Phase field modeling of ductile fracture at finite strains: A variational gradient-extended plasticity-damage theory

By C. Miehé, Fadi Aldakheel, A. Raina. 2016

411 citations recorded by the source corpus.

Subfields: Materials Chemistry, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/e2a959250254a355d671bdf270701b6d642a6c54

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In Materials Chemistry

In Mechanics of Materials

Citations in the corpus

An efficient phase-field model for fatigue fracture in ductile materials (2019, background): “[42], where a single-edge notched specimen is subjected to static shear loading.”
The phase field method for geometric moving interfaces and their numerical approximations (2019, neutral): “One may further incorporate other features to model ductile fracture [14, 324] and fluid-filled fracture [423], and utilize various discretization techniques, see recent discussions in [253, 446].”
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): “[39, 67] that couples gradient plasticity to gradient damage at finite strains.”
Crack nucleation in variational phase-field models of brittle fracture (2018, positive): “They have been expended to account for dynamic eﬀects, ductile behavior [2, 71, 3], cohesive eﬀects [33, 32, 42], large deformations [4, 70, 14], or anisotropy [63], for instance.”
Phase-field modeling of anisotropic brittle fracture including several damage mechanisms (2018, positive): “These approaches have been successfully applied to problems involving hydraulic fracture in porous media [6, 7], heterogeneous materials [8–11], ductile behaviors [12–15], ﬁnite deformation [16–18], thermal loading [19], fracture and debonding of thin ﬁlms [20, 21], fatigue eﬀects [22], etc.”
2D and 3D Abaqus implementation of a robust staggered phase-field solution for modeling brittle fracture (2017, background): “Present implementation gives a transparent code which can be developed further in order to model large strains [22], plasticity near cracks [37], snapback effects [23] or even dynamic fracture [21] in glass [38].”
A phase field formulation for hydrogen assisted cracking (2018, methodology): “The model builds upon Griffith’s thermodynamics framework and has not only been successfully applied to model brittle fracture but also to ductile damage [18,19], hydraulic fracturing [20,21], composites delamination [22,23], and stress corrosion cracking [24,25], to name a few.”
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): “After certain algebraic manipulations Miehe [55] achieved a very similar form to their original formulation: where t ( d ) will act as a threshold energy in the staggered formulation (see later): ψ c = g c / 2 l c was chosen, as a result w 0 became identical to Eq.”
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, ”