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14 pages, 1347 KiB  
Article
Extended Caking Method for Strain Analysis of Polycrystalline Diffraction Debye–Scherrer Rings
by Fatih Uzun, Dominik Daisenberger, Konstantinos Liogas, Zifan Ivan Wang, Jingwei Chen, Cyril Besnard and Alexander M. Korsunsky
Crystals 2024, 14(8), 716; https://doi.org/10.3390/cryst14080716 - 9 Aug 2024
Cited by 3 | Viewed by 1891
Abstract
Polycrystalline diffraction is a robust methodology employed to assess elastic strain within crystalline components. The Extended Caking (exCaking) method represents a progression of this methodology beyond the conventional azimuthal segmentation (Caking) method for the quantification of elastic strains using Debye–Scherrer 2D X-ray diffraction [...] Read more.
Polycrystalline diffraction is a robust methodology employed to assess elastic strain within crystalline components. The Extended Caking (exCaking) method represents a progression of this methodology beyond the conventional azimuthal segmentation (Caking) method for the quantification of elastic strains using Debye–Scherrer 2D X-ray diffraction rings. The proposed method is based on the premise that each complete diffraction ring contains comprehensive information about the complete elastic strain variation in the plane normal to the incident beam, which allows for the introduction of a novel algorithm that analyses Debye–Scherrer rings with complete angular variation using ellipse geometry, ensuring accuracy even for small eccentricity values and offering greater accuracy overall. The console application of the exCaking method allows for the accurate analysis of polycrystalline X-ray diffraction data according to the up-to-date rules presented in the project repository. This study presents both numerical and empirical examinations and error analysis to substantiate the method’s reliability and accuracy. A specific validation case study is also presented to analyze the distribution of residual elastic strains in terms of force balance in a Ti-6Al-4V titanium alloy bar plastically deformed by four-point bending. Full article
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13 pages, 2094 KiB  
Article
Digital Image Correlation of 2D X-ray Powder Diffraction Data for Lattice Strain Evaluation
by Hongjia Zhang, Tan Sui, Enrico Salvati, Dominik Daisenberger, Alexander J. G. Lunt, Kai Soon Fong, Xu Song and Alexander M. Korsunsky
Materials 2018, 11(3), 427; https://doi.org/10.3390/ma11030427 - 15 Mar 2018
Cited by 11 | Viewed by 6180
Abstract
High energy 2D X-ray powder diffraction experiments are widely used for lattice strain measurement. The 2D to 1D conversion of diffraction patterns is a necessary step used to prepare the data for full pattern refinement, but is inefficient when only peak centre position [...] Read more.
High energy 2D X-ray powder diffraction experiments are widely used for lattice strain measurement. The 2D to 1D conversion of diffraction patterns is a necessary step used to prepare the data for full pattern refinement, but is inefficient when only peak centre position information is required for lattice strain evaluation. The multi-step conversion process is likely to lead to increased errors associated with the ‘caking’ (radial binning) or fitting procedures. A new method is proposed here that relies on direct Digital Image Correlation analysis of 2D X-ray powder diffraction patterns (XRD-DIC, for short). As an example of using XRD-DIC, residual strain values along the central line in a Mg AZ31B alloy bar after 3-point bending are calculated by using both XRD-DIC and the conventional ‘caking’ with fitting procedures. Comparison of the results for strain values in different azimuthal angles demonstrates excellent agreement between the two methods. The principal strains and directions are calculated using multiple direction strain data, leading to full in-plane strain evaluation. It is therefore concluded that XRD-DIC provides a reliable and robust method for strain evaluation from 2D powder diffraction data. The XRD-DIC approach simplifies the analysis process by skipping 2D to 1D conversion, and opens new possibilities for robust 2D powder diffraction data analysis for full in-plane strain evaluation. Full article
(This article belongs to the Special Issue ICKEM2018 - Hierarchically Structured Materials (HSM))
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