Plane strain finite element analysis of pressure sensitive plasticity with strong discontinuity

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A contact algorithm for frictional crack propagation with the extended finite element method (2008, methodology): “We remark that the above expression for the infinitesimal strain tensor has additional terms associated with ∇s̃u arising from the gradient of the discontinuous part of u, which has been ignored in the formulation of [14–17, 19–21].”
Modeling quasi-static crack growth with the extended finite element method Part I: Computer implementation (2003, background): “Applications and extensions of this approach have been proposed by many researchers for pre- as well as post-localization analyses (Armero and Garikipati, 1996; Sluys and Berends, 1998; Larsson and Runesson, 1996; Larsson et al., 1999; Regueiro and Borja, 2001; Bolzon and Corigliano, 2000).”