Procedures for reducing large datasets of crystal orientations using generalized spherical harmonics

Knežević, Marko; Landry, Nicholas W.

doi:10.1016/j.mechmat.2015.04.014

Cited by 70 publications

(13 citation statements)

References 77 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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147

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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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147

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“…Hardening of slip systems is based on the rate of dislocation storage, which is a thermally activated mechanism and, hence, it is dependent on temperature and also on strain rate. In several prior studies, a similar hardening model has been successfully applied to a range of metals involving different crystal structure: hexagonal close packed (HCP) Zr (Beyerlein and Tomé, 2008;Knezevic et al, 2013b;Knezevic and Landry, 2015;Knezevic et al, 2014e;, Be (Brown et al, 2012;Knezevic et al, 2013a;Zecevic et al, 2015a), Mg (Beyerlein et al, 2011;Lentz et al, 2015a;Lentz et al, 2015b), body centered cubic (BCC) Ta (Ardeljan et al, 2014a;Ardeljan et al, 2015a;Ardeljan et al, 2014b;Bhattacharyya et al, 2015;Knezevic et al, 2014e), face centered cubic (FCC) alloys (Knezevic et al, 2014b;Zecevic and Knezevic, 2015), and orthorhombic uranium (Ardeljan et al, 2015b;Knezevic et al, 2012;Knezevic et al, 2013d;Knezevic et al, 2013e). In this model, the slip resistance is defined as:…”

Section: Hardening Lawmentioning

confidence: 99%

Dual-phase steel sheets under cyclic tension–compression to large strains: Experiments and crystal plasticity modeling

Zecevic

Korkolis

Kuwabara

et al. 2016

Journal of the Mechanics and Physics of Solids

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123

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In this work, we develop a physically-based crystal plasticity model for the prediction of cyclic tension-compression deformation of multi-phase materials, specifically dual-phase (DP) steels. The model is elasto-plastic in nature and integrates a hardening law based on statistically stored dislocation density, localized hardening due to geometrically necessary dislocations (GNDs), slip-system-level kinematic backstresses, and annihilation of dislocations. The model further features a two level homogenization scheme where the first level is the overall response of a two-phase polycrystalline aggregate and the second level is the homogenized response of the martensite polycrystalline regions. The model is applied to simulate a cyclic tensioncompression-tension deformation behavior of DP 590 steel sheets. From experiments, we observe that the material exhibits a typical decreasing hardening rate during forward loading, followed by a linear and then a non-linear unloading upon the load reversal, the Bauschinger effect, and changes in hardening rate during strain reversals. To predict these effects, we identify the model parameters using a portion of the measured data and validate and verify them using the remaining data. The developed model is capable of predicting all the particular features of the cyclic deformation of DP 590 steel, with great accuracy. From the predictions, we infer and discuss the effects of GNDs, the backstresses, dislocation annihilation, and the two-level homogenization scheme on capturing the cyclic deformation behavior of the material.

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“…The developed procedure is fully automated; however, to facilitate calculations involving thousands of grains, significant increases in computation speed are necessary. To this end, we plan to explore the use of non-iterative numerical methods that are based on fast Fourier transforms [20,33,[72][73][74][75][76][77] and utilization of specialized computer hardware [18,78] that involves graphic hardware.…”

Section: Application: a Case Study Of Twinning In Uraniummentioning

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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141

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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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Procedures for reducing large datasets of crystal orientations using generalized spherical harmonics

Cited by 70 publications

References 77 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

Dual-phase steel sheets under cyclic tension–compression to large strains: Experiments and crystal plasticity modeling

Explicit incorporation of deformation twins into crystal plasticity finite element models

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