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Tangential continuity of the curvature tensor at grain boundaries underpins disclination density determination from spatially mapped orientation data

Abstract : Tangential continuity at grain boundaries confers to the curvature tensor smoothness properties needed for the determination of the components of the disclination density tensor available from the orientation maps provided by electron backscat-tered diffraction measurements. The smoothness implied by attributing a gradient status to the curvature tensor is overachieving and leads to uniformly vanishing disclination density fields. We detail the appropriate field representations for the rotation and curvatures built from the discrete orientation data sets, as well as the relevant numerical differentiation procedures. Illustrations are provided by using both simple constructed data sets and actual measurements.
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https://hal.univ-lorraine.fr/hal-02907623
Contributor : Claude Fressengeas <>
Submitted on : Monday, July 27, 2020 - 7:04:49 PM
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Claude Fressengeas, B. Beausir. Tangential continuity of the curvature tensor at grain boundaries underpins disclination density determination from spatially mapped orientation data. International Journal of Solids and Structures, Elsevier, 2019, 156-157, pp.210-215. ⟨10.1016/j.ijsolstr.2018.08.015⟩. ⟨hal-02907623⟩

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