A phase field method to simulate crack nucleation and propagation in strongly heterogeneous materials from direct imaging of their microstructure

By Thanh Tung Nguyen, Julien Yvonnet, Qizhi Zhu, M. Bornert, C. Chateau. 2015

282 citations recorded by the source corpus.

Subfields: Mechanics of Materials, Ocean Engineering

View Paper: https://www.semanticscholar.org/paper/ec3e0e8221aeadf61ed622a642edd0b373ae7366

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In Mechanics of Materials

In Ocean Engineering

J. Réthoré

Citations in the corpus

A phase-field method for computational modeling of interfacial damage interacting with crack propagation in realistic microstructures obtained by microtomography (2016, unknown): “The technique has proved to be very well suited to the simulation of microcracking in complex voxel-based models of concrete microstructures in [27].”
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, methodology): “In this work, a common variant is used [30,42,43], when the iteration around the two decoupled problems is not performed.”
On the choice of parameters in the phase field method for simulating crack initiation with experimental validation (2016, unknown): “where ε is the linearized strain tensor and 〈x〉± = (x ± |x |) /2 and ε± are compression and tensile parts of the strain tensor (see e.g. Miehe et al. 2010; Nguyen et al. 2015).”
Initiation and propagation of complex 3D networks of cracks in heterogeneous quasi-brittle materials: Direct comparison between in situ testing-microCT experiments and phase field simulations (2016, background): “For more details and practical implementation aspects, the interested reader can refer to Miehe et al. (2010); Nguyen et al. (2015).”
Phase-field modeling of anisotropic brittle fracture including several damage mechanisms (2018, unknown): “…the longitudinal ε 11 or transverse strain ε 22 as follows: where and ± = ( ± | (cid:63) | ) / 2 denotes the positive/negative part of (cid:63) . also be (cid:104) (cid:105) Splitted strain projection operators can easily adapted from [10] to avoid the non-linearity of the previous decomposition.”
Multi-phase-field modeling of anisotropic crack propagation for polycrystalline materials (2017, unknown): “yields that for ḋi > 0, Fi = 0 for each damage system, which gives (see more details in [36,39]): Fi = − e u (u, di ) ∂di − gcδγi (di ,∇di ,ωi ) = 0.”
Phase field modelling of anisotropic crack propagation (2017, methodology): “For this purpose, Nguyen et al. (2015a) recently proposed a framework to integrate cohesive interfaces within a phase field model.”
Prediction of composite microstructure stress-strain curves using convolutional neural networks (2020, background): “…of the curvilinear cracks, such as the crack phase ﬁ eld model, are computationally expensive and time-consuming because a very ﬁ ne mesh is required to accommodate highly concentrated stress ﬁ eld near crack tip and the rapid variation of damage parameter near diffusive crack surface [14 – 21].”