The growth and coalescence of ellipsoidal voids in plane strain under combined shear and tension

Scheyvaerts, Florence; Onck, Patrick; Tekoğlu, Cihan; Pardoen, Thomas

doi:10.1016/j.jmps.2010.10.003

Cited by 126 publications

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“…This meant neglecting the effect of the global strain rate upon the rotation of the void, and represented an oversimplification which has been justifiably criticized and improved by Scheyvaerts et al [75].…”

Section: The Gld Model For Spheroidal Voidsmentioning

confidence: 99%

Ductile failure modeling

et al. 2016

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Section: The Gld Model For Spheroidal Voidsmentioning

confidence: 99%

Ductile failure modeling

et al. 2016

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“…The effect of the initial void shape and of void shape evolution has been studied by a number of authors (e.g. Gologanu et al, 1997;Pardoen et al, 2000;Danas et al, 2009a,b), including also effects of the initial void shape in shear fields (Scheyvaerts et al, 2006;2011). Under sufficiently low hydrostatic tension, such as in simple shear, the voids close up completely and form micro-cracks, as has been studied in a number of plane strain cell model analyses for a material containing a periodic array of circular cylindrical voids Tvergaard (2008Tvergaard ( , 2009Tvergaard ( , 2012 or spherical voids (Nielsen et al, 2012).…”

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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“…Important efforts have also been made to study ductile failure in conditions of low triaxiality via finite element micromechanical simulations of elementary porous cells subjected to loadings incorporating a shear component (Leblond and Mottet, 2008;Tvergaard, 2008Tvergaard, , 2009Barsoum and Faleskog, 2011;Scheyvaerts et al, 2011;Dahl et al, 2012;Tvergaard, 2012Tvergaard, , 2015a. Among these works, those of Tvergaard and coworkers (Tvergaard, 2008(Tvergaard, , 2009Dahl et al, 2012;Nielsen et al, 2012;Tvergaard, 2012Tvergaard, , 2015a appear especially significant insofar as they contained very detailed studies of the behavior of voids subjected to combined tensile and shear loadings, in conditions of possibly very low or even vanishing triaxiality, including the effect of very large deformations, possible autocontact between the voids' faces, initial void shape, etc.…”

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Application of a model of plastic porous materials including void shape effects to the prediction of ductile failure under shear-dominated loadings

Morin

Leblond

Tvergaard

2016

Journal of the Mechanics and Physics of Solids

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Document Version Peer reviewed version Link back to DTU Orbit Citation (APA):Morin, L., Leblond, J. B., & Tvergaard, V. (2016). Application of a model of plastic porous materials including void shape effects to the prediction of ductile failure under shear-dominated loadings. Journal of the Mechanics and Physics of Solids, 94, 148-166. DOI: 10.1016/j.jmps.2016 Application of a model of plastic porous materials including void shape effects to the prediction of ductile failure under shear-dominated loadings Leblond, 2012a,b, 2013;. In this extension the voids are no longer modelled as spherical but ellipsoidal with three different axes, and changes of the magnitude and orientation of these axes are accounted for. The aim of this paper is to show that the new model is able to predict softening due essentially to such changes, in the absence of significant void growth. This is done in two steps. First, a numerical implementation of the model is proposed and incorporated into the SYSTUS and ABAQUS finite element programmes (through some freely available UMAT (Leblond, 2015) in the second case). Second, the implementation in SYSTUS is used to simulate previous "numerical experiments" of Tvergaard and coworkers (Tvergaard, 2008(Tvergaard, , 2009Nielsen et al., 2012;Tvergaard, 2012Tvergaard, , 2015a involving the shear loading of elementary porous cells, where softening due to changes of the void shape and orientation was very apparent. It is found that with a simple, heuristic modelling of the phenomenon of mesoscopic strain localization, the model is indeed able to reproduce the results of these numerical experiments, in contrast to Gurson's model disregarding void shape effects.

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The growth and coalescence of ellipsoidal voids in plane strain under combined shear and tension

Cited by 126 publications

References 88 publications

Ductile failure modeling

Ductile failure modeling

Effect of void cluster on ductile failure evolution

Application of a model of plastic porous materials including void shape effects to the prediction of ductile failure under shear-dominated loadings

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