Coupled elasticity, plastic slip, and twinning in single crystal titanium loaded by split-Hopkinson pressure bar

Feng, B.; Bronkhorst, C. A.; Addessio, F. L.; Morrow, B. M.; Cerreta, E. K.; Lookman, T.; Lebensohn, R. A.; Low, T.

doi:10.1016/j.jmps.2018.06.018

Title: Coupled elasticity, plastic slip, and twinning in single crystal titanium loaded by split-Hopkinson pressure bar

Journal Article · 02 July 2018 · Journal of the Mechanics and Physics of Solids

DOI: https://doi.org/10.1016/j.jmps.2018.06.018 · OSTI ID:1459822

^[1];

^[1]; Low, T. ^[2]

Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
The Ohio State Univ., Columbus, OH (United States)

Here coupled elasticity, plastic slip, and twinning in high-purity single crystal titanium loaded by split-Hopkinson pressure bar (SHPB) are investigated, in the framework of large deformation and by utilizing the finite element method (FEM). A thermodynamically consistent system of equations for combined plastic slip and twinning is formulated. Novel kinematics is proposed to develop the driving forces for slip and twinning processes and to consider plastic slip in twins. Dislocation based crystal plasticity is proposed, with an emphasis on the interactions among all slip modes in multi-variant/multiphase heterogeneous materials. A mechanism for dislocation density evolution during twinning is proposed. The impact loading along the [0001] and [1$$0\bar{1}$$1] directions of single crystal high purity titanium is investigated. The evolution of stress-strain field, dislocation density, and volume fraction for each variant in the sample during the entire loading process are obtained and discussed in detail. Results in simulations show that for the [0001] specimen due to the existence of six symmetry primary twin variants with respect to the loading direction and fifteen different slip systems in each variant, the fields of stress and dislocation density are very homogenous in the sample. The simulation results are compared with experimental data for the [0001] and [1$$0\bar{1}$$1] specimens. The experimental results are explained and interpreted for both specimens, which include the pole figures, the stress-strain curves, and volume fraction of variants. The simulation results provide an important insight into mechanical responses of high-purity single crystal titanium under high rate loading, and this paper advances the mesoscale modeling and simulations in coupled plastic slip and twinning.

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Research Organization:: Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)

Sponsoring Organization:: USDOE National Nuclear Security Administration (NNSA); USDOE Laboratory Directed Research and Development (LDRD) Program

Grant/Contract Number:: AC52-06NA25396; 20150431ER

OSTI ID:: 1459822

Alternate ID(s):: OSTI ID: 1712835

Report Number(s):: LA-UR-17-30152

Journal Information:: Journal of the Mechanics and Physics of Solids, Vol. 119, Issue C; ISSN 0022-5096

Publisher:: ElsevierCopyright Statement

Country of Publication:: United States

Language:: English

References (77)

