Tangential continuity of the curvature tensor at grain boundaries underpins disclination density determination from spatially mapped orientation data. (January 2019)

• Record Type: Journal Article
• Authors: Fressengeas, C.; Beausir, B.
• Is Part Of: International journal of solids and structures. Volume 156/157(2019)
• Page Start: 210
• Page End: 215
• Publication Date: 2019-01
• Subjects: Dislocations -- Disclinations -- Grain boundaries -- Electron backscatter diffraction (EBSD); Mechanics, Applied -- Periodicals; Structural analysis (Engineering) -- Periodicals; Elastic solids -- Periodicals; Mécanique appliquée -- Périodiques; Constructions, Théorie des -- Périodiques; Solides élastiques -- Périodiques; Elastic solids; Mechanics, Applied; Structural analysis (Engineering); Periodicals; 624.18
• DOI: 10.1016/j.ijsolstr.2018.08.015
• Languages: English
• ISSNs: 0020-7683

Abstract

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 backscattered 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.