A phase‐field model for cohesive fracture

By Clemens V. Verhoosel, R. de Borst. 2013

432 citations recorded by the source corpus.

Subfields: Computational Mechanics, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/3cda2582df7e64b638afe09ca0e44d5fc97f299d

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In Computational Mechanics

In Mechanics of Materials

Citations in the corpus

Pressure and fluid-driven fracture propagation in porous media using an adaptive finite element phase field model (2016, neutral): “The velocity is defined by Darcy law, v = −K η (∇p− ρFg) in Ω× (0, T ], (7) where η is the fluid viscosity, ρF is the fluid density, and K is the permeability.”
Dynamic crack propagation with a variational phase-field model: limiting speed, crack branching and velocity-toughening mechanisms (2017, methodology): “Continuum descriptions of cohesive fractures have also been proposed using the phase-field approach [43, 65], continuum damage-gradient [41] or the thick-level set (TLS) method [47], see also [15] for a comparison between the TLS and the phase-field approach.”
A higher-order phase-field model for brittle fracture: Formulation and analysis within the isogeometric analysis framework (2014, background): “See Verhoosel and de Borst [38] for a discussion on the use of phase-field models for cohesive fracture.”
Phase field modeling of quasi-static and dynamic crack propagation: COMSOL implementation and case studies (2018, background): “The progress in the phase-field models for quasi-static and dynamic crack problems has made PFM successfully applied in different problems, such as cohesive fractures [29], ductile fractures [30, 31], large strain problems [25], hydraulic fracturing [32], thermo-elastic problems [33, 34], electroche”
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”
Thermodynamically consistent algorithms for a finite‐deformation phase‐field approach to fracture (2014, background): “t/ for l ! 0, compare with [3, 17, 19, 20].”
Multi-phase-field modeling of anisotropic crack propagation for polycrystalline materials (2017, positive): “It has been shown in [46] that in this context, the auxiliary field is required to be constant in the normal direction of the grain boundary: ∂v ∂nΓB = 0.”