Effect of age hardening on the deformation behavior of an Mg–Y–Nd alloy: In-situ X-ray diffraction and crystal plasticity modeling

Lentz, Martin; Klaus, Manuela; Wagner, Michael; Fahrenson, Christoph; Beyerlein, Irene J.; Zecevic, Milovan; Reimers, W.; Knežević, Marko

doi:10.1016/j.msea.2015.01.069

Cited by 77 publications

(30 citation statements)

References 70 publications

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“…These are well established in literature with numerous applications in predicting monotonic deformations as standalone codes (Al-Harbi et al, 2010;Fast et al, 2008;Fromm et al, 2009;Kalidindi et al, 2009;Knezevic et al, 2009;Knezevic et al, 2014b;Knezevic and Kalidindi, 2007;Knezevic et al, 2008a;Knezevic and Landry, 2015;Knezevic and Savage, 2014 MANUSCRIPT 5 et al, 2010;Van Houtte, 1982;Van Houtte et al, 2002;Wu et al, 2007) or non-monotonic within finite elements (Barton et al, 2008;Beaudoin et al, 1993;Knezevic et al, 2014d;Knezevic et al, 2013c;Knezevic et al, 2013d;Knezevic et al, 2012b;Zecevic et al, 2015b, c).…”

Section: Figurementioning

confidence: 99%

A study of microstructure-driven strain localizations in two-phase polycrystalline HCP/BCC composites using a multi-scale model

Ardeljan

Knežević

Nizolek

et al. 2015

International Journal of Plasticity

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146

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Section: Figurementioning

confidence: 99%

A study of microstructure-driven strain localizations in two-phase polycrystalline HCP/BCC composites using a multi-scale model

Ardeljan

Knežević

Nizolek

et al. 2015

International Journal of Plasticity

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146

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“…Stored dislocation density can, however, serve to resist expansion of twin lamellae. More details of this dislocation density (DD) hardening model as it applies to α-U [13] as well as other metals, like FCC pure Cu [82], AA6022 [83], and Haynes 25 [84] or BCC Ta [85,86] and Nb [87] or HCP Zr [88][89][90], Be [10], and Mg [4], can be found in prior works. Below we provide an abbreviated review of this model.…”

Section: Model For α-Umentioning

confidence: 99%

“…The material in the region around the hole experiences very different deformation than in the plate away Contents lists available at ScienceDirect journal homepage: www.elsevier.com/locate/ijmecsci from the hole. At the same time, some metals and their alloys used in engineering applications such as magnesium [3][4][5], titanium [6,7], zirconium [8,9], beryllium [10,11], or uranium [12][13][14] considered here exhibit significant stress/strain anisotropy and tension-compression asymmetry related to microstructure. Therefore, coupling between the development of non-uniform deformation and the local deformation response of the material are needed for optimal designs of joints.…”

Section: Introductionmentioning

confidence: 99%

Anisotropic modeling of structural components using embedded crystal plasticity constructive laws within finite elements

Knežević

Crapps

Beyerlein

et al. 2016

International Journal of Mechanical Sciences

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a b s t r a c tPins are commonly used to join members of mechanical mechanisms. In order to maintain the integrity of the joint and prevent failure, there must be sufficient material of adequate strength around the pin hole to sustain the bearing and tear out loads from the pin connection. In this work, a multi-scale materials simulation model based on finite elements (FE) is developed for design and evaluation of materials for such applications. We specifically examine several constitutive models for simulating the elasto-plastic behavior of the plate material while maintaining computational efficiency. Here, models are developed for two plate materials: copper (Cu) and α-uranium (α-U), with vastly different plastic behaviors owing to their crystal structures and crystallographic textures. For Cu, digital image correlation (DIC) tests are carried out during loading of the plate/pin assembly to characterize the strain distributions in the critical hole/pin area. The corresponding FE simulations are carried out using a combination of constitutive laws involving a fine-scale polycrystal plasticity calculation, a J2 flow theory, or a combination of both. We show that the FE model using the fine-scale polycrystal plasticity constitutive law successfully captures the DIC strain fields in the hole region at different plate displacements. Surprisingly, use of the more computationally efficient J2 plasticity model also produces reasonable results in comparison with the measurements and the fine-scale constitutive law. An interesting finding is that combining fine-scale constitutive laws in the region surrounding the hole and continuum J2 theory elsewhere gives the worst agreement. It also precariously produces non-conservative estimates for the hole opening with applied displacement. These results on Cu helped subsequent simulations on α-U, where use of the fine-scale polycrystal simulation is fundamental considering the highly plastic anisotropic response of this complicated material. We demonstrate that in the α-U plates, the localized deformation in the hole region is highly dependent on the direction of displacement.

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“…It is assumed that all slip and twin systems within the same deformation mode share the same values for critical resolved shear stress (CRSS). This hardening law has been successfully used to model deformation of several metals within mean-field self-consistent codes, differing in crystal structure, such as Haynes 25 [47], AA6022 [48], Nb [49,50], Ta [51,52], Mg [53][54][55], Zr [46,56,57], Be [10,58], and U [4,59,60]. Here, we integrate the same hardening law for U in CPFE and enable the existing CPFE to model the orthorhombic structure.…”

Section: Hardening Laws For Slip and Twinningmentioning

confidence: 99%

Explicit incorporation of deformation twins into crystal plasticity finite element models

Ardeljan

McCabe

Beyerlein

et al. 2015

Computer Methods in Applied Mechanics and Engineering

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140

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Highlights• Morphology and crystallography of deformation twinning are implemented in crystal plasticity finite element models.• Intrinsic twinning transformation shear strain is enforced to correspond to the plastic strain accommodated by the twin lamella.• Heterogeneities in spatial mechanical fields are correlated with microstructural changes during twin formation and thickening.• Multiple thin twin lamellae are predicted to be more favorable than a single thick twin lamella in uranium. AbstractDeformation twinning is a subgrain mechanism that strongly influences the mechanical response and microstructural evolution of metals especially those with low symmetry crystal structure. In this work, we present an approach to modeling the morphological and crystallographic reorientation associated with the formation and thickening of a twin lamella within a crystal plasticity finite element (CPFE) framework. The CPFE model is modified for the first time to include the shear transformation strain associated with deformation twinning. Using this model, we study the stress-strain fields and relative activities of the active deformation modes before and after the formation of a twin and during thickening within the twin, and in the parent grain close to the twin and away from the twin boundaries. These calculations are carried out in cast uranium (U), which has an orthorhombic crystal structure and twins predominantly on the {130} <310> systems under ambient conditions. The results show that the resolved shear stresses on a given twin system on the twin-parent grain interface and in the parent are highly inhomogeneous. We use the calculated mechanical fields to determine whether the twin evolution occurs via thickening of the existing twin lamella or formation of a second twin lamella. The analysis suggests that the driving force for thickening the existing twin lamella is low and that formation of multiple twin lamellae is energetically more favorable. The overall modeling framework and insight into why twins in U tend to be thin are described and discussed in this paper.

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Effect of age hardening on the deformation behavior of an Mg–Y–Nd alloy: In-situ X-ray diffraction and crystal plasticity modeling

Cited by 77 publications

References 70 publications

A study of microstructure-driven strain localizations in two-phase polycrystalline HCP/BCC composites using a multi-scale model

A study of microstructure-driven strain localizations in two-phase polycrystalline HCP/BCC composites using a multi-scale model

Anisotropic modeling of structural components using embedded crystal plasticity constructive laws within finite elements

Explicit incorporation of deformation twins into crystal plasticity finite element models

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