Combining thermoelastic and stress function to evaluate individual stresses around a near-edge hole

Abstract

Individual stresses are determined on and near the edge of a hole which is located below a concentrated edge-load in an approximate half-plane. Experimental thermoelastic data are combined with an Airy’s stress function. Coefficients of the stress function are evaluated from the recorded TSA data and the traction-free conditions on the hole boundary are satisfied by imposing srr = trq = 0 on the edge of the hole for all values of the angle q. This advantageously enables one to reduce the number of coefficients in the stress function series. The method simultaneously smoothes the measured input data, satisfies the traction-free boundary conditions and evaluates individual stresses on, and in the neighborhood of, the edge of the hole