative displacement caused by the presence of the holes and preserving the continuity across the each interior surface, a solution for the problem is obtained in a form of stress function defined by a series of periodic functions and the stress distributions given by the numerical calculations are shown in figures.