A micromechanical approach of damage in viscoplastic materials by evolution in size, shape and distribution of voids

Garajeu, Mihail; Michel, Jean‐Claude; Suquet, Pierre

doi:10.1016/s0045-7825(99)00220-0

Cited by 99 publications

(54 citation statements)

References 18 publications

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“…The FE unit cell results used here as reference are those reported by Garajeu et al [18] for isotropic viscoplastic matrices, and two different initial geometries: (a) a cylindrical cell, and (b) a spherical cell, containing a spherical void in the center. In both cases, the matrix behavior is given by Eq.…”

Section: Comparison With Fe Unit Cell Resultsmentioning

confidence: 99%

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Modeling void growth in polycrystalline materials

et al. 2013

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Section: Comparison With Fe Unit Cell Resultsmentioning

confidence: 99%

“…[15][16][17][18][19][20][21][22]) are successful in describing void growth in a homogeneous matrix. Corresponding FE cell calculations have been customarily used for validation and calibration of these Gurson-type models.…”

Section: Introductionmentioning

confidence: 99%

Modeling void growth in polycrystalline materials

et al. 2013

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“…This model has been extended in various directions to account for phenomena not included in its original version, notably void shape effects (Gologanu et al, 1993(Gologanu et al, , 1994Garajeu et al, 2000;Leblond, 2012a,b, 2013;, plastic anisotropy (Benzerga and Besson, 2001;Monchiet et al, 2008;Keralavarma and Benzerga, 2010;Morin et al, 2015c) and void coalescence (Thomason, 1985;Tekoglu et al, 2012;Benzerga and Leblond, 2014;Morin et al, 2015b). It has met, in both its original and improved forms, considerable success in the reproduction of experimental tests of failure of ductile materials under monotonic loading conditions.…”

Section: Accepted Manuscriptmentioning

confidence: 99%

A Gurson-type layer model for ductile porous solids with isotropic and kinematic hardening

Morin

Michel

Leblond

2017

International Journal of Solids and Structures

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The aim of this work is to propose a Gurson-type model for ductile porous solids exhibiting isotropic and kinematic hardening. The derivation is based on a "sequential limit-analysis" of a hollow sphere made of a rigid-hardenable material. The heterogeneity of hardening is accounted for by discretizing the cell into a finite number of spherical layers in each of which the quantities characterizing hardening are considered as homogeneous. A simplified version of the model is also proposed, which permits to extend the previous works of Leblond et al. (1995) andLacroix et al. (2016) for isotropic hardening to mixed isotropic/kinematic hardening. The model is finally assessed through comparison of its predictions with the results of some micromechanical finite element simulations of the same cell. First, the numerical and theoretical overall yield loci are compared for given distributions of isotropic and kinematic pre-hardening. Then the predictions of the model are investigated in evolution problems in which both isotropic and kinematic hardening parameters vary in time. A very good agreement between model predictions and numerical results is found in both cases.

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“…Other extensions accounting for void shape effects were further developed for spheroidal voids (e.g. prolate and oblate ellipsoidal cavities) by [29] and [30], [17], [16] and then [33]. Pardoen and Hutchinson [36] integrated the extended model of Gologanu-Leblond-Devaux [17] into a heuristically enhanced void growth and coalescence model incorporating the effect of strain hardening.…”

Section: Introductionmentioning

confidence: 99%

Static limit analysis and strength of porous solids with hill orthotropic matrix

Ghezal

Doghri

Kondo

2017

International Journal of Solids and Structures

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To cite this version:I. El Ghezal, I. Doghri, D. Kondo. Static limit analysis and strength of porous solids with hill orthotropic matrix. International Journal of Solids and Structures, Elsevier, 2017, 109, pp.63 -71. 10 AbstractThe present study deals with a strength criterion for ductile porous materials consisting in a Hill type orthotropic matrix containing spherical voids. The originality of the study lies into an attempt to develop an approximate static LimitAnalysis for this class of materials, based on the recent work of Cheng et al. (2014) initially proposed for isotropic von Mises matrix. To this end, we considered, in the framework of a statical limit analysis framework, a trial stress field complying with the boundary conditions of the homogenization problem. Interestingly, the proposed procedure delivers an anisotropic macroscopic criterion which is not only pressure dependent, but exhibits an original sensitivity to the sign of the third invariant of the stress deviator. The obtained results are discussed and compared to existing theoretical models, to numerical bounds and to recently available Finite Element results. Finally, we provide the plastic strain rate equations and the void evolution law which are crucial for formulating the failure of anisotropic ductile metals. The influence of the plastic anisotropy on these constitutive equations is illustrated.

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A micromechanical approach of damage in viscoplastic materials by evolution in size, shape and distribution of voids

Cited by 99 publications

References 18 publications

Modeling void growth in polycrystalline materials

Modeling void growth in polycrystalline materials

A Gurson-type layer model for ductile porous solids with isotropic and kinematic hardening

Static limit analysis and strength of porous solids with hill orthotropic matrix

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