Weighting-function construction for an elliptical normal-detachment crack in an unbounded body

Weighing-function expressions are given for an elliptic normal-detachment crack in an infinite body, which have been used to calculate K₁ for uniform and linear load distributions in the range in (ratio of the minor and major axes of the ellipse) from 0.2 to 1. These K₁ are compared with theoretical values to judge the accuracy of the weighing functions. Good accuracy (about 6%) is provided by the weighing functions constructed with elliptic coordinates and on the bases of the Oore- Burns general treatment in combination with Rice's formula, apart from points on the major axis. An integral condition is derived for the weighing function, and this is used in refinement of the unknown weighing function.Translated from Problemy Prochnosti, No. 5, pp. 60–69, May, 1993.