Extracting edge flux intensity functions along an elliptical 3-D singular edge by the quasidual function method

Elliptical cracks are common in practice, as most cracks tend to propagate along semi-elliptical fronts. Herein we extend the quasidual function method (QDFM) for the computation of edge flux intensity functions (EFIFs) along elliptical cracks and generalized EFIFs along elliptical V-notches in 3-D domains. This QDFM is used to extract EFIFs from finite element solutions away from the singular edge and are given by a functional representation along the edge and not point-wise. The mathematical analysis of the QDFM is provided, followed by numerical examples demonstrating its efficiency and accuracy. Here we consider the Laplace operator, which provides a convenient framework for the extension of the QDFM for the elasticity operator.