New finite elements with embedded strong discontinuities in the finite deformation range

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A new generalized finite element method for two‐scale simulations of propagating cohesive fractures in 3‐D (2015, background): “Representative examples include cracks in concretes [1] or rocks [2], shear banding in soils [3, 4] or metals [5] or frictional solids [6], failure mode transition in ductile materials [7, 8], and delamination in composite materials [9], to mention a few for an overview.”
Numerical simulation of dynamic fracture using finite elements with embedded discontinuities (2009, background): “We refer to Linder and Armero (2007) for complete details on these enhanced operators for strong discontinuities, and to Armero and Linder (2008) for the extension of these considerations to the finite deformation case.”
New finite elements with embedded strong discontinuities for the modeling of failure in electromechanical coupled solids (2011, methodology): “Improvements with regard to the kinematic representation of the strong discontinuities for plane continuum problems are made in Linder and Armero [34] within the infinitesimal theory and in Armero and Linder [7] within the finite deformation context with the goal to avoid locking phenomena through t”