Modeling slip system strength evolution in Ti-7Al informed by in-situ grain stress measurements

Pagan, Darren C.; Shade, Paul A.; Barton, Nathan R.; Park, Jun-Sang; Kenesei, Peter; Menasche, David B.; Bernier, Joel V.

doi:10.1016/j.actamat.2017.02.042

Title: Modeling slip system strength evolution in Ti-7Al informed by in-situ grain stress measurements

Journal Article · Fri Feb 17 00:00:00 EST 2017 · Acta Materialia

DOI:https://doi.org/10.1016/j.actamat.2017.02.042· OSTI ID:1781294

Pagan, Darren C. ^[1]; Shade, Paul A. ^[2]; Barton, Nathan R. ^[1]; Park, Jun-Sang ^[3]; Kenesei, Peter ^[3]; Menasche, David B. ^[4]; Bernier, Joel V. ^[1]

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)

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.

View Accepted Manuscript (DOE)

View Accepted Manuscript (Publisher)

Cite

Export

Save

Research Organization:: Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States); Argonne National Laboratory (ANL), Argonne, IL (United States). Advanced Photon Source (APS)

Sponsoring Organization:: 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

Grant/Contract Number:: AC52-07NA27344; AC02-06CH11357; LLNL-JRNL-703660

OSTI ID:: 1781294

Alternate ID(s):: OSTI ID: 1372694; OSTI ID: 1397848

Report Number(s):: LLNL-JRNL-703660; 836747

Journal Information:: Acta Materialia, Vol. 128; ISSN 1359-6454

Publisher:: ElsevierCopyright Statement

Country of Publication:: United States

Language:: English

Citation Metrics:

Cited by: 84 works

Citation information provided by
Web of Science

References (38)

