A level-set and anisotropic adaptive remeshing strategy for the modeling of void growth under large plastic strain

Roux, Émile; Bernacki, Marc; Bouchard, Pierre‐Olivier

doi:10.1016/j.commatsci.2012.10.004

Cited by 26 publications

(37 citation statements)

References 33 publications

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“…As noted in connection with mechanism 5 in figure 1, the role of clusters of voids on initiation of localization, microcracking and ductile tearing has received relatively little attention, even though observations in a variety of industrial metallic alloys suggest such behaviour is important. The role of triaxiality on critical cluster size [52] and the issue of localization owing to void growth as opposed to void coalescence are largely unexamined at the present time (see also the recent study [53]). …”

Section: Discussionmentioning

confidence: 99%

On localization and void coalescence as a precursor to ductile fracture

Tekoğlu

Hutchinson

Pardoen

2015

Phil. Trans. R. Soc. A.

133

110

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Two modes of plastic flow localization commonly occur in the ductile fracture of structural metals undergoing damage and failure by the mechanism involving void nucleation, growth and coalescence. The first mode consists of a macroscopic localization, usually linked to the softening effect of void nucleation and growth, in either a normal band or a shear band where the thickness of the band is comparable to void spacing. The second mode is coalescence with plastic strain localizing to the ligaments between voids by an internal necking process. The ductility of a material is tied to the strain at macroscopic localization, as this marks the limit of uniform straining at the macroscopic scale. The question addressed is whether macroscopic localization occurs prior to void coalescence or whether the two occur simultaneously. The relation between these two modes of localization is studied quantitatively in this paper using a three-dimensional elastic-plastic computational model representing a doubly periodic array of voids within a band confined between two semi-infinite outer blocks of the same material but without voids. At sufficiently high stress triaxiality, a clear separation exists between the two modes of localization. At lower stress triaxialities, the model predicts that the onset of macroscopic localization and coalescence occur simultaneously.

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Section: Discussionmentioning

confidence: 99%

On localization and void coalescence as a precursor to ductile fracture

Tekoğlu

Hutchinson

Pardoen

2015

Phil. Trans. R. Soc. A.

133

110

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“…The way in which coalescence is handled in the FE mesh, has been treated in detail in previous work [14]. The matrix is considered elasto-perfectly plastic (Young's modulus E = 210000MPa, Poisson's ratio ν = 0.3 and yield stress σ y = 290MPa) and the void phase is modeled as a compressible Newtonian fluid (viscosity η = 2.1MPa s −1 ); this approach has been previously validated [16]. A mixed velocity/pressure formulation with a P1+/P1 element is used [17].…”

Section: Numerical Frameworkmentioning

confidence: 99%

“…Sensitivity analyses with respect to the temporal and spatial discretizations were carried out in order to find optimal parameters in terms of precision and numerical cost. As in the work of Roux et al [16], an additional sensitivity analysis was carried out to verify that the mechanical properties of the void phase, and the resulting internal pressure in the voids, bears no influence on the considered observables. The unit-cell approach [18,19] has been very important in the development of the local approach to fracture.…”

Section: Numerical Frameworkmentioning

confidence: 99%

Void growth and coalescence in a three-dimensional non-periodic void cluster

Navas

Bernacki

Bouchard

2018

International Journal of Solids and Structures

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Void growth and coalescence are studied in this work through Finite Element simulations. A methodology for the study of threedimensional non-periodic configurations is proposed. In order to avoid the hypothesis of microstructural periodicity, a three-dimensional cluster with three initially spherical voids, is modeled. Multiple spatial configurations are simulated in a parametric study. The precoalescence behavior is detailed through the evolution of the volume of each void, the minimum intervoid distance, and the equivalent plastic strain in the middle of the shortest path between voids, and the resulting coalescence mechanism is described. Locally accelerated and non-homogeneous void growth is observed close to the localization band. Although only coalescence by internal necking is present, apparent void-sheet formation is observed if only a two-dimensional slice is considered. These observations, and a comparison with the RiceTracey growth model, highlight the importance of fully considering the three-dimensional complexity of the ductile damage micromechanisms.

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“…[44,57,46,58,47] is followed. The ROI selected for the FE simulations has to belong to all DVC ROIs for each analyzed loading step and to be made as large as possible [25].…”

Section: Simulationsmentioning

confidence: 99%

“…[39,40]). The Level-Set (LS) procedure [41,42], which is used herein, enables interfaces to be described in FE simulations under large deformations and complex topological events [43,44,45]. It is worth noting that regularity [46] and conservation [47] issues have to be handled with care.…”

Section: Introductionmentioning

confidence: 99%

Experimental-Numerical Validation Framework for Micromechanical Simulations

Buljac

Shakoor

Neggers

et al. 2017

Multiscale Modeling of Heterogeneous Structures

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A combined experimental-numerical framework is presented in order to validate computations at the microscale. It is illustrated for a flat specimen with two holes, which is made of cast iron and imaged via in situ synchrotron laminography at micrometer resolution during a tensile test. The region in the reconstructed volume between the two holes is analyzed via Digital Volume Correlation (DVC) to measure displacement fields. Finite Element (FE) simulations, whose mesh is made consistent with the studied material microstructure, are driven by measured Dirichlet boundary conditions. Damage levels and gray level residuals for DVC measurements and FE simulations are assessed for validation purposes.

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A level-set and anisotropic adaptive remeshing strategy for the modeling of void growth under large plastic strain

Cited by 26 publications

References 33 publications

On localization and void coalescence as a precursor to ductile fracture

On localization and void coalescence as a precursor to ductile fracture

Void growth and coalescence in a three-dimensional non-periodic void cluster

Experimental-Numerical Validation Framework for Micromechanical Simulations

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