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    The formulations are tailored for the Generalized Finite Element Method and mixed-mode 3-D propagating cracks. The case of crack faces loaded by prescribed tractions is also considered. Another contribution of this paper is a procedure to control the noise of extracted SIFs based on the Moving Least Squares Method.

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As a result, the crack development inside the specimen is unmonitored. Such being the limits of testing, finite-element (FE) analysis can be a valuable alternative for the study of splitting crack 3D nature and for a better understanding of bond behaviour. However, FE studies are limited by the intrinsic difficulty in correctly modelling the bond.

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A three-dimensional extended finite element method (X-FEM) coupled with a narrow band fast marching method (FMM) is developed and implemented in the Abaqus finite element package for curvilinear fatigue crack growth and life prediction analysis of metallic structures. Given the level set representation of arbitrary crack geometry, the narrow band FMM provides an efficient way to update the level set values of its evolving crack front.

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