Modeling slip system strength evolution in Ti-7Al informed by in-situ grain stress measurements
Abstract
In this work, far-field high-energy X-ray diffraction microscopy is used to asses the evolution of slip system strengths in hexagonal close-packed (HCP) Ti-7Al during tensile deformation in-situ. The following HCP slip system families are considered: basal $$\langle$$a$$\rangle$$, prismatic $$\langle$$a$$\rangle$$, pyramidal$$\langle$$a$$\rangle$$, and first-order pyramidal $$\langle$$c + a$$\rangle$$. A 1 mm length of the specimen's gauge section, marked with fiducials and comprised of an aggregate of over 500 grains, is tracked during continuous deformation. The response of each slip system family is quantified using ‘slip system strength curves’ that are calculated from the average stress tensors of each grain over the applied deformation history. These curves, which plot the average resolved shear stress for each slip system family versus macroscopic strain, represent a mesoscopic characterization of the aggregate response. A short time-scale transient softening is observed in the basal $$\langle$$a$$\rangle$$, prismatic $$\langle$$a$$\rangle$$, and pyramidal $$\langle$$a$$\rangle$$ slip systems, while a long time-scale transient hardening is observed in the pyramidal $$\langle$$c + a$$\rangle$$ slip systems. These results are used to develop a slip system strength model as part of an elasto-viscoplastic constitutive model for the single crystal behavior. A suite of finite element simulations is performed on a virtual polycrystal to demonstrate the relativemore »
- Authors:
-
- Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
- Air Force Research Lab. (AFRL), Wright-Patterson AFB, OH (United States)
- Argonne National Lab. (ANL), Argonne, IL (United States). Advanced Photon Source (APS)
- Carnegie Mellon Univ., Pittsburgh, PA (United States)
- Publication Date:
- Research Org.:
- Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States); Argonne National Laboratory (ANL), Argonne, IL (United States). Advanced Photon Source (APS)
- Sponsoring Org.:
- USDOE National Nuclear Security Administration (NNSA); USDOE Office of Under Secretary for Energy; Air Force Research Laboratory (AFRL). Materials and Manufacturing Directorate; USDOE Office of Science (SC), Basic Energy Sciences (BES). Scientific User Facilities Division
- OSTI Identifier:
- 1781294
- Alternate Identifier(s):
- OSTI ID: 1372694; OSTI ID: 1397848
- Report Number(s):
- LLNL-JRNL-703660
Journal ID: ISSN 1359-6454; 836747
- Grant/Contract Number:
- AC52-07NA27344; AC02-06CH11357; LLNL-JRNL-703660
- Resource Type:
- Journal Article: Accepted Manuscript
- Journal Name:
- Acta Materialia
- Additional Journal Information:
- Journal Volume: 128; Journal ID: ISSN 1359-6454
- Publisher:
- Elsevier
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 36 MATERIALS SCIENCE; Titanium; Diffraction; Slip system strength; Crystal plasticity
Citation Formats
Pagan, Darren C., Shade, Paul A., Barton, Nathan R., Park, Jun-Sang, Kenesei, Peter, Menasche, David B., and Bernier, Joel V. Modeling slip system strength evolution in Ti-7Al informed by in-situ grain stress measurements. United States: N. p., 2017.
Web. doi:10.1016/j.actamat.2017.02.042.
Pagan, Darren C., Shade, Paul A., Barton, Nathan R., Park, Jun-Sang, Kenesei, Peter, Menasche, David B., & Bernier, Joel V. Modeling slip system strength evolution in Ti-7Al informed by in-situ grain stress measurements. United States. https://doi.org/10.1016/j.actamat.2017.02.042
Pagan, Darren C., Shade, Paul A., Barton, Nathan R., Park, Jun-Sang, Kenesei, Peter, Menasche, David B., and Bernier, Joel V. 2017.
"Modeling slip system strength evolution in Ti-7Al informed by in-situ grain stress measurements". United States. https://doi.org/10.1016/j.actamat.2017.02.042. https://www.osti.gov/servlets/purl/1781294.
