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