Henningsson N Axel, Hall Stephen A, Wright Jonathan P, Hektor Johan
Division of Solid Mechanics, Lund University, Box 118, 221 00 Lund, Sweden.
European Synchrotron Radiation Facility (ESRF), 71 Avenue des Martyrs, 38000 Grenoble, France.
J Appl Crystallogr. 2020 Feb 21;53(Pt 2):314-325. doi: 10.1107/S1600576720001016. eCollection 2020 Apr 1.
Two methods for reconstructing intragranular strain fields are developed for scanning three-dimensional X-ray diffraction (3DXRD). The methods are compared with a third approach where voxels are reconstructed independently of their neighbours [Hayashi, Setoyama & Seno (2017). , , 157-164]. The 3D strain field of a tin grain, located within a sample of approximately 70 grains, is analysed and compared across reconstruction methods. Implicit assumptions of sub-problem independence, made in the independent voxel reconstruction method, are demonstrated to introduce bias and reduce reconstruction accuracy. It is verified that the two proposed methods remedy these problems by taking the spatial properties of the inverse problem into account. Improvements in reconstruction quality achieved by the two proposed methods are further supported by reconstructions using synthetic diffraction data.
开发了两种用于扫描三维X射线衍射(3DXRD)的重建晶内应变场的方法。将这些方法与第三种方法进行比较,在第三种方法中,体素是独立于其相邻体素进行重建的[Hayashi,Setoyama和Seno(2017年)。,,157 - 164]。分析了位于约70个晶粒的样品中的一个锡晶粒的3D应变场,并在不同的重建方法之间进行比较。结果表明,独立体素重建方法中关于子问题独立性的隐含假设会引入偏差并降低重建精度。验证了所提出的两种方法通过考虑反问题的空间特性来解决这些问题。使用合成衍射数据进行的重建进一步支持了所提出的两种方法在重建质量上的改进。