@article{osti_1781294,
title = {Modeling slip system strength evolution in Ti-7Al informed by in-situ grain stress measurements},
author = {Pagan, Darren C. and Shade, Paul A. and Barton, Nathan R. and Park, Jun-Sang and Kenesei, Peter and Menasche, David B. and Bernier, Joel V.},
abstractNote = {In this work, far-field high-energy X-ray diffraction microscopy is used to asses the evolution of slip system strengths in hexagonal close-packed (HCP) Ti-7Al during tensile deformation in-situ. The following HCP slip system families are considered: basal $\langle$a$\rangle$, prismatic $\langle$a$\rangle$, pyramidal$\langle$a$\rangle$, and first-order pyramidal $\langle$c + a$\rangle$. A 1 mm length of the specimen's gauge section, marked with fiducials and comprised of an aggregate of over 500 grains, is tracked during continuous deformation. The response of each slip system family is quantified using ‘slip system strength curves’ that are calculated from the average stress tensors of each grain over the applied deformation history. These curves, which plot the average resolved shear stress for each slip system family versus macroscopic strain, represent a mesoscopic characterization of the aggregate response. A short time-scale transient softening is observed in the basal $\langle$a$\rangle$, prismatic $\langle$a$\rangle$, and pyramidal $\langle$a$\rangle$ slip systems, while a long time-scale transient hardening is observed in the pyramidal $\langle$c + a$\rangle$ slip systems. These results are used to develop a slip system strength model as part of an elasto-viscoplastic constitutive model for the single crystal behavior. A suite of finite element simulations is performed on a virtual polycrystal to demonstrate the relative effects of the different parameters in the slip system strength model. The model is shown to accurately capture the macroscopic stress-strain response using parameters that are chosen to capture the mesoscopic slip system responses.},
doi = {10.1016/j.actamat.2017.02.042},
url = {https://www.osti.gov/biblio/1781294},
journal = {Acta Materialia},
issn = {1359-6454},
number = ,
volume = 128,
place = {United States},
year = {Fri Feb 17 00:00:00 EST 2017},
month = {Fri Feb 17 00:00:00 EST 2017}
}
Web of Science
Works referenced in this record:
Fiducial marker application method for position alignment of in situ multimodal X-ray experiments and reconstructions
journal, March 2016
- Shade, Paul A.; Menasche, David B.; Bernier, Joel V.
- Journal of Applied Crystallography, Vol. 49, Issue 2
Synchrotron applications of an amorphous silicon flat-panel detector
journal, July 2008
- Lee, John H.; Aydıner, C. Can; Almer, Jonathan
- Journal of Synchrotron Radiation, Vol. 15, Issue 5
A rotational and axial motion system load frame insert for in situ high energy x-ray studies
journal, September 2015
- Shade, Paul A.; Blank, Basil; Schuren, Jay C.
- Review of Scientific Instruments, Vol. 86, Issue 9
Integrated computational materials engineering: A new paradigm for the global materials profession
journal, November 2006
- Allison, John; Backman, Dan; Christodoulou, Leo
- JOM, Vol. 58, Issue 11
A fast methodology to determine the characteristics of thousands of grains using three-dimensional X-ray diffraction. II. Volume, centre-of-mass position, crystallographic orientation and strain state of grains
journal, July 2012
- Sharma, Hemant; Huizenga, Richard M.; Offerman, S. Erik
- Journal of Applied Crystallography, Vol. 45, Issue 4
Single-Crystal Elastic Moduli and the hcp → bcc Transformation in Ti, Zr, and Hf
journal, July 1964
- Fisher, E. S.; Renken, C. J.
- Physical Review, Vol. 135, Issue 2A
The identification of a Non-Basal slip vector in titanium and Titanium-Aluminum alloys
journal, January 1968
- Williams, J. C.; Blackburn, M. J.
- Physica Status Solidi (b), Vol. 25, Issue 1
High-energy diffraction microscopy at the advanced photon source
journal, July 2011
- Lienert, U.; Li, S. F.; Hefferan, C. M.
- JOM, Vol. 63, Issue 7
Modeling void growth in polycrystalline materials
journal, October 2013
- Lebensohn, Ricardo A.; Escobedo, Juan P.; Cerreta, Ellen K.
- Acta Materialia, Vol. 61, Issue 18
Understanding local deformation in metallic polycrystals using high energy X-rays and finite elements
journal, October 2014
- Miller, M. P.; Dawson, P. R.
- Current Opinion in Solid State and Materials Science, Vol. 18, Issue 5
Quantitative analysis of crystal scale deformation heterogeneity during cyclic plasticity using high-energy X-ray diffraction and finite-element simulation
journal, August 2014
- Obstalecki, Mark; Wong, Su Leen; Dawson, Paul R.
- Acta Materialia, Vol. 75
Crystal Plasticity
journal, December 1983
- Asaro, R. J.
- Journal of Applied Mechanics, Vol. 50, Issue 4b
Efficient subpixel image registration algorithms
journal, January 2008
- Guizar-Sicairos, Manuel; Thurman, Samuel T.; Fienup, James R.
- Optics Letters, Vol. 33, Issue 2
Study of Structure and Deformation Pathways in Ti-7Al Using Atomistic Simulations, Experiments, and Characterization
journal, March 2017
- Venkataraman, Ajey; Shade, Paul A.; Adebisi, R.
- Metallurgical and Materials Transactions A, Vol. 48, Issue 5
Latent hardening in copper and aluminium single crystals
journal, March 1980
- Franciosi, P.; Berveiller, M.; Zaoui, A.
- Acta Metallurgica, Vol. 28, Issue 3
Study of grain-level deformation and residual stresses in Ti-7Al under combined bending and tension using high energy diffraction microscopy (HEDM)
journal, September 2016
- Chatterjee, K.; Venkataraman, A.; Garbaciak, T.
- International Journal of Solids and Structures, Vol. 94-95
Relation of dislocation density in different slip systems to work hardening parameters for magnesium crystals
journal, April 1975
- Lavrentev, F. F.; Pokhil, Yu. A.
- Materials Science and Engineering, Vol. 18, Issue 2
Far-field high-energy diffraction microscopy: a tool for intergranular orientation and strain analysis
journal, July 2011
- Bernier, J. V.; Barton, N. R.; Lienert, U.
- The Journal of Strain Analysis for Engineering Design, Vol. 46, Issue 7
In situ single-grain peak profile measurements on Ti–7Al during tensile deformation
journal, October 2009
- Lienert, U.; Brandes, M. C.; Bernier, J. V.
- Materials Science and Engineering: A, Vol. 524, Issue 1-2
Determining grain resolved stresses in polycrystalline materials using three-dimensional X-ray diffraction
journal, April 2010
- Oddershede, Jette; Schmidt, Søren; Poulsen, Henning Friis
- Journal of Applied Crystallography, Vol. 43, Issue 3
Overview of constitutive laws, kinematics, homogenization and multiscale methods in crystal plasticity finite-element modeling: Theory, experiments, applications
journal, February 2010
- Roters, F.; Eisenlohr, P.; Hantcherli, L.
- Acta Materialia, Vol. 58, Issue 4
Characterization of microstructural anisotropy in orthotropic materials using a second rank tensor
journal, March 1984
- Harrigan, T. P.; Mann, R. W.
- Journal of Materials Science, Vol. 19, Issue 3
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
Effect of texture and slip mode on the anisotropy of plastic flow and flow softening during hot working of Ti-6Al-4V
journal, July 2001
- Semiatin, S. L.; Bieler, T. R.
- Metallurgical and Materials Transactions A, Vol. 32, Issue 7
Key computational modeling issues in Integrated Computational Materials Engineering
journal, January 2013
- Panchal, Jitesh H.; Kalidindi, Surya R.; McDowell, David L.
- Computer-Aided Design, Vol. 45, Issue 1
Short-range order (SRO) and its effect on the primary creep behavior of a Ti–6wt.%Al alloy
journal, December 2001
- Neeraj, T.; Mills, M. J.
- Materials Science and Engineering: A, Vol. 319-321
Crystal Plasticity Model Validation Using Combined High-Energy Diffraction Microscopy Data for a Ti-7Al Specimen
journal, November 2016
- Turner, Todd J.; Shade, Paul A.; Bernier, Joel V.
- Metallurgical and Materials Transactions A, Vol. 48, Issue 2
Mechanical twinning and detwinning in pure Ti during loading and unloading – An in situ high-energy X-ray diffraction microscopy study
journal, December 2014
- Wang, L.; Lind, J.; Phukan, H.
- Scripta Materialia, Vol. 92
Kinetics of flow and strain-hardening
journal, November 1981
- Mecking, H.; Kocks, U. F.
- Acta Metallurgica, Vol. 29, Issue 11
New opportunities for quantitative tracking of polycrystal responses in three dimensions
journal, August 2015
- Schuren, Jay C.; Shade, Paul A.; Bernier, Joel V.
- Current Opinion in Solid State and Materials Science, Vol. 19, Issue 4
Defect evolution and pore collapse in crystalline energetic materials
journal, February 2009
- Barton, Nathan R.; Winter, Nicholas W.; Reaugh, John E.
