Tangential continuity of the curvature tensor at grain boundaries underpins disclination density determination from spatially mapped orientation data - Université de Lorraine Access content directly
Journal Articles International Journal of Solids and Structures Year : 2019

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.
Fichier principal
Vignette du fichier
EBSD-Disclinations.pdf (933.68 Ko) Télécharger le fichier
Origin : Files produced by the author(s)
Loading...

Dates and versions

hal-02907623 , version 1 (27-07-2020)

Identifiers

Cite

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, 2019, 156-157, pp.210-215. ⟨10.1016/j.ijsolstr.2018.08.015⟩. ⟨hal-02907623⟩
31 View
79 Download

Altmetric

Share

Gmail Facebook X LinkedIn More