Weight functions and stress intensity factors for corner quarter-elliptical crack in finite thickness plate subjected to in-plane loading

摘要

Approximate weight functions for the profile and frontal plane crack front points of a corner quarter-elliptical crack in finite thickness plate, subjected to mode I, in-plane loading, were derived by using the method of universal weight functions by Shen and Glinka (Engineering Fracture Mechanics, 1991, 40, 1135-1146; Theoretical and Applied Fracture Mechanics, 1991, 15, 247-255.) Closed form expressions were obtained for the coefficients of the weight functions. The coefficients were derived from the reference stress intensity factor solutions obtained by Shiratori and Miyoshi (Stress Intensity Factors Handbook, Vol. 3, ed. Murakami et al. Pergamon, New York, 1992, pp.591-597.) using the finite element method. A comparison of the stress intensityfactors calculated using the weight functions with the finite element data for various applied stress distributions shows good accuracy of the present results.