Fiducial marker application method for position alignment of in situ multimodal X-ray experiments and reconstructions Shade, Paul A.; Menasche, David B.; Bernier, Joel V. Journal of Applied Crystallography, Vol. 49, Issue 2 https://doi.org/10.1107/S1600576716001989	journal	March 2016
Synchrotron applications of an amorphous silicon flat-panel detector Lee, John H.; Aydıner, C. Can; Almer, Jonathan Journal of Synchrotron Radiation, Vol. 15, Issue 5 https://doi.org/10.1107/S090904950801755X	journal	July 2008
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
Integrated computational materials engineering: A new paradigm for the global materials profession Allison, John; Backman, Dan; Christodoulou, Leo JOM, Vol. 58, Issue 11 https://doi.org/10.1007/s11837-006-0223-5	journal	November 2006
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 Sharma, Hemant; Huizenga, Richard M.; Offerman, S. Erik Journal of Applied Crystallography, Vol. 45, Issue 4 https://doi.org/10.1107/S0021889812025599	journal	July 2012
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
The identification of a Non-Basal slip vector in titanium and Titanium-Aluminum alloys Williams, J. C.; Blackburn, M. J. Physica Status Solidi (b), Vol. 25, Issue 1 https://doi.org/10.1002/pssb.19680250146	journal	January 1968
High-energy diffraction microscopy at the advanced photon source Lienert, U.; Li, S. F.; Hefferan, C. M. JOM, Vol. 63, Issue 7 https://doi.org/10.1007/s11837-011-0116-0	journal	July 2011
Modeling void growth in polycrystalline materials Lebensohn, Ricardo A.; Escobedo, Juan P.; Cerreta, Ellen K. Acta Materialia, Vol. 61, Issue 18 https://doi.org/10.1016/j.actamat.2013.08.004	journal	October 2013
Understanding local deformation in metallic polycrystals using high energy X-rays and finite elements Miller, M. P.; Dawson, P. R. Current Opinion in Solid State and Materials Science, Vol. 18, Issue 5 https://doi.org/10.1016/j.cossms.2014.09.001	journal	October 2014
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
Crystal Plasticity Asaro, R. J. Journal of Applied Mechanics, Vol. 50, Issue 4b https://doi.org/10.1115/1.3167205	journal	December 1983
Efficient subpixel image registration algorithms Guizar-Sicairos, Manuel; Thurman, Samuel T.; Fienup, James R. Optics Letters, Vol. 33, Issue 2 https://doi.org/10.1364/OL.33.000156	journal	January 2008
Study of Structure and Deformation Pathways in Ti-7Al Using Atomistic Simulations, Experiments, and Characterization Venkataraman, Ajey; Shade, Paul A.; Adebisi, R. Metallurgical and Materials Transactions A, Vol. 48, Issue 5 https://doi.org/10.1007/s11661-017-4024-y	journal	March 2017
Latent hardening in copper and aluminium single crystals Franciosi, P.; Berveiller, M.; Zaoui, A. Acta Metallurgica, Vol. 28, Issue 3 https://doi.org/10.1016/0001-6160(80)90162-5	journal	March 1980
Study of grain-level deformation and residual stresses in Ti-7Al under combined bending and tension using high energy diffraction microscopy (HEDM) Chatterjee, K.; Venkataraman, A.; Garbaciak, T. International Journal of Solids and Structures, Vol. 94-95 https://doi.org/10.1016/j.ijsolstr.2016.05.010	journal	September 2016
Relation of dislocation density in different slip systems to work hardening parameters for magnesium crystals Lavrentev, F. F.; Pokhil, Yu. A. Materials Science and Engineering, Vol. 18, Issue 2 https://doi.org/10.1016/0025-5416(75)90179-2	journal	April 1975
Far-field high-energy diffraction microscopy: a tool for intergranular orientation and strain analysis Bernier, J. V.; Barton, N. R.; Lienert, U. The Journal of Strain Analysis for Engineering Design, Vol. 46, Issue 7 https://doi.org/10.1177/0309324711405761	journal	July 2011
In situ single-grain peak profile measurements on Ti–7Al during tensile deformation Lienert, U.; Brandes, M. C.; Bernier, J. V. Materials Science and Engineering: A, Vol. 524, Issue 1-2 https://doi.org/10.1016/j.msea.2009.06.047	journal	October 2009
Determining grain resolved stresses in polycrystalline materials using three-dimensional X-ray diffraction Oddershede, Jette; Schmidt, Søren; Poulsen, Henning Friis Journal of Applied Crystallography, Vol. 43, Issue 3 https://doi.org/10.1107/S0021889810012963	journal	April 2010
