Phase field approximation of dynamic brittle fracture

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Modified Newton methods for solving fully monolithic phase-field quasi-static brittle fracture propagation (2017, background): “directions as attested in papers on various solution techniques [39, 50, 53, 1, 3, 48, 27, 74, 24], isogeometric analysis [12, 11, 34, 4, 33], discontinuous/enriched Galerkin [23, 58], adaptive (spatial) discretizations [18, 19, 8, 72], dynamic fracture [40, 41, 12, 16, 35, 62], ductile/cohesive fra”
An overview of the modelling of fracture by gradient damage models (2016, unknown): “Nowadays the so-called phase-field models of fracture are extensively adopted in computational mechanics to study fracture phenomena [27, 20, 44, 26, 33, 10, 28].”
Pressure and fluid-driven fracture propagation in porous media using an adaptive finite element phase field model (2016, methodology): “In particular, mesh refinement allows us to perform systematic studies with respect to the spatial discretization parameter.”
Goal functional evaluations for phase-field fracture using PU-based DWR mesh adaptivity (2016, background): “, [39,16,36,51,3]) and likewise theoretical advancements based on energy minimization concepts treated with calculus of variations techniques [25,20]; systematic studies towards goal functional evaluations and a posteriori error estimation with local mesh adaptivity are rarely to find.”