Regularized variational theories of fracture: A unified approach

By Francesco Freddi, G. Royer-Carfagni. 2010

262 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/b67341116a393e7a9451718a37da4287f0568406

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In Mechanics of Materials

Citations in the corpus

An open-source Abaqus implementation of the phase-field method to study the effect of plasticity on the instantaneous fracture toughness in dynamic crack propagation (2020, background): “…materials, we consider: While for the ductile case, we assume that the material is damaged equally under the shear in compression and extension [37,72]: The overall strain field is divided into elastic ( ε el ) and plastic parts ( ε pl ): While assuming small deformations, where the strains are…”
Coupling damage and plasticity for a phase-field regularisation of brittle, cohesive and ductile fracture: One-dimensional examples (2017, unknown): “The variational approach of brittle fracture and the associated regularised formulations [22, 21, 23, 38] are nowadays widely adopted in computational mechanics.”
On penalization in variational phase-field models of brittle fracture (2018, background): “An idea similar to the latter one is also developed in Freddi and Royer-Carfagni [11, section 3.4].”
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].”
A framework to model the fatigue behavior of brittle materials based on a variational phase-field approach (2018, background): “This is usually termed axial splitting failure mode [49].”
Phase-field models for brittle and cohesive fracture (2014, unknown): “…state reads: This formulation was subsequently reﬁned to account for the fact that damage evolution occurs under different straining modes [1, 4, 13, 17], and it was assumed that the elastic energy of the undamaged state can be additively decomposed into a damaged and an intact part, w 0 ¼ w þ…”
Phase field modelling of anisotropic crack propagation (2017, background): “For more details and practical implementation aspects, the interested reader may refer to Freddi and Royer-Carfagni (2010).”
Phase-field modeling of anisotropic brittle fracture including several damage mechanisms (2018, unknown): “If diﬀerent ways of distinguishing between tension and compression exist for isotropic models [29, 52], the situation is here clearer due to the preferential direction induced by the material orthotropic directions.”