Orientation distribution analysis in deformed grains

Glez, Jean Christophe; Driver, J.H.

doi:10.1107/s0021889801003077

Cited by 60 publications

(59 citation statements)

References 13 publications

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“…The method for calculating the mean orientation from within a cluster of orientations is described in detail elsewhere. [13] From this mean orientation, the angle of misorientation between the mean ellipsoid axes and the axes of the starting ellipsoids (all the same prior to deformation) is also calculated.…”

Section: Definition Of the Modelmentioning

confidence: 99%

Embedded Grain Rotation and Roping of Stainless Steel

Sinclair

2007

Metall Mater Trans A

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The recent application of crystal plasticity calculations to electron backscatter diffraction (EBSD) data from ferritic stainless steel sheet has confirmed the presence of grain clusters parallel to the rolling direction (RD) with similar deformation tendencies. The results of these simulations provide strong support for the Takechi model of roping. The remaining question that has not yet been adequately addressed is how the deformation tendencies of grains/grain clusters are affected by being embedded within a three-dimensional medium. In this article, the behavior of individual grain orientations when embedded within media of differing crystallographic orientations is explored within the framework of a viscoplastic self-consistent (VPSC) model. It is shown that the tendency for out-of-plane shear exhibited by some grain orientations persists, even when the grains are embedded within a matrix that has very different deformation tendencies. This is further extended to examine the influence of the orientation of grain clusters in relation to the roping phenomenon.

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Section: Definition Of the Modelmentioning

confidence: 99%

Embedded Grain Rotation and Roping of Stainless Steel

Sinclair

2007

Metall Mater Trans A

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“…However, whilst the Euler angles do uniquely describe the orientation of the crystal and are straightforward to comprehend, they are less useful for detailed calculations owing to their interdependency, and so a novel approach was designed in order to map the angles of bending and torsion away from the average orientation. The rotations described by the Euler angles were converted to quaternions, reduced to the fundamental zone by the methods of Sutton & Balluffi [39] and the average orientation calculated by the methods of Glez & Driver [40]. Denoting a right-handed Cartesian set describing the average orientation asē such thatē 3 is the growth direction of the seed, and the superscript i represents the i th measurement, the bending angle is:…”

Section: Ebsd Data Analysis Routinementioning

confidence: 99%

Dendrite Bending during Directional Solidification

Aveson¹,

Reinhart²,

Nguyen-Thi³

et al. 2012

Superalloys 2012 (Twelfth International Symposium)

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In order to ascertain the origin of deformation and sub-grains in single crystal castings, an in situ, time-resolved X-ray radiographic imaging experiment was performed at the BM05 beam line of the European Synchrotron Radiation Facility (ESRF). This provided direct experimental evidence of the origin of crystallographic misorientation during the directional solidification of the nickel-based superalloy CMSX4. Solidification monitoring revealed that dendrites deform by bending and possibly torsion, and with deformation occurring early during dendrite growth, influencing the establishment of the dendritic array. These observations were related with electron backscattered diffraction data from ex situ samples. The bending and torsion contributions to deformation were extracted from the electron backscattered diffraction data using a data analysis scheme capable of isolating the deformation modes. In the component tested, bending was identified as the predominant deformation mode in sub-grain formation, but torsion effects were also seen to be significant.

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“…The reader is referred elsewhere [10] for an extensive report on this study, whereas an interesting alternative technique for characterization is also available. [11] The metal used for the present EBSD investigation is aluminum having commercial purity (AA1050), cold-rolled to 40 % thickness reduction. Before rolling, the plate was recrystallized with an average grain size of 100 lm.…”

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confidence: 99%

Measurement of In‐Grain Orientation Gradients by EBSD and Comparison with Finite Element Results

Delannay¹,

Logé²,

Chastel³

et al. 2003

Adv Eng Mater

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The electron backscatter diffraction (EBSD) technique allows rapid orientation mapping over large sample areas. This enables the analysis of tendencies that can only be derived from the averaged behavior of many grains. In this communication, we present a recent study based on this feature, in order to gather statistically relevant information about the orientation gradients that developed within grains of a coldrolled aluminum plate. We also check whether the orientation gradients observed can be attributed to the interaction of adjacent grains. We rely on the finite element (FE) technique to simulate plane strain compression of an aggregate of 1200 grains. Twelve of these grains have an identical initial orientation that has been selected, either close to {001}<100>, or along the b-fiber (i.e., {110}<112>, {123}<634>, and {112}<111>). Every one of the 12 grains has a distinct neighborhood and follows thereby a different deformation path. In concordance with experimental measurements, the FE simulations lead to a larger average orientation spread within grains oriented near {001}<100>. However, the amplitude of the orientation spread is underestimated, whatever the initial orientation of grains.Owing to its influence on the mechanical anisotropy of metal sheets, the crystallographic texture developed in rolling operations has been the object of considerable interest in the past few decades. In cubic metals, most of the stable texture components can be identified by relying on the Taylor± Bishop±Hill (TBH) plasticity theory, which presupposes a uniform deformation field over the polycrystalline aggregate. [1,2] However, this unsophisticated theory does not provide a quantitative prediction of texture development. A comparison of the modeling results with diffraction measurements shows that the TBH theory predicts too rapid a rotation for too many grains towards some of the stable texture components. [2,3] It has been known for a long time that only a heterogeneous strain field can fulfill the stress balance condition across grain boundaries. [1,2] It has also been shown that strain heterogeneity retards the development of texture, leading to a closer match between prediction and experiment. [4±9] However, much uncertainty persists about the origin, the type, and the amplitude of local strain heterogeneities. The purpose of the EBSD study and the FE is to address the following questions.l To what extent is the direct neighborhood of a grain influential? If two grains have an identical initial orientation but a different surrounding, will they take different deformation paths, leading to distinct texture components?

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Orientation distribution analysis in deformed grains

Cited by 60 publications

References 13 publications

Embedded Grain Rotation and Roping of Stainless Steel

Embedded Grain Rotation and Roping of Stainless Steel

Dendrite Bending during Directional Solidification

Measurement of In‐Grain Orientation Gradients by EBSD and Comparison with Finite Element Results

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