Determining the strengths of HCP slip systems using harmonic analyses of lattice strain distributions
Abstract
A robust methodology is presented to extract slip system strengths from lattice strain distributions for polycrystalline samples obtained from high-energy x-ray diffraction (HEXD) experiments with in situ loading. The methodology consists of matching the evolution of coefficients of a harmonic expansion of the distributions from simulation to the coefficients derived from measurements. Simulation results are generated via finite element simulations of virtual polycrystals that are subjected to the loading history applied in the HEXD experiments. Advantages of the methodology include: (1) its ability to utilize extensive data sets generated by HEXD experiments; (2) its ability to capture trends in distributions that may be noisy (both measured and simulated); and (3) its sensitivity to the ratios of the family strengths. The approach is used to evaluate the slip system strengths of Ti-6Al-4V using samples having relatively equiaxed grains. These strength estimates are compared to values in the literature.
- Authors:
-
- Cornell Univ., Ithaca, NY (United States)
- Argonne National Lab. (ANL), Argonne, IL (United States)
- Univ. of Glasgow, Scotland (United Kingdom)
- Publication Date:
- Research Org.:
- Argonne National Lab. (ANL), Argonne, IL (United States)
- Sponsoring Org.:
- Cornell High Energy Synchrotron Source (CHESS); US Department of the Navy, Office of Naval Research (ONR); National Science Foundation (NSF); National Institutes of Health (NIH) - National Institute of General Medical Sciences
- OSTI Identifier:
- 1426773
- Grant/Contract Number:
- AC02-06CH11357
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Acta Materialia
- Additional Journal Information:
- Journal Volume: 144; Journal Issue: C; Journal ID: ISSN 1359-6454
- Publisher:
- Elsevier
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 42 ENGINEERING
Citation Formats
Dawson, Paul R., Boyce, Donald E., Park, Jun-Sang, Wielewski, Euan, and Miller, Matthew P. Determining the strengths of HCP slip systems using harmonic analyses of lattice strain distributions. United States: N. p., 2017.
Web. doi:10.1016/j.actamat.2017.10.032.
Dawson, Paul R., Boyce, Donald E., Park, Jun-Sang, Wielewski, Euan, & Miller, Matthew P. Determining the strengths of HCP slip systems using harmonic analyses of lattice strain distributions. United States. https://doi.org/10.1016/j.actamat.2017.10.032
Dawson, Paul R., Boyce, Donald E., Park, Jun-Sang, Wielewski, Euan, and Miller, Matthew P. Sun .
"Determining the strengths of HCP slip systems using harmonic analyses of lattice strain distributions". United States. https://doi.org/10.1016/j.actamat.2017.10.032. https://www.osti.gov/servlets/purl/1426773.
@article{osti_1426773,
title = {Determining the strengths of HCP slip systems using harmonic analyses of lattice strain distributions},
author = {Dawson, Paul R. and Boyce, Donald E. and Park, Jun-Sang and Wielewski, Euan and Miller, Matthew P.},
abstractNote = {A robust methodology is presented to extract slip system strengths from lattice strain distributions for polycrystalline samples obtained from high-energy x-ray diffraction (HEXD) experiments with in situ loading. The methodology consists of matching the evolution of coefficients of a harmonic expansion of the distributions from simulation to the coefficients derived from measurements. Simulation results are generated via finite element simulations of virtual polycrystals that are subjected to the loading history applied in the HEXD experiments. Advantages of the methodology include: (1) its ability to utilize extensive data sets generated by HEXD experiments; (2) its ability to capture trends in distributions that may be noisy (both measured and simulated); and (3) its sensitivity to the ratios of the family strengths. The approach is used to evaluate the slip system strengths of Ti-6Al-4V using samples having relatively equiaxed grains. These strength estimates are compared to values in the literature.},
doi = {10.1016/j.actamat.2017.10.032},
journal = {Acta Materialia},
number = C,
volume = 144,
place = {United States},
year = {Sun Oct 15 00:00:00 EDT 2017},
month = {Sun Oct 15 00:00:00 EDT 2017}
}
Web of Science
Works referenced in this record:
Deformation behavior of HCP Ti-Al alloy single crystals
journal, March 2002
- Williams, J. C.; Baggerly, R. G.; Paton, N. E.
- Metallurgical and Materials Transactions A, Vol. 33, Issue 3
Anisotropy in the plastic flow properties of single-crystal α titanium determined from micro-cantilever beams
journal, November 2009
- Gong, Jicheng; Wilkinson, Angus J.
- Acta Materialia, Vol. 57, Issue 19
Methodology for estimating the critical resolved shear stress ratios of α-phase Ti using EBSD-based trace analysis
journal, December 2013
- Li, H.; Mason, D. E.; Bieler, T. R.
- Acta Materialia, Vol. 61, Issue 20
Incipient slip and long range plastic strain localization in microtextured Ti-6Al-4V titanium
journal, August 2016
- Echlin, McLean P.; Stinville, Jean Charles; Miller, Victoria M.
