Quantifying Dynamic Signal Spread in Real-Time High-Energy X-ray Diffraction

Banco, Daniel P.; Miller, Eric; Beaudoin, Armand; Miller, Matthew P.; Chatterjee, Kamalika

doi:10.1007/s40192-022-00281-4

Quantifying Dynamic Signal Spread in Real-Time High-Energy X-ray Diffraction

Journal Article · 04 November 2022 · Integrating Materials and Manufacturing Innovation

DOI:https://doi.org/10.1007/s40192-022-00281-4· OSTI ID:2423573

; Miller, Eric; Beaudoin, Armand; Miller, Matthew P.; Chatterjee, Kamalika

Abstract

Measured intensity in high-energy monochromatic X-ray diffraction (HEXD) experiments provides information regarding the microstructure of the crystalline material under study. The location of intensity on an areal detector is determined by the lattice spacing and orientation of crystals so that changes in theheterogeneityof these quantities are reflected in the spreading of diffraction peaks over time. High temporal resolution of such dynamics can now be experimentally observed using technologies such as the mixed-mode pixel array detector (MM-PAD) which facilitates in situ dynamic HEXD experiments to study plasticity and its underlying mechanisms. In this paper, we define and demonstrate a feature computed directly from such diffraction time series data quantifying signal spread in a manner that is correlated with plastic deformation of the sample. A distinguishing characteristic of the analysis is the capability to describe the evolution from the distinct diffraction peaks of an undeformed alloy sample through to the non-uniform Debye–Scherrer rings developed upon significant plastic deformation. We build on our previous work modeling data using an overcomplete dictionary by treating temporal measurements jointly to improve signal spread recovery. We demonstrate our approach in simulations and on experimental HEXD measurements captured using the MM-PAD. Our method for characterizing the temporal evolution of signal spread is shown to provide an informative means of data analysis that adds to the capabilities of existing methods. Our work draws on ideas from convolutional sparse coding and requires solving a coupled convex optimization problem based on the alternating direction method of multipliers.

Research Organization:: Argonne National Laboratory (ANL), Argonne, IL (United States). Advanced Photon Source (APS)

Sponsoring Organization:: USDOE

DOE Contract Number:: AC02-06CH11357

OSTI ID:: 2423573

Journal Information:: Integrating Materials and Manufacturing Innovation, Journal Name: Integrating Materials and Manufacturing Innovation Journal Issue: 4 Vol. 11; ISSN 2193-9764

Publisher:: Springer

Country of Publication:: United States

Language:: English

References (23)

