Deformation behavior of CP-titanium under strain path changes: Experiment and crystal plasticity modeling
Abstract
The deformation behavior of commercially pure rolled titanium subjected to strain path changes is studied using experiments and a crystal plasticity model. Four different loading combinations are performed at room temperature to study the activation of slip, twinning, de-twinning and double-twinning in hexagonal closed packed titanium. The strain paths considered are: rolling direction compression (RDC) followed by normal direction compression (NDC), RDC followed by transverse direction compression (TDC), NDC followed by RDC, and NDC followed by TDC. An EBSD-based analysis of the distribution of boundary misorientation angles before and after reload was developed to analyze the evolution of {$$10\bar{1}2$$} tensile and {$$11\bar{2}2$$} compression twins. This analysis supports the model results concerning the treatment of twin reorientation. A de-twinning and double-twinning model accounting for back stress effects, an important feature of strain path changes, is implemented within the framework of the visco-plastic self-consistent (VPSC) model along with a dislocation density (DD) based hardening scheme. In the model, plasticity is accommodated by prismatic $$\langle$$a$$\rangle$$, basal $$\langle$$a$$\rangle$$ and pyramidal $$\langle$$c+a$$\rangle$$ slip modes, and {$$10\bar{1}2$$} tensile and {$$11\bar{2}2$$} compression twinning modes. The VPSC model predicts the evolution of twinning, de-twinning and double-twinning processes for both tensile and compression twinning modes under strain path change. The model predicts macroscopic stress-strain response, texture evolution, and twin volume fraction that are in agreement with experimental observations. The evolution of texture is investigated in detail by separately analyzing the twinned domains, rather than the evolution of the global texture.
- Authors:
-
[2];
[2];
[2]
- AGH - Univ. of Science and Technology, Krakow (Poland)
- Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
- Publication Date:
- Research Org.:
- Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC). Office of Basic Energy Sciences (BES) (SC-32); Polish National Science Centre (NCN)
- OSTI Identifier:
- 1835809
- Report Number(s):
- LA-UR-21-30280
Journal ID: ISSN 0749-6419
- Grant/Contract Number:
- 89233218CNA000001; FWP-06SCPE401; UMO-2015/19/D/ST8/00818
- Resource Type:
- Accepted Manuscript
- Journal Name:
- International Journal of Plasticity
- Additional Journal Information:
- Journal Volume: 148; Journal ID: ISSN 0749-6419
- Publisher:
- Elsevier
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 36 MATERIALS SCIENCE; Crystal plasticity; Strain path changes; Titanium; Dislocation density; Twinning; De-twinning; Double-twinning
Citation Formats
Wronski, M., Kumar, Mariyappan Arul, McCabe, Rodney James, Wierzbanowski, K., and Tome, Carlos N. Deformation behavior of CP-titanium under strain path changes: Experiment and crystal plasticity modeling. United States: N. p., 2021.
Web. doi:10.1016/j.ijplas.2021.103129.
Wronski, M., Kumar, Mariyappan Arul, McCabe, Rodney James, Wierzbanowski, K., & Tome, Carlos N. Deformation behavior of CP-titanium under strain path changes: Experiment and crystal plasticity modeling. United States. https://doi.org/10.1016/j.ijplas.2021.103129
Wronski, M., Kumar, Mariyappan Arul, McCabe, Rodney James, Wierzbanowski, K., and Tome, Carlos N. Sun .
"Deformation behavior of CP-titanium under strain path changes: Experiment and crystal plasticity modeling". United States. https://doi.org/10.1016/j.ijplas.2021.103129. https://www.osti.gov/servlets/purl/1835809.
@article{osti_1835809,
title = {Deformation behavior of CP-titanium under strain path changes: Experiment and crystal plasticity modeling},
author = {Wronski, M. and Kumar, Mariyappan Arul and McCabe, Rodney James and Wierzbanowski, K. and Tome, Carlos N.},
abstractNote = {The deformation behavior of commercially pure rolled titanium subjected to strain path changes is studied using experiments and a crystal plasticity model. Four different loading combinations are performed at room temperature to study the activation of slip, twinning, de-twinning and double-twinning in hexagonal closed packed titanium. The strain paths considered are: rolling direction compression (RDC) followed by normal direction compression (NDC), RDC followed by transverse direction compression (TDC), NDC followed by RDC, and NDC followed by TDC. An EBSD-based analysis of the distribution of boundary misorientation angles before and after reload was developed to analyze the evolution of {$10\bar{1}2$} tensile and {$11\bar{2}2$} compression twins. This analysis supports the model results concerning the treatment of twin reorientation. A de-twinning and double-twinning model accounting for back stress effects, an important feature of strain path changes, is implemented within the framework of the visco-plastic self-consistent (VPSC) model along with a dislocation density (DD) based hardening scheme. In the model, plasticity is accommodated by prismatic $\langle$a$\rangle$, basal $\langle$a$\rangle$ and pyramidal $\langle$c+a$\rangle$ slip modes, and {$10\bar{1}2$} tensile and {$11\bar{2}2$} compression twinning modes. The VPSC model predicts the evolution of twinning, de-twinning and double-twinning processes for both tensile and compression twinning modes under strain path change. The model predicts macroscopic stress-strain response, texture evolution, and twin volume fraction that are in agreement with experimental observations. The evolution of texture is investigated in detail by separately analyzing the twinned domains, rather than the evolution of the global texture.},
doi = {10.1016/j.ijplas.2021.103129},
journal = {International Journal of Plasticity},
number = ,
volume = 148,
place = {United States},
year = {Sun Oct 10 00:00:00 EDT 2021},
month = {Sun Oct 10 00:00:00 EDT 2021}
}
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Works referenced in this record:
Role of microstructure on twin nucleation and growth in HCP titanium: A statistical study
journal, April 2018
- Arul Kumar, M.; Wroński, M.; McCabe, R. J.
- Acta Materialia, Vol. 148
Mechanical behavior of Mg subjected to strain path changes: Experiments and modeling
journal, October 2015
- Wen, W.; Borodachenkova, M.; Tomé, C. N.
- International Journal of Plasticity, Vol. 73
Strain heterogeneity and damage nucleation at grain boundaries during monotonic deformation in commercial purity titanium
journal, December 2009
- Bieler, T. R.; Crimp, M. A.; Yang, Y.
- JOM, Vol. 61, Issue 12
Numerical study of the stress state of a deformation twin in magnesium
journal, February 2015
- Arul Kumar, M.; Kanjarla, A. K.; Niezgoda, S. R.
- Acta Materialia, Vol. 84
Multiscale modeling of twinning and detwinning behavior of HCP polycrystals
journal, April 2020
- Yaghoobi, Mohammadreza; Allison, John E.; Sundararaghavan, Veera
- International Journal of Plasticity, Vol. 127
Finite element analysis using an incremental elasto-visco-plastic self-consistent polycrystal model: FE simulations on Zr and low-carbon steel subjected to bending, stress-relaxation, and unloading.
journal, December 2021
- Jeong, Youngung; Jeon, Bohye; Tomé, Carlos N.
- International Journal of Plasticity, Vol. 147
A self-consistent viscoplastic model: prediction of rolling textures of anisotropic polycrystals
journal, February 1994
- Lebensohn, R. A.; Tomé, C. N.
- Materials Science and Engineering: A, Vol. 175, Issue 1-2
Stochastic modeling of twin nucleation in polycrystals: An application in hexagonal close-packed metals
journal, May 2014
- Niezgoda, Stephen R.; Kanjarla, Anand K.; Beyerlein, Irene J.
- International Journal of Plasticity, Vol. 56
Revealing the effect of local stresses on twin growth mechanisms in titanium using synchrotron X-ray diffraction
journal, December 2021
- McCabe, R. J.; Kumar, M. Arul; Liu, W.
- Acta Materialia, Vol. 221
Anisotropic deformation behavior under various strain paths in commercially pure titanium Grade 1 and Grade 2 sheets
journal, February 2016
- Yi, Ning; Hama, Takayuki; Kobuki, Akihiro
- Materials Science and Engineering: A, Vol. 655
Self-consistent modelling of the mechanical behaviour of viscoplastic polycrystals incorporating intragranular field fluctuations
journal, August 2007
- Lebensohn, R. A.; Tomé, C. N.; CastaÑeda, P. Ponte
- Philosophical Magazine, Vol. 87, Issue 28
Deformation twinning and grain partitioning in a hexagonal close-packed magnesium alloy
journal, November 2018
- Arul Kumar, M.; Clausen, B.; Capolungo, L.
- Nature Communications, Vol. 9, Issue 1
Variant selection criterion for twin variants in titanium alloys deformed by rolling
journal, May 2012
- Wang, S.; Schuman, C.; Bao, L.
- Acta Materialia, Vol. 60, Issue 9
In situ observations of detwinning and strain localization in pure titanium
journal, May 2021
- Guan, X. X.; Lu, L.; Luo, S. N.
- Materials Science and Engineering: A, Vol. 813
Effects of different types of twinning on microstructure and mechanical properties of a strongly textured TA2 commercially pure titanium alloy subjected to rolling at ambient and cryogenic temperatures
journal, February 2018
- Luo, Jin-ru; Song, Xiao; Wang, Mao-yin
- Journal of Iron and Steel Research International, Vol. 25, Issue 3
Assessment of residual stress fields at deformation twin tips and the surrounding environments
journal, February 2016
- Abdolvand, Hamidreza; Wilkinson, Angus J.
- Acta Materialia, Vol. 105
A crystal plasticity based work-hardening/softening model for b.c.c. metals under changing strain paths
journal, May 2000
- Peeters, B.; Kalidindi, S. R.; Van Houtte, P.
- Acta Materialia, Vol. 48, Issue 9
Work-hardening and twinning behaviors in a commercially pure titanium sheet under various loading paths
journal, January 2015
- Hama, Takayuki; Nagao, Hirotaka; Kobuki, Akihiro
- Materials Science and Engineering: A, Vol. 620
Twinning and detwinning behaviors of commercially pure titanium sheets
journal, October 2019
- Ma, Chao; Wang, Huamiao; Hama, Takayuki
- International Journal of Plasticity, Vol. 121
In Situ Characterization of Twin Nucleation in Pure Ti Using 3D-XRD
journal, November 2013
- Bieler, Thomas R.; Wang, Leyun; Beaudoin, Armand J.
- Metallurgical and Materials Transactions A, Vol. 45, Issue 1
Deformation of wrought uranium: Experiments and modeling
journal, September 2010
- McCabe, R. J.; Capolungo, L.; Marshall, P. E.
- Acta Materialia, Vol. 58, Issue 16
Mechanical response of zirconium—I. Derivation of a polycrystal constitutive law and finite element analysis
journal, September 2001
- Tomé, C.
- Acta Materialia, Vol. 49, Issue 15
Titanium alloy production technology, market prospects and industry development
journal, March 2011
- Cui, Chunxiang; Hu, BaoMin; Zhao, Lichen
- Materials & Design, Vol. 32, Issue 3
The role of double twinning on transgranular fracture in magnesium AZ61 in a localized stress field
journal, January 2016
- Niknejad, Seyedtirdad; Esmaeili, Shahrzad; Zhou, Norman Y.
- Acta Materialia, Vol. 102
Mechanical behavior of low carbon steel subjected to strain path changes: Experiments and modeling
journal, June 2016
- Wen, W.; Borodachenkova, M.; Tomé, C. N.
- Acta Materialia, Vol. 111
On the interaction between slip dislocations and twins in HCP Zr
journal, July 2009
- Capolungo, L.; Beyerlein, I. J.; Kaschner, G. C.
- Materials Science and Engineering: A, Vol. 513-514
Effect of local stress fields on twin characteristics in HCP metals
journal, September 2016
- Arul Kumar, M.; Beyerlein, I. J.; Tomé, C. N.
- Acta Materialia, Vol. 116
The role of deformation twinning in the fracture behavior and mechanism of basal textured magnesium alloys
journal, April 2014
- Ando, D.; Koike, J.; Sutou, Y.
- Materials Science and Engineering: A, Vol. 600
A non-local crystal plasticity constitutive model for hexagonal close-packed polycrystals
journal, January 2021
- Sedaghat, Omid; Abdolvand, Hamidreza
- International Journal of Plasticity, Vol. 136
Polycrystal plasticity modeling for load reversals in commercially pure titanium
journal, February 2020
- Wang, Jiaxiang; Zecevic, Milovan; Knezevic, Marko
- International Journal of Plasticity, Vol. 125
Twinning-induced negative strain rate sensitivity in wrought Mg alloy AZ31
journal, July 2011
- Chun, Y. B.; Davies, C. H. J.
- Materials Science and Engineering: A, Vol. 528, Issue 18
Explicit modeling of double twinning in AZ31 using crystal plasticity finite elements for predicting the mechanical fields for twin variant selection and fracture analyses
journal, September 2018
- Ardeljan, Milan; Knezevic, Marko
- Acta Materialia, Vol. 157
Secondary twin variant selection in four types of double twins in titanium
journal, June 2018
- Xu, Shun; Gong, Mingyu; Jiang, Yanyao
- Acta Materialia, Vol. 152
Twin formation from a twin boundary in Mg during in-situ nanomechanical testing
journal, June 2019
- Jiang, Lin; Kumar, M. Arul; Beyerlein, Irene J.
- Materials Science and Engineering: A, Vol. 759
Sensitivity of deformation twinning to grain size in titanium and magnesium
journal, December 2011
- Ghaderi, Alireza; Barnett, Matthew R.
- Acta Materialia, Vol. 59, Issue 20
Sequential twinning stimulated by other twins in titanium
journal, June 2017
- Xu, Shun; Gong, Mingyu; Schuman, Christophe
- Acta Materialia, Vol. 132
Evolution of twinning systems and variants during sequential twinning in cryo-rolled titanium
journal, January 2019
- Huang, Z. W.; Jin, S. B.; Zhou, H.
- International Journal of Plasticity, Vol. 112
Numerical investigation of the influence of twinning/detwinning on fatigue crack initiation in AZ31 magnesium alloy
journal, April 2019
- Briffod, Fabien; Shiraiwa, Takayuki; Enoki, Manabu
- Materials Science and Engineering: A, Vol. 753
Role of twinning in the hardening response of zirconium during temperature reloads
journal, June 2006
- Kaschner, G. C.; Tomé, C. N.; Beyerlein, I. J.
- Acta Materialia, Vol. 54, Issue 11
A Graph Theory-Based Automated Twin Recognition Technique for Electron Backscatter Diffraction Analysis
journal, February 2018
- Pradalier, Cédric; Juan, Pierre-Alexandre; McCabe, Rodney J.
- Integrating Materials and Manufacturing Innovation, Vol. 7, Issue 1
Fatigue and ratcheting behaviors of CP-Ti at room temperature
journal, January 2014
- Peng, Jian; Zhou, Chang-Yu; Dai, Qiao
- Materials Science and Engineering: A, Vol. 590
Modeling texture, twinning and hardening evolution during deformation of hexagonal materials
journal, April 2007
- Proust, G.; Tomé, C. N.; Kaschner, G. C.
- Acta Materialia, Vol. 55, Issue 6
Deformation behavior of CP-titanium: Experiment and crystal plasticity modeling
journal, May 2018
- Wronski, M.; Arul Kumar, M.; Capolungo, L.
- Materials Science and Engineering: A, Vol. 724
Slip, twinning, and fracture in hexagonal close-packed metals
journal, March 1981
- Yoo, M. H.
- Metallurgical Transactions A, Vol. 12, Issue 3
Visco-plastic modeling of mechanical responses and texture evolution in extruded AZ31 magnesium alloy for various loading conditions
journal, May 2015
- Kabirian, Farhoud; Khan, Akhtar S.; Gnäupel-Herlod, Thomas
- International Journal of Plasticity, Vol. 68
Recent advances in the development of aerospace materials
journal, February 2018
- Zhang, Xuesong; Chen, Yongjun; Hu, Junling
- Progress in Aerospace Sciences, Vol. 97
A model for texture development dominated by deformation twinning: Application to zirconium alloys
journal, November 1991
- Tomé, C. N.; Lebensohn, R. A.; Kocks, U. F.
- Acta Metallurgica et Materialia, Vol. 39, Issue 11
Predicting dwell fatigue life in titanium alloys using modelling and experiment
journal, November 2020
- Xu, Yilun; Joseph, Sudha; Karamched, Phani
- Nature Communications, Vol. 11, Issue 1
Modeling the effect of twinning and detwinning during strain-path changes of magnesium alloy AZ31
journal, May 2009
- Proust, Gwénaëlle; Tomé, Carlos N.; Jain, Ashutosh
- International Journal of Plasticity, Vol. 25, Issue 5
A statistical analysis of the influence of microstructure and twin–twin junctions on twin nucleation and twin growth in Zr
journal, August 2015
- Juan, P. -A.; Pradalier, C.; Berbenni, S.
- Acta Materialia, Vol. 95
A self-consistent anisotropic approach for the simulation of plastic deformation and texture development of polycrystals: Application to zirconium alloys
journal, September 1993
- Lebensohn, R. A.; Tomé, C. N.
- Acta Metallurgica et Materialia, Vol. 41, Issue 9
Modeling the effect of neighboring grains on twin growth in HCP polycrystals
journal, August 2017
- Kumar, M. Arul; Beyerlein, I. J.; Lebensohn, R. A.
- Modelling and Simulation in Materials Science and Engineering, Vol. 25, Issue 6
A crystal plasticity model for hexagonal close packed (HCP) crystals including twinning and de-twinning mechanisms
journal, October 2013
- Wang, H.; Wu, P. D.; Wang, J.
- International Journal of Plasticity, Vol. 49