Gradient damage models coupled with plasticity: Variational formulation and main properties

By Roberto Alessi, Jean-Jacques Marigo, S. Vidoli. 2015

224 citations recorded by the source corpus.

Subfields: Materials Chemistry, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/df79fd6680b011e7f39d78aaad3a34188abe52f1

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In Materials Chemistry

In Mechanics of Materials

Citations in the corpus

A framework to model the fatigue behavior of brittle materials based on a variational phase-field approach (2018, background): “Although alternatives are proposed in the literature [42–44], the present work is limited to the analysis of the well known relationship [18, 31, 38] g(d) = (1− d) .”
Comparison of Phase-Field Models of Fracture Coupled with Plasticity (2018, methodology): “[1, 2, 3] (1− d)2 k − (k − 1)(1− d)2 ψe(ε− p) — 3Gc 8 ( d ` + `|∇d|(2) ) (1− d)2n σpα”
Coupling damage and plasticity for a phase-field regularisation of brittle, cohesive and ductile fracture: One-dimensional examples (2017, unknown): “In Section 2 , the main ingredients of the gradient damage-plasticity model of [5,6] are recalled.”
On penalization in variational phase-field models of brittle fracture (2018, background): “extended to ductile (elasto-plastic) fracture [27, 28, 29, 30, 31, 32, 33], fracture in films [34, 35], shells [36, 37, 38, 39], fracture under thermal loading [40, 41, 42], hydraulic fracture [43, 44, 45, 46, 47, 48], fracture in porous media [49, 50, 51], anisotropic fracture [52, 53, 54, 55, 56, ”
An overview of the modelling of fracture by gradient damage models (2016, unknown): “It would require to change the form of the strain energy by introducing plastic strains and by adding a plastic dissipated energy (possibly damage dependent), see [1, 2].”
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): “Several implementations were proposed to follow dynamic [46–52] and ductile [53–60] fracture.”
Phase‐field modeling of ductile fracture at finite strains: A robust variational‐based numerical implementation of a gradient‐extended theory by micromorphic regularization (2017, background): “[34], a model of gradient damage coupled with plasticity allows the nucleation of cohesive cracks, that is, the existence of a surface of discontinuity of displacements with nonvanishing stress.”