A rotational and axial motion system load frame insert for in situ high energy x-ray studies Shade, Paul A.; Blank, Basil; Schuren, Jay C. Review of Scientific Instruments, Vol. 86, Issue 9 https://doi.org/10.1063/1.4927855	journal	September 2015
Compressed sensing with coherent and redundant dictionaries Candès, Emmanuel J.; Eldar, Yonina C.; Needell, Deanna Applied and Computational Harmonic Analysis, Vol. 31, Issue 1 https://doi.org/10.1016/j.acha.2010.10.002	journal	July 2011
Small-angle solution scattering using the mixed-mode pixel array detector Koerner, Lucas J.; Gillilan, Richard E.; Green, Katherine S. Journal of Synchrotron Radiation, Vol. 18, Issue 2 https://doi.org/10.1107/S0909049510045607	journal	December 2010
Computational Methods for Inverse Problems Vogel, Curtis R. Frontiers in Applied Mathematics https://doi.org/10.1137/1.9780898717570	book	January 2002
Characterization of a Small-Scale Prototype Detector With Wide Dynamic Range for Time-Resolved High-Energy X-Ray Applications Shanks, Katherine S.; Philipp, Hugh T.; Weizeorick, John T. IEEE Transactions on Nuclear Science, Vol. 68, Issue 12 https://doi.org/10.1109/TNS.2021.3121218	journal	December 2021
Convolutional Dictionary Learning: A Comparative Review and New Algorithms Garcia-Cardona, Cristina; Wohlberg, Brendt IEEE Transactions on Computational Imaging, Vol. 4, Issue 3 https://doi.org/10.1109/TCI.2018.2840334	journal	September 2018
High-Energy Coherent X-Ray Diffraction Microscopy of Polycrystal Grains: Steps Toward a Multiscale Approach Maddali, S.; Park, J. -S.; Sharma, H. Physical Review Applied, Vol. 14, Issue 2 https://doi.org/10.1103/PhysRevApplied.14.024085	journal	August 2020
Determining heterogeneous slip activity on multiple slip systems from single crystal orientation pole figures Pagan, Darren C.; Miller, Matthew P. Acta Materialia, Vol. 116 https://doi.org/10.1016/j.actamat.2016.06.020	journal	September 2016
Exploring new links between crystal plasticity models and high-energy X-ray diffraction microscopy Shade, Paul A.; Musinski, William D.; Obstalecki, Mark Current Opinion in Solid State and Materials Science, Vol. 23, Issue 5 https://doi.org/10.1016/j.cossms.2019.07.002	journal	October 2019
Large-scale 3D random polycrystals for the finite element method: Generation, meshing and remeshing Quey, R.; Dawson, P. R.; Barbe, F. Computer Methods in Applied Mechanics and Engineering, Vol. 200, Issue 17-20 https://doi.org/10.1016/j.cma.2011.01.002	journal	April 2011
High dynamic range CdTe mixed-mode pixel array detector (MM-PAD) for kilohertz imaging of hard x-rays Philipp, H. T.; Tate, M. W.; Shanks, K. S. Journal of Instrumentation, Vol. 15, Issue 06 https://doi.org/10.1088/1748-0221/15/06/P06025	journal	June 2020
High-dynamic-range coherent diffractive imaging: ptychography using the mixed-mode pixel array detector Giewekemeyer, Klaus; Philipp, Hugh T.; Wilke, Robin N. Journal of Synchrotron Radiation, Vol. 21, Issue 5 https://doi.org/10.1107/S1600577514013411	journal	August 2014
Evaluating the Taylor hardening model in polycrystalline Ti using high energy X-ray diffraction microscopy Wang, Leyun; Lu, Ziliang; Li, Hancheng Scripta Materialia, Vol. 195 https://doi.org/10.1016/j.scriptamat.2021.113743	journal	April 2021
In-situ diffraction based observations of slip near phase boundaries in titanium through micropillar compression Jun, Tea-Sung; Bhowmik, Ayan; Maeder, Xavier Materials Characterization, Vol. 184 https://doi.org/10.1016/j.matchar.2021.111695	journal	February 2022
Proximal Algorithms Parikh, Neal Foundations and Trends® in Optimization, Vol. 1, Issue 3 https://doi.org/10.1561/2400000003	journal	January 2014
Characterization of 128 × 128 MM-PAD-2.1 ASIC: a fast framing hard x-ray detector with high dynamic range Gadkari, D.; Shanks, K. S.; Hu, H. Journal of Instrumentation, Vol. 17, Issue 03 https://doi.org/10.1088/1748-0221/17/03/P03003	journal	March 2022
Single-Crystal Elastic Moduli and the hcp → bcc Transformation in Ti, Zr, and Hf Fisher, E. S.; Renken, C. J. Physical Review, Vol. 135, Issue 2A https://doi.org/10.1103/PhysRev.135.A482	journal	July 1964
Quantitative analysis of crystal scale deformation heterogeneity during cyclic plasticity using high-energy X-ray diffraction and finite-element simulation Obstalecki, Mark; Wong, Su Leen; Dawson, Paul R. Acta Materialia, Vol. 75 https://doi.org/10.1016/j.actamat.2014.04.059	journal	August 2014
Distributed Optimization and Statistical Learning via the Alternating Direction Method of Multipliers Boyd, Stephen; Parikh, Neal; Chu, Eric https://doi.org/10.1561/2200000016	book	January 2011
Modeling slip system strength evolution in Ti-7Al informed by in-situ grain stress measurements Pagan, Darren C.; Shade, Paul A.; Barton, Nathan R. Acta Materialia, Vol. 128 https://doi.org/10.1016/j.actamat.2017.02.042	journal	April 2017
Sparse modeling of space- and time-varying diffraction response of a progressively loaded aluminum alloy Banco, Daniel; Miller, Eric; Miller, Matthew P. Materials Characterization, Vol. 145 https://doi.org/10.1016/j.matchar.2018.09.028	journal	November 2018
Connecting heterogeneous single slip to diffraction peak evolution in high-energy monochromatic X-ray experiments Pagan, Darren C.; Miller, Matthew P. Journal of Applied Crystallography, Vol. 47, Issue 3 https://doi.org/10.1107/S1600576714005779	journal	May 2014
Automated Solution of Differential Equations by the Finite Element Method Logg, Anders; Mardal, Kent-Andre; Wells, Garth Lecture Notes in Computational Science and Engineering https://doi.org/10.1007/978-3-642-23099-8	book	January 2012

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