Multi-scale modeling and experimental study of twin inception and propagation in hexagonal close-packed materials using a crystal plasticity finite element approach—Part I: Average behavior Abdolvand, Hamidreza; Daymond, Mark R. Journal of the Mechanics and Physics of Solids, Vol. 61, Issue 3 https://doi.org/10.1016/j.jmps.2012.10.013	journal	March 2013
Incorporation of twinning into a crystal plasticity finite element model: Evolution of lattice strains and texture in Zircaloy-2 Abdolvand, Hamidreza; Daymond, Mark R.; Mareau, Charles International Journal of Plasticity, Vol. 27, Issue 11 https://doi.org/10.1016/j.ijplas.2011.04.005	journal	November 2011
On the deformation twinning of Mg AZ31B: A three-dimensional synchrotron X-ray diffraction experiment and crystal plasticity finite element model Abdolvand, Hamidreza; Majkut, Marta; Oddershede, Jette International Journal of Plasticity, Vol. 70 https://doi.org/10.1016/j.ijplas.2015.03.001	journal	July 2015
Study of 3-D stress development in parent and twin pairs of a hexagonal close-packed polycrystal: Part II – crystal plasticity finite element modeling Abdolvand, Hamidreza; Majkut, Marta; Oddershede, Jette Acta Materialia, Vol. 93 https://doi.org/10.1016/j.actamat.2015.04.025	journal	July 2015
Strong grain neighbour effects in polycrystals Abdolvand, Hamidreza; Wright, Jonathan; Wilkinson, Angus J. Nature Communications, Vol. 9, Issue 1 https://doi.org/10.1038/s41467-017-02213-9	journal	January 2018
A single-crystal model for the high-strain rate deformation of cyclotrimethylene trinitramine including phase transformations and plastic slip Addessio, F. L.; Luscher, D. J.; Cawkwell, M. J. Journal of Applied Physics, Vol. 121, Issue 18 https://doi.org/10.1063/1.4983009	journal	May 2017
A dislocation density-based crystal plasticity constitutive model for prismatic slip in α-titanium Alankar, Alankar; Eisenlohr, Philip; Raabe, Dierk Acta Materialia, Vol. 59, Issue 18 https://doi.org/10.1016/j.actamat.2011.07.053	journal	October 2011
Explicit incorporation of deformation twins into crystal plasticity finite element models Ardeljan, Milan; McCabe, Rodney J.; Beyerlein, Irene J. Computer Methods in Applied Mechanics and Engineering, Vol. 295 https://doi.org/10.1016/j.cma.2015.07.003	journal	October 2015
Effect of local stress fields on twin characteristics in HCP metals Arul Kumar, M.; Beyerlein, I. J.; Tomé, C. N. Acta Materialia, Vol. 116 https://doi.org/10.1016/j.actamat.2016.06.042	journal	September 2016
Crystal Plasticity Asaro, R. J. Journal of Applied Mechanics, Vol. 50, Issue 4b https://doi.org/10.1115/1.3167205	journal	December 1983
A dislocation-based constitutive law for pure Zr including temperature effects Beyerlein, I. J.; Tomé, C. N. International Journal of Plasticity, Vol. 24, Issue 5 https://doi.org/10.1016/j.ijplas.2007.07.017	journal	May 2008
Statistical analyses of deformation twinning in magnesium Beyerlein, I. J.; Capolungo, L.; Marshall, P. E. Philosophical Magazine, Vol. 90, Issue 16 https://doi.org/10.1080/14786431003630835	journal	May 2010
A probabilistic twin nucleation model for HCP polycrystalline metals Beyerlein, I. J.; Tomé, C. N. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 466, Issue 2121 https://doi.org/10.1098/rspa.2009.0661	journal	March 2010
Stochastic Processes of {1012} Deformation Twinning in Hexagonal Close-Packed Polycrystalline Zirconium and Magnesium Beyerlein, Irene J.; McCabe, R. J.; Tome, C. N. International Journal for Multiscale Computational Engineering, Vol. 9, Issue 4 https://doi.org/10.1615/IntJMultCompEng.v9.i4.80	journal	January 2011
Influence of Temperature upon the α→ω Transition in Titanium Bezruchko, G. S. SHOCK COMPRESSION OF CONDENSED MATTER - 2005: Proceedings of the Conference of the American Physical Society Topical Group on Shock Compression of Condensed Matter, AIP Conference Proceedings https://doi.org/10.1063/1.2263296	conference	January 2006
