Assessing the precision of strain measurements using electron backscatter diffraction – Part 2: Experimental demonstration

Britton, T. Ben; Jiang, Jun; Clough, R.; Tarleton, Edmund; Kirkland, Angus I.; Wilkinson, Angus J.

doi:10.1016/j.ultramic.2013.08.006

Cited by 32 publications

(18 citation statements)

References 12 publications

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“…The elastic strain contribution to the GND density is often not addressed experimentally, especially in the absence of a quantitative assessment of the significance of the elastic strain contribution to the dislocation density tensor. However, it is significant that in addition to lattice rotation field measurements, advances in the EBSD technique (Wilkinson et al, 2006;Villert et al, 2009;Kacher et al, 2009) have enabled the detection of surface elastic strain fields and the determination of the Kröner dislocation density tensor at surfaces (Wilkinson and Randman, 2010;Britton et al, 2013;Wilkinson et al 2014). …”

Section: Introductionmentioning

confidence: 99%

A statistical analysis of the elastic distortion and dislocation density fields in deformed crystals

Mohamed¹,

Larson²,

Tischler³

et al. 2015

Journal of the Mechanics and Physics of Solids

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CitationA statistical analysis of the elastic distortion and dislocation density fields in deformed crystals This is a PDF file of an unedited manuscript that has been accepted for publication. As a service to our customers we are providing this early version of the manuscript. The manuscript will undergo copyediting, typesetting, and review of the resulting galley proof before it is published in its final citable form. Please note that during the production process errors may be discovered which could affect the content, and all legal disclaimers that apply to the journal pertain. Abstract.The statistical properties of the elastic distortion fields of dislocations in deforming crystals are investigated using the method of discrete dislocation dynamics to simulate dislocation structures and dislocation density evolution under tensile loading. Probability distribution functions (PDF) and pair correlation functions (PCF) of the simulated internal elastic strains and lattice rotations are generated for tensile strain levels up to 0.85%. The PDFs of simulated lattice rotation are compared with sub-micrometer resolution three-dimensional X-ray microscopy measurements of rotation magnitudes and deformation length scales in 1.0% and 2.3% compression strained Cu single crystals to explore the linkage between experiment and the theoretical analysis. The statistical properties of the deformation simulations are analyzed through determinations of the Nye and Kröner dislocation density tensors. The significance of the magnitudes and the length scales of the elastic strain and the rotation parts of dislocation density tensors are demonstrated, and their relevance to understanding the fundamental aspects of deformation is discussed.

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Section: Introductionmentioning

confidence: 99%

A statistical analysis of the elastic distortion and dislocation density fields in deformed crystals

Mohamed¹,

Larson²,

Tischler³

et al. 2015

Journal of the Mechanics and Physics of Solids

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“…5 1 000 k 720 k 0. 2 15 625 k 5 250 k 0.1 125 000 k 24 000 k orientation of the 234 grains present in the mapping based on the center of mass of the grains.…”

Section: A [Mm]mentioning

confidence: 99%

“…[1] Large scale simulations on polycrystalline volume elements can now be performed with sufficient local discretization to predict the transgranular plastic strain fields. They are necessary for comparison with results of sophisticated 2D and 3D full field measurements providing strain fields based on grid methods and/or image correlation techniques, [2] lattice rotation fields by means of Electron Back Scattered Diffraction (EBSD), [3,4,5] elastic strain fields using for instance micro-diffraction techniques. [6] Even though continuum crystal plasticity constitutive equations do not account for the intricate dislocation mechanisms at work during plastic deformation, the continuum mechanical model gives relevant information about the strain heterogeneities induced in a polycrystal by the strong incompatibilities that develop at grain boundaries.…”

Section: Introductionmentioning

confidence: 99%

Coupling Diffraction Contrast Tomography with the Finite Element Method

Proudhon

Reischig

et al. 2015

Adv Eng Mater

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This paper explains how to turn full three dimensional (3D) experimental grain maps into a finite elements (FE) mesh suitable for mechanical analysis. Two examples from diffraction contrast tomography characterizations are presented. Deformation of a pure titanium sample with 1400 grains is computed using elastic anisotropy and accurate boundary conditions allows to correctly capture the grain to grain elastic strain variations. In the second example a significantly large zone of a polycrystalline Al-Li sample is meshed and computed using elastoplastic finite strain calculation. Mean lattice reorientations and intra-grain lattice orientation spread are obtained as a function of deformation.

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“…It has been reported that the precision of elastic strain measurement is affected by factors related to EBSD measurement, including the exposure time, detector geometry, pattern binning, and projection parameters during beam scan [27][28][29]. In addition, an investigation into the correlation method has been conducted to improve its precision [30].…”

Section: Introductionmentioning

confidence: 99%

Effect of reference point selection on microscopic stress measurement using EBSD

Mikami

Oda

Kamaya³

et al. 2015

Materials Science and Engineering: A

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Assessing the precision of strain measurements using electron backscatter diffraction – Part 2: Experimental demonstration

Cited by 32 publications

References 12 publications

A statistical analysis of the elastic distortion and dislocation density fields in deformed crystals

A statistical analysis of the elastic distortion and dislocation density fields in deformed crystals

Coupling Diffraction Contrast Tomography with the Finite Element Method

Effect of reference point selection on microscopic stress measurement using EBSD

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