- Acta Materialia, Vol. 114
On the influence of crystal elastic moduli on computed lattice strains in AA-5182 following plastic straining
journal, August 2001
- Dawson, Paul; Boyce, Donald; MacEwen, Stuart
- Materials Science and Engineering: A, Vol. 313, Issue 1-2
Lattice strain partitioning in a two-phase alloy and its redistribution upon yielding
journal, September 2005
- Han, Tong-Seok; Dawson, Paul R.
- Materials Science and Engineering: A, Vol. 405, Issue 1-2
Finite element modelling and diffraction measurement of elastic strains during tensile deformation of HCP polycrystals
journal, November 2008
- Song, Xu; Zhang, Shu Yan; Dini, Daniele
- Computational Materials Science, Vol. 44, Issue 1
Orientation dependence of stress distributions in polycrystals deforming elastoplastically under biaxial loadings
journal, May 2012
- Marin, T.; Dawson, P. R.; Gharghouri, M. A.
- Journal of the Mechanics and Physics of Solids, Vol. 60, Issue 5
Modeling slip system strength evolution in Ti-7Al informed by in-situ grain stress measurements
journal, April 2017
- Pagan, Darren C.; Shade, Paul A.; Barton, Nathan R.
- Acta Materialia, Vol. 128
Analyzing the orientation dependence of stresses in polycrystals using vertices of the single crystal yield surface and crystallographic fibers of orientation space
journal, January 2010
- Ritz, Hadas; Dawson, Paul; Marin, Tito
- Journal of the Mechanics and Physics of Solids, Vol. 58, Issue 1
Influence of directional strength-to-stiffness on the elastic–plastic transition of fcc polycrystals under uniaxial tensile loading
journal, March 2010
- Wong, S. L.; Dawson, P. R.
- Acta Materialia, Vol. 58, Issue 5
A methodology to determine the elastic moduli of crystals by matching experimental and simulated lattice strain pole figures using discrete harmonics
journal, March 2017
- Wielewski, Euan; Boyce, Donald E.; Park, Jun-Sang
- Acta Materialia, Vol. 126
Quantitative Rietveld texture analysis of zirconium from single synchrotron diffraction images
journal, March 2005
- Ischia, Gloria; Wenk, Hans-Rudolf; Lutterotti, Luca
- Journal of Applied Crystallography, Vol. 38, Issue 2
The TriBeam system: Femtosecond laser ablation in situ SEM
journal, February 2015
- Echlin, McLean P.; Straw, Marcus; Randolph, Steven
- Materials Characterization, Vol. 100
Experimental measurement of lattice strain pole figures using synchrotron x rays
journal, November 2005
- Miller, M. P.; Bernier, J. V.; Park, J. -S.
- Review of Scientific Instruments, Vol. 76, Issue 11
Evolution of the crystal stress distributions in face-centered cubic polycrystals subjected to cyclic loading
journal, October 2011
- Wong, Su Leen; Dawson, Paul R.
- Acta Materialia, Vol. 59, Issue 18
Stress-state dependence of slip in Titanium-6Al-4V and other H.C.P. metals
journal, June 1981
- Jones, I. P.; Hutchinson, W. B.
- Acta Metallurgica, Vol. 29, Issue 6
Crystal plasticity modeling of slip activity in Ti–6Al–4V under high cycle fatigue loading
journal, June 2009
- Bridier, Florent; McDowell, David L.; Villechaise, Patrick
- International Journal of Plasticity, Vol. 25, Issue 6
On slip initiation in equiaxed α/β Ti-6Al-4V
journal, September 2017
- Kasemer, Matthew; Echlin, McLean P.; Stinville, Jean Charles
- Acta Materialia, Vol. 136
Crystal Rotations Represented as Rodrigues Vectors
journal, January 1989
- Becker, R.; Panchanadeeswaran, S.
- Textures and Microstructures, Vol. 10, Issue 3
Representation of orientation and disorientation data for cubic, hexagonal, tetragonal and orthorhombic crystals
journal, November 1991
- Heinz, A.; Neumann, P.
- Acta Crystallographica Section A Foundations of Crystallography, Vol. 47, Issue 6
Modeling crystallographic texture evolution with finite elements over neo-Eulerian orientation spaces
journal, January 1998
- Kumar, Ashish; Dawson, Paul R.
- Computer Methods in Applied Mechanics and Engineering, Vol. 153, Issue 3-4
Computational modeling of f.c.c. deformation textures over Rodrigues' space
journal, June 2000
- Kumar, A.; Dawson, P. R.
- Acta Materialia, Vol. 48, Issue 10
Works referencing / citing this record:
Estimation of Errors in Stress Distributions Computed in Finite Element Simulations of Polycrystals
journal, November 2019
- Chatterjee, Kamalika; Carson, Robert A.; Dawson, Paul R.
- Integrating Materials and Manufacturing Innovation, Vol. 8, Issue 4