Void growth and coalescence in ductile solids with stage III and stage IV strain hardening

Lecarme, Liza; Tekoğlu, Cihan; Pardoen, Thomas

doi:10.1016/j.ijplas.2011.01.004

Cited by 110 publications

(43 citation statements)

References 68 publications

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“…The number of the activated slip systems increases as the stress triaxiality increases. For example, additional six slip systems (2,3,8,9,13,19 slip systems in Table 1) are activated when the stress triaxiality is increased to 1. The activation of the slip system is further complicated when the void is embedded in the single crystal or at the boundary of bi-crystal.…”

Section: Slip System Activity (Resolved Sheaer Strain On the Slip Sysmentioning

confidence: 99%

“…Lebensohn et al proposed a new modeling approach with FFT (Fast Fourier Transformation)-based crystal plasticity to investigate the growth of multiple voids in the face centered cubic (fcc) polycrystals [18]. The hardening model used for crystal plasticity was usually a power-law type, but detailed study on the effect of stage III and IV strain hardening on the void growth and coalescence was provided by Lecarme et al, where they found that the stage IV hardening had significant influence in delaying fracture [19].…”

Section: Introductionmentioning

confidence: 99%

“…However, even with this limitation, the current work is still meaningful considering recent advances in the computational approach based on crystal plasticity, which accurately predicts the anisotropic deformation response of cubic crystals under complex loading conditions [7,[13][14][15][16][17][18][19].…”

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confidence: 99%

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Grain Scale Representative Volume Element Simulation to Investigate the Effect of Crystal Orientation on Void Growth in Single and Multi-Crystals

Jeong¹,

Lee

Moon

et al. 2018

Metals

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Abstract:Crystal plasticity finite element (CPFE) simulations were performed on the representative volume elements (RVE) modeling body centered cubic (bcc) single, bi-and tri-crystals. The RVE model was designed to include a void inside a grain, at a grain boundary and at a triple junction. The effect of single crystal orientation on the flow strength and growth rate of the void was discussed under prescribed boundary conditions for constant stress triaxialities. CPFE analyses could explain the effect of inter-grain orientations on the anisotropic growth of the void located at the grain boundaries. The results showed that the rate of void growth had preferred orientation in a single crystal, but the rate could be significantly different when other orientations of neighboring crystals were considered.

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Section: Slip System Activity (Resolved Sheaer Strain On the Slip Sysmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Grain Scale Representative Volume Element Simulation to Investigate the Effect of Crystal Orientation on Void Growth in Single and Multi-Crystals

Jeong¹,

Lee

Moon

et al. 2018

Metals

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“…While damage evolution laws were proposed in the original works deriving the GTN or CDM approaches, several other damage rate expressions can be found in the literature describing different damage mechanisms (Duddu and Waisman, 2013;Souza and Allen, 2012;Tekoglu and Pardoen, 2010;Hammi and Horstemeyer, 2007;Qi and Bertram, 1999;Kitzig and Häußler-Combe, 2011;Lecarme et al, 2011;Khan and Liu, 2012;Lai et al, 2009;Zaïri et al, 2011) and coupling with time-, rate-, and temperature-dependent materials (Abu Al Rub and Darabi, 2012;Besson, 2009;Stewart et al, 2011;Horstemeyer et al, 2000;Guo et al, 2013), to cite only a few.…”

Section: Introductionmentioning

confidence: 99%

A generic anisotropic continuum damage model integration scheme adaptable to both ductile damage and biological damage-like situations

Mengoni¹,

Ponthot²

2015

International Journal of Plasticity

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This paper aims at presenting a general versatile time integration scheme applicable to anisotropic damage coupled to elastoplasticity, considering any damage rate and isotropic hardening formulations. For this purpose a staggered time integration scheme in a finite strain framework is presented, together with an analytical consistent tangent operator. The only restrictive hypothesis is to work with an undamaged isotropic material, assumed here to follow a J 2 plasticity model. The only anisotropy considered is thus a damage-induced anisotropy.The possibility to couple any damage rate law with the present algorithm is illustrated with a classical ductile damage model for aluminium, and a biological damage-like application. The later proposes an original bone remodelling law coupled to trabecular bone plasticity for the simulation of orthodontic tooth movements. All the developments have been considered in the framework of the implicit non-linear finite element code Metafor (developed at the LTAS/MN 2 L, University of Liège, Belgium -www.metafor.ltas.ulg.ac.be).

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“…Later, Gurson (1977) derived an expression for the yield locus of an isotropic medium containing a spherical void. Since these pioneering works, the description of the void growth mechanism has been enriched in many different ways, as outlined in a recent review by Lecarme et al (2011). Criteria describing nucleation and coalescence of voids were included in the Gurson model by Chu and Needleman (1980) and Tvergaard and Needleman (1984), leading to the well-known GTN model.…”

Section: Introductionmentioning

confidence: 99%

Anisotropic failure modes of high-strength aluminium alloy under various stress states

Fourmeau

Børvik

Benallal

et al. 2013

International Journal of Plasticity

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The influence of stress state and plastic anisotropy on the fracture behaviour of a rolled AA7075-T651 aluminium plate under quasi-static loading conditions is studied both experimentally and numerically. Material tests in different directions of the plate were carried out using specimens with various shapes to provide a wide range of stress states. The strain to failure and the failure modes were found to vary strongly with the stress state, but also with the loading direction due to the complex microstructure of the alloy. Finite element simulations adopting an anisotropic plasticity model were used to obtain local values of stresses and strains and to define the strains at fracture for the various stress states. The numerical simulations show that due to the heterogeneous stress and strain fields in the specimens, it is very difficult to accurately locate the point where fracture initiates and thus to determine the local fracture strain as a function of stress state and loading direction.

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Void growth and coalescence in ductile solids with stage III and stage IV strain hardening

Cited by 110 publications

References 68 publications

Grain Scale Representative Volume Element Simulation to Investigate the Effect of Crystal Orientation on Void Growth in Single and Multi-Crystals

Grain Scale Representative Volume Element Simulation to Investigate the Effect of Crystal Orientation on Void Growth in Single and Multi-Crystals

A generic anisotropic continuum damage model integration scheme adaptable to both ductile damage and biological damage-like situations

Anisotropic failure modes of high-strength aluminium alloy under various stress states

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