Ductile Fracture by Void Growth to Coalescence

Benzerga, A. Amine; Leblond, Jean-Baptiste

doi:10.1016/s0065-2156(10)44003-x

Cited by 540 publications

(361 citation statements)

References 159 publications

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“…Early models for void growth in such situations were developed by McClintock (1968) and Rice and Tracey (1969), and subsequently a large amount of research has focussed on this area (see reviews by Garrison and Moody, 1987;Tvergaard, 1990;Benzerga and Leblond, 2010;Benzerga et al, 2016). The most widely known porous ductile material model is that developed by Gurson (1977) and subsequently extended (Tvergaard, 1981;Tvergaard and Needleman, 1984).…”

Section: Introductionmentioning

confidence: 99%

Effect of void cluster on ductile failure evolution

Tvergaard

2016

Meccanica

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Document VersionABSTRACT -The behavior of a non-uniform void distribution in a ductile material is investigated by using a cell model analysis to study a material with a periodic pattern of void clusters. The special clusters considered consist of a number of uniformly spaced voids located along a plane perpendicular to the maximum principal tensile stress. A plane strain approximation is used, where the voids are parallel cylindrical holes. Clusters with different numbers of voids are compared with the growth of a single void, such that the total initial volume of the voids, and thus also the void volume fractions, are the same for the clusters and the single void. In the comparison it is essential that local void coalescence inside the clusters is accounted for, since this allows for considering the rate of growth of the single larger void that results from coalescence in the cluster. To obtain a parametric understanding, different transverse stresses on the unit cell are considered to see the influence of different levels of stress triaxiality. Also considered are different initial ratios of the void spacing to the void radius inside the clusters. And results are shown for different levels of strain hardening in the material.

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Section: Introductionmentioning

confidence: 99%

Effect of void cluster on ductile failure evolution

Tvergaard

2016

Meccanica

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“…The most popular model describing constitutive elastic plastic equations that account for the effect of ductile damage development is that suggested by Gurson and phenomenologically improved by Tvergaard [1][2][3][4], which makes use of an approximate yield condition 2 2 2 2 1 1…”

Section: Constitutive Model Descriptionmentioning

confidence: 99%

“…The Gurson-Tvergaad-Needleman (GTN) model [1][2][3][4], the first micromechanical model for ductile fracture which introduces a strong coupling between deformation and damage, the material at hand is assumed to be composed of a dense matrix and spherical voids. Its yield function is affected by the presence of voids in the sense that when the void volume fraction (vvf) accumulates, the material softens and loses its capability to carry loads.…”

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confidence: 99%

Ductile Shear Damage Model for Porous Materials

Siad¹,

Gangloff²,

Bohr³

2014

JMSE-B

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Based on a pre-existing yield function, an extended version of the well-known Gurson-Tvergaad-Needleman (GTN)isotropic hardening model is presented in this investigation. The yield function of the proposed constitutive model possesses the distinctiveness to be more accurate for arbitrary void volume fraction and especially to explicitly depend upon the third stress invariant. As a numerical example, the presented constitutive model and, for the purpose of comparison, the GTN model, are used to analyse the necking of a round tensile bar and the two-dimensional simple dynamic shearing problem. The numerical results highlight similarities, good agreement as long as softening initiation of specimen is not reached, and discrepancy as soon as failure of specimen starts, between the proposed model and the GTN model.

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“…The general idea is to introduce plastic strains and suitable evolution laws, for coupling damage to plasticity, revisiting in a variational phase-field framework the classical approaches to ductile failure [17,18,41,63,61]. A phase-field (damage) fracture model coupled with plasticity has been proposed by [9], with a phenomenological approach, and by [50] in a variational setting.…”

Section: Introductionmentioning

confidence: 99%

Coupling damage and plasticity for a phase-field regularisation of brittle, cohesive and ductile fracture: One-dimensional examples

Alessi

Marigo

Maurini

et al. 2018

International Journal of Mechanical Sciences

113

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Plasticity and damage are two fundamental phenomena in nonlinear solid mechanics associated to the development of inelastic deformations and the reduction of the material stiffness. Alessi et al. [4] have recently shown, through a variational framework, that coupling a gradient-damage model with plasticity can lead to macroscopic behaviours assimilable to ductile and cohesive fracture. Here, we further expand this approach considering specific constitutive functions frequently used in phase-field models of brittle fracture. A numerical solution technique of the coupled elastodamage-plasticity problem, based on an alternate minimisation algorithm, is proposed and tested against semi-analytical results. Considering a one-dimensional traction test, we illustrate the properties of four different regimes obtained by a suitable tuning of few key constitutive parameters. Namely, depending on the relative yield stresses and softening behaviours of the plasticity and the damage criteria, we obtain macroscopic responses assimilable to (i) brittle fracturè a la Griffith, (ii) cohesive fractures of the Barenblatt or Dugdale type, and (iii) a sort of cohesive fracture including a depinning energy contribution. The comparisons between numerical and analytical results prove the accuracy of the proposed numerical approaches in the considered quasi-static time-discrete setting, but they also emphasise some subtle issues occurring during time-discontinuous evolutions.

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Ductile Fracture by Void Growth to Coalescence

Cited by 540 publications

References 159 publications

Effect of void cluster on ductile failure evolution

Effect of void cluster on ductile failure evolution

Ductile Shear Damage Model for Porous Materials

Coupling damage and plasticity for a phase-field regularisation of brittle, cohesive and ductile fracture: One-dimensional examples

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