Overview of constitutive laws, kinematics, homogenization and multiscale methods in crystal plasticity finite-element modeling: Theory, experiments, applications Roters, F.; Eisenlohr, P.; Hantcherli, L. Acta Materialia, Vol. 58, Issue 4 https://doi.org/10.1016/j.actamat.2009.10.058	journal	February 2010
Characterization of microstructural anisotropy in orthotropic materials using a second rank tensor Harrigan, T. P.; Mann, R. W. Journal of Materials Science, Vol. 19, Issue 3 https://doi.org/10.1007/BF00540446	journal	March 1984
Deformation behavior of HCP Ti-Al alloy single crystals Williams, J. C.; Baggerly, R. G.; Paton, N. E. Metallurgical and Materials Transactions A, Vol. 33, Issue 3 https://doi.org/10.1007/s11661-002-0153-y	journal	March 2002
Effect of texture and slip mode on the anisotropy of plastic flow and flow softening during hot working of Ti-6Al-4V Semiatin, S. L.; Bieler, T. R. Metallurgical and Materials Transactions A, Vol. 32, Issue 7 https://doi.org/10.1007/s11661-001-0155-1	journal	July 2001
Key computational modeling issues in Integrated Computational Materials Engineering Panchal, Jitesh H.; Kalidindi, Surya R.; McDowell, David L. Computer-Aided Design, Vol. 45, Issue 1 https://doi.org/10.1016/j.cad.2012.06.006	journal	January 2013
Short-range order (SRO) and its effect on the primary creep behavior of a Ti–6wt.%Al alloy Neeraj, T.; Mills, M. J. Materials Science and Engineering: A, Vol. 319-321 https://doi.org/10.1016/S0921-5093(01)01045-0	journal	December 2001
Crystal Plasticity Model Validation Using Combined High-Energy Diffraction Microscopy Data for a Ti-7Al Specimen Turner, Todd J.; Shade, Paul A.; Bernier, Joel V. Metallurgical and Materials Transactions A, Vol. 48, Issue 2 https://doi.org/10.1007/s11661-016-3868-x	journal	November 2016
Mechanical twinning and detwinning in pure Ti during loading and unloading – An in situ high-energy X-ray diffraction microscopy study Wang, L.; Lind, J.; Phukan, H. Scripta Materialia, Vol. 92 https://doi.org/10.1016/j.scriptamat.2014.08.008	journal	December 2014
Ductile Fracture by Void Growth to Coalescence Benzerga, A. Amine; Leblond, Jean-Baptiste Advances in Applied Mechanics https://doi.org/10.1016/S0065-2156(10)44003-X	book	January 2010
Kinetics of flow and strain-hardening Mecking, H.; Kocks, U. F. Acta Metallurgica, Vol. 29, Issue 11 https://doi.org/10.1016/0001-6160(81)90112-7	journal	November 1981
New opportunities for quantitative tracking of polycrystal responses in three dimensions Schuren, Jay C.; Shade, Paul A.; Bernier, Joel V. Current Opinion in Solid State and Materials Science, Vol. 19, Issue 4 https://doi.org/10.1016/j.cossms.2014.11.003	journal	August 2015
Defect evolution and pore collapse in crystalline energetic materials Barton, Nathan R.; Winter, Nicholas W.; Reaugh, John E. Modelling and Simulation in Materials Science and Engineering, Vol. 17, Issue 3 https://doi.org/10.1088/0965-0393/17/3/035003	journal	February 2009
On modelling the elasto-viscoplastic response of metals using polycrystal plasticity Marin, E. B.; Dawson, P. R. Computer Methods in Applied Mechanics and Engineering, Vol. 165, Issue 1-4 https://doi.org/10.1016/S0045-7825(98)00034-6	journal	November 1998
The effect of aluminium on twinning in binary alpha-titanium Fitzner, Arnas; Prakash, D. G. Leo; da Fonseca, Joao Quinta Acta Materialia, Vol. 103 https://doi.org/10.1016/j.actamat.2015.09.048	journal	January 2016
Static recovery in titanium alloys at lower temperatures Brandes, Matthew; Mills, Michael J. Materials Science and Engineering: A, Vol. 387-389 https://doi.org/10.1016/j.msea.2004.03.094	journal	December 2004
Plastic behavior of titanium-aluminum alloys Truax, D. J.; McMahon, C. J. Materials Science and Engineering, Vol. 13, Issue 2 https://doi.org/10.1016/0025-5416(74)90181-5	journal	February 1974
A polycrystal plasticity model of strain localization in irradiated iron Barton, Nathan R.; Arsenlis, Athanasios; Marian, Jaime Journal of the Mechanics and Physics of Solids, Vol. 61, Issue 2 https://doi.org/10.1016/j.jmps.2012.10.009	journal	February 2013
Fatigue crack growth rates in alpha titanium: Faceted vs. striation growth Pilchak, Adam L. Scripta Materialia, Vol. 68, Issue 5 https://doi.org/10.1016/j.scriptamat.2012.10.041	journal	March 2013

