Modelling large crack propagation: from gradient damage to cohesive zone models

By E. Lorentz, Sam Cuvilliez, Kyrylo Kazymyrenko. International Journal of Fracture, 2012

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A phase-field formulation for dynamic cohesive fracture (2018, background): “lacement curves for p= 1, as indicated by 16. Given these conditions, we can eectively demonstrate the insensitively of the regularization length to the constitutive response. We refer the reader to Lorentz et al. (2012) for a more comprehensive analysis of this problem. u y = u u y = u 4000 mm 3000”
Phase-field modeling of hydraulic fracture (2016, background): “Examples of diffuse crack approaches include peridynamics([37,38]), gradient damage mechanics([39,40]), and the phase-field methods presented herein and by other recent studies([41-53]).”
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.”