Macroscopic yield criteria for plastic anisotropic materials containing spheroidal voids

Monchiet, Vincent; Cazacu, Oana; Charkaluk, Éric; Kondo, Djimédo

doi:10.1016/j.ijplas.2007.08.008

Cited by 210 publications

(142 citation statements)

References 41 publications

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“…Similar extensions of the GLD model for spheroidal voids in von Mises matrices to Hill matrices were proposed by Monchiet et al [46,47] [20,20,22] basically "isotropic" velocity fields.…”

Section: Models For Spheroidal Voidsmentioning

confidence: 54%

Ductile failure modeling

et al. 2016

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“…Similar extensions of the GLD model for spheroidal voids in von Mises matrices to Hill matrices were proposed by Monchiet et al [46,47] [20,20,22] basically "isotropic" velocity fields.…”

Section: Models For Spheroidal Voidsmentioning

confidence: 54%

Ductile failure modeling

et al. 2016

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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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“…The first theory is based on a micromechanical analysis of void growth, which describes the ductile damage mechanisms in porous materials. It was initiated by Gurson [17], modified by Tvergaard and Needleman [18], and subsequently improved by a number of contributors (see, e.g., [19][20][21][22]). The second theory, known as continuum damage mechanics (see, e.g., [23,24]), is based on the introduction of a damage variable, which represents the surface density of defects, and can be modeled as isotropic scalar variable (see, e.g., [23,25]), or tensor variable for anisotropic damage (see, e.g., [26][27][28]).…”

Section: Introductionmentioning

confidence: 99%

Numerical Predictions of the Occurrence of Necking in Deep Drawing Processes

Chalal

Abed‐Meraim

2017

Metals

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Abstract:In this work, three numerical necking criteria based on finite element (FE) simulations are proposed for the prediction of forming limit diagrams (FLDs) for sheet metals. An elastic-plastic constitutive model coupled with the Lemaitre continuum damage theory has been implemented into the ABAQUS/Explicit software to simulate simple sheet stretching tests as well as Erichsen deep drawing tests with various sheet specimen geometries. Three numerical criteria have been investigated in order to establish an appropriate necking criterion for the prediction of formability limits. The first numerical criterion is based on the analysis of the thickness strain evolution in the central part of the specimens. The second numerical criterion is based on the analysis of the second time derivative of the thickness strain. As to the third numerical criterion, it relies on a damage threshold associated with the occurrence of necking. The FLDs thus predicted by numerical simulation of simple sheet stretching with various specimen geometries and Erichsen deep drawing tests are compared with the experimental results.

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Macroscopic yield criteria for plastic anisotropic materials containing spheroidal voids

Abstract: 2016-12-24T18:05:51

Cited by 210 publications

References 41 publications

Ductile failure modeling

Ductile failure modeling

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

Numerical Predictions of the Occurrence of Necking in Deep Drawing Processes

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