Cited By (11)

Optimization of VPSC Model Parameters for Two-Phase Titanium Alloys: Flow Stress Vs Orientation Distribution Function Metrics Miller, V. M.; Semiatin, S. L.; Szczepanski, C. Metallurgical and Materials Transactions A, Vol. 49, Issue 8 https://doi.org/10.1007/s11661-018-4716-y	journal	June 2018
Uncertainty Quantification in the Mechanical Response of Crystal Plasticity Simulations Bandyopadhyay, Ritwik; Prithivirajan, Veerappan; Sangid, Michael D. JOM, Vol. 71, Issue 8 https://doi.org/10.1007/s11837-019-03551-3	journal	June 2019
Parametrically Homogenized Constitutive Models (PHCMs) for Multi-scale Predictions of Fatigue Crack Nucleation in Titanium Alloys Ozturk, Deniz; Kotha, Shravan; Pilchak, Adam L. JOM, Vol. 71, Issue 8 https://doi.org/10.1007/s11837-019-03554-0	journal	June 2019
In-Situ Grain Resolved Stress Characterization During Damage Initiation in Cu-10%W Alloy Pokharel, Reeju; Lebensohn, Ricardo A.; Pagan, Darren C. JOM, Vol. 72, Issue 1 https://doi.org/10.1007/s11837-019-03692-5	journal	July 2019
Automated Grain Yield Behavior Classification Pagan, Darren C.; Kaminsky, Jakob; Tayon, Wesley A. JOM, Vol. 71, Issue 10 https://doi.org/10.1007/s11837-019-03706-2	journal	September 2019
Crystal Plasticity Model Calibration for Ti-7Al Alloy with a Multi-fidelity Computational Scheme Acar, Pınar Integrating Materials and Manufacturing Innovation, Vol. 7, Issue 4 https://doi.org/10.1007/s40192-018-0120-0	journal	November 2018
Intermittent plasticity in individual grains: A study using high energy x-ray diffraction Chatterjee, K.; Beaudoin, A. J.; Pagan, D. C. Structural Dynamics, Vol. 6, Issue 1 https://doi.org/10.1063/1.5068756	journal	January 2019
Measuring stress-induced martensite microstructures using far-field high-energy diffraction microscopy Bucsek, Ashley Nicole; Dale, Darren; Ko, Jun Young Peter Acta Crystallographica Section A Foundations and Advances, Vol. 74, Issue 5 https://doi.org/10.1107/s205327331800880x	journal	August 2018
Intragranular three-dimensional stress tensor fields in plastically deformed polycrystals Hayashi, Yujiro; Setoyama, Daigo; Hirose, Yoshiharu Science, Vol. 366, Issue 6472 https://doi.org/10.1126/science.aax9167	journal	December 2019
Investigation of strain redistribution mechanism in α titanium by image-based crystal plasticity analysis Kawano, Yoshiki; Ohashi, Tetsuya; Mayama, Tsuyoshi The European Physical Journal B, Vol. 92, Issue 9 https://doi.org/10.1140/epjb/e2019-100238-3	journal	September 2019
Combined Effects of Texture and Grain Size Distribution on the Tensile Behavior of α-Titanium Richeton, Thiebaud; Wagner, Francis; Chen, Cai Materials, Vol. 11, Issue 7 https://doi.org/10.3390/ma11071088	journal	June 2018

Similar Records

Shock compression/release of magnesium single crystals along a low-symmetry orientation: Role of basal slip

Journal Article · Mon Sep 16 00:00:00 EDT 2019 · Journal of Applied Physics · OSTI ID:1781294

Renganathan, P.; Gupta, Y. M.

Deformation behavior of CP-titanium under strain path changes: Experiment and crystal plasticity modeling

Journal Article · Sun Oct 10 00:00:00 EDT 2021 · International Journal of Plasticity · OSTI ID:1781294

Wronski, M.; Kumar, Mariyappan Arul; McCabe, Rodney James; +2 more

Strength, deformation, and equation of state of tungsten carbide to 66 GPa

Journal Article · Thu Sep 09 00:00:00 EDT 2021 · Acta Materialia · OSTI ID:1781294

Brugman, B. L.; Lin, F.; Lv, M.; +4 more

Related Subjects

36 MATERIALS SCIENCE
Titanium
Diffraction
Slip system strength
Crystal plasticity

Title: Modeling slip system strength evolution in Ti-7Al informed by in-situ grain stress measurements

Citation Formats

References (38)

Cited By (11)

Similar Records

Related Subjects