- Modelling and Simulation in Materials Science and Engineering, Vol. 17, Issue 3
On modelling the elasto-viscoplastic response of metals using polycrystal plasticity
journal, November 1998
- Marin, E. B.; Dawson, P. R.
- Computer Methods in Applied Mechanics and Engineering, Vol. 165, Issue 1-4
The effect of aluminium on twinning in binary alpha-titanium
journal, January 2016
- Fitzner, Arnas; Prakash, D. G. Leo; da Fonseca, Joao Quinta
- Acta Materialia, Vol. 103
Static recovery in titanium alloys at lower temperatures
journal, December 2004
- Brandes, Matthew; Mills, Michael J.
- Materials Science and Engineering: A, Vol. 387-389
Plastic behavior of titanium-aluminum alloys
journal, February 1974
- Truax, D. J.; McMahon, C. J.
- Materials Science and Engineering, Vol. 13, Issue 2
A polycrystal plasticity model of strain localization in irradiated iron
journal, February 2013
- Barton, Nathan R.; Arsenlis, Athanasios; Marian, Jaime
- Journal of the Mechanics and Physics of Solids, Vol. 61, Issue 2
Fatigue crack growth rates in alpha titanium: Faceted vs. striation growth
journal, March 2013
- Pilchak, Adam L.
- Scripta Materialia, Vol. 68, Issue 5
Works referencing / citing this record:
Optimization of VPSC Model Parameters for Two-Phase Titanium Alloys: Flow Stress Vs Orientation Distribution Function Metrics
journal, June 2018
- Miller, V. M.; Semiatin, S. L.; Szczepanski, C.
- Metallurgical and Materials Transactions A, Vol. 49, Issue 8
Uncertainty Quantification in the Mechanical Response of Crystal Plasticity Simulations
journal, June 2019
- Bandyopadhyay, Ritwik; Prithivirajan, Veerappan; Sangid, Michael D.
- JOM, Vol. 71, Issue 8
Parametrically Homogenized Constitutive Models (PHCMs) for Multi-scale Predictions of Fatigue Crack Nucleation in Titanium Alloys
journal, June 2019
- Ozturk, Deniz; Kotha, Shravan; Pilchak, Adam L.
- JOM, Vol. 71, Issue 8
In-Situ Grain Resolved Stress Characterization During Damage Initiation in Cu-10%W Alloy
journal, July 2019
- Pokharel, Reeju; Lebensohn, Ricardo A.; Pagan, Darren C.
- JOM, Vol. 72, Issue 1
Automated Grain Yield Behavior Classification
journal, September 2019
- Pagan, Darren C.; Kaminsky, Jakob; Tayon, Wesley A.
- JOM, Vol. 71, Issue 10
Crystal Plasticity Model Calibration for Ti-7Al Alloy with a Multi-fidelity Computational Scheme
journal, November 2018
- Acar, Pınar
- Integrating Materials and Manufacturing Innovation, Vol. 7, Issue 4
Intermittent plasticity in individual grains: A study using high energy x-ray diffraction
journal, January 2019
- Chatterjee, K.; Beaudoin, A. J.; Pagan, D. C.
- Structural Dynamics, Vol. 6, Issue 1
Measuring stress-induced martensite microstructures using far-field high-energy diffraction microscopy
journal, August 2018
- Bucsek, Ashley Nicole; Dale, Darren; Ko, Jun Young Peter
- Acta Crystallographica Section A Foundations and Advances, Vol. 74, Issue 5
Intragranular three-dimensional stress tensor fields in plastically deformed polycrystals
journal, December 2019
- Hayashi, Yujiro; Setoyama, Daigo; Hirose, Yoshiharu
- Science, Vol. 366, Issue 6472
Investigation of strain redistribution mechanism in α titanium by image-based crystal plasticity analysis
journal, September 2019
- Kawano, Yoshiki; Ohashi, Tetsuya; Mayama, Tsuyoshi
- The European Physical Journal B, Vol. 92, Issue 9
Intermittent plasticity in individual grains: A study using high energy x-ray diffraction
journal, January 2019
- Chatterjee, K.; Beaudoin, A. J.; Pagan, D. C.
- Structural Dynamics, Vol. 6, Issue 1
Combined Effects of Texture and Grain Size Distribution on the Tensile Behavior of α-Titanium
journal, June 2018
- Richeton, Thiebaud; Wagner, Francis; Chen, Cai
- Materials, Vol. 11, Issue 7