Fatigue life and crack path predictions in generic 2D structural components

By A. Miranda, Marco Antonio Meggiolaro, J.T.P. Castro, L. F. Martha, T. Bittencourt. 2003

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The numerical simulation of fatigue crack growth using extended finite element method (2012, result): “A comparison of XFEM results with those obtained by re-meshing approach (ANSYS) and experimental results has also been presented [31–35] for fewmodel problems.”
Abaqus implementation of extended finite element method using a level set representation for three-dimensional fatigue crack growth and life predictions (2010, methodology): “It is convenient to estimate displacement jumps at a point on the crack surface using: U x,y, z = u ξ, η, ζ = Ni ζ, η, ξ H x ,y, z − H x,y, z bi + i Ni ζ, η, ξ Ψ1 x ,y, z − Ψ1 x ,y, z c1i i (28) where x,y, z and ξ, η, ζ are global and local coordinates of the sampling point; x,y, z and x,y, z are co”