An approximate weight function for embedded elliptical cracks was deduced from the properties of weight functions and available analytical weight functions for penny shape and half plane cracks. The weight function was then validated against available exact stress intensity factor solutions for embedded elliptical cracks for several linear and non-linear stress distributions. The proposed weight function is suitable for the calculation of stress intensity factors for embedded elliptical cracks under any stress distribution.

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Keywords Embedded elliptical crack, Stress intensity factor, Weight function
Journal Engineering Fracture Mechanics
Wang, X, Lambert, S.B. (Stephan B.), & Glinka, G. (Gregory). (1998). Approximate weight functions for embedded elliptical cracks. Engineering Fracture Mechanics, 59(3), 381–392.