Polycrystalline plasticity and the evolution of crystallographic texture in FCC metals Bronkhorst, C. A.; Kalidindi, S. R.; Anand, L. Philosophical Transactions of the Royal Society of London. Series A: Physical and Engineering Sciences, Vol. 341, Issue 1662, p. 443-477 https://doi.org/10.1098/rsta.1992.0111	journal	December 1992
Modeling the microstructural evolution of metallic polycrystalline materials under localization conditions Bronkhorst, C. A.; Hansen, B. L.; Cerreta, E. K. Journal of the Mechanics and Physics of Solids, Vol. 55, Issue 11 https://doi.org/10.1016/j.jmps.2007.03.019	journal	November 2007
In Situ Characterization of Twin Nucleation in Pure Ti Using 3D-XRD Bieler, Thomas R.; Wang, Leyun; Beaudoin, Armand J. Metallurgical and Materials Transactions A, Vol. 45, Issue 1 https://doi.org/10.1007/s11661-013-2082-3	journal	November 2013
Nucleation and growth of twins in Zr: A statistical study Capolungo, L.; Marshall, P. E.; McCabe, R. J. Acta Materialia, Vol. 57, Issue 20 https://doi.org/10.1016/j.actamat.2009.08.030	journal	December 2009
The influence of phase and substructural evolution during dynamic loading on subsequent mechanical properties of zirconium Cerreta, E. K.; Escobedo, J. P.; Rigg, P. A. Acta Materialia, Vol. 61, Issue 20 https://doi.org/10.1016/j.actamat.2013.09.009	journal	December 2013
A crystal plasticity FE model for deformation with twin nucleation in magnesium alloys Cheng, Jiahao; Ghosh, Somnath International Journal of Plasticity, Vol. 67 https://doi.org/10.1016/j.ijplas.2014.10.005	journal	April 2015
Crystal plasticity finite element modeling of discrete twin evolution in polycrystalline magnesium Cheng, Jiahao; Ghosh, Somnath Journal of the Mechanics and Physics of Solids, Vol. 99 https://doi.org/10.1016/j.jmps.2016.12.008	journal	February 2017
Discrete twin evolution in Mg alloys using a novel crystal plasticity finite element model Cheng, Jiahao; Shen, Jinlei; Mishra, Raj K. Acta Materialia, Vol. 149 https://doi.org/10.1016/j.actamat.2018.02.032	journal	May 2018
Dislocation locking versus easy glide in titanium and zirconium Clouet, Emmanuel; Caillard, Daniel; Chaari, Nermine Nature Materials, Vol. 14, Issue 9 https://doi.org/10.1038/nmat4340	journal	July 2015
Constitutive modeling of L12 intermetallic crystals Cuitiño, A. M.; Ortiz, M. Materials Science and Engineering: A, Vol. 170, Issue 1-2 https://doi.org/10.1016/0921-5093(93)90374-N	journal	October 1993
Influence of texture and test velocity on the dynamic, high-strain, tensile behavior of zirconium Escobedo, J. P.; Cerreta, E. K.; Trujillo, C. P. Acta Materialia, Vol. 60, Issue 11 https://doi.org/10.1016/j.actamat.2012.05.001	journal	June 2012
Effects of gasket on coupled plastic flow and strain-induced phase transformations under high pressure and large torsion in a rotational diamond anvil cell Feng, Biao; Levitas, Valery I. Journal of Applied Physics, Vol. 119, Issue 1 https://doi.org/10.1063/1.4939488	journal	January 2016
Coupled elastoplasticity and plastic strain-induced phase transformation under high pressure and large strains: Formulation and application to BN sample compressed in a diamond anvil cell Feng, Biao; Levitas, Valery I. International Journal of Plasticity, Vol. 96 https://doi.org/10.1016/j.ijplas.2017.05.002	journal	September 2017
Large elastoplastic deformation of a sample under compression and torsion in a rotational diamond anvil cell under megabar pressures Feng, Biao; Levitas, Valery I. International Journal of Plasticity, Vol. 92 https://doi.org/10.1016/j.ijplas.2017.03.002	journal	May 2017
Plastic flows and strain-induced alpha to omega phase transformation in zirconium during compression in a diamond anvil cell: Finite element simulations Feng, Biao; Levitas, Valery I. Materials Science and Engineering: A, Vol. 680 https://doi.org/10.1016/j.msea.2016.10.082	journal	January 2017
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
Pulse shaping techniques for testing elastic-plastic materials with a split Hopkinson pressure bar Frew, D. J.; Forrestal, M. J.; Chen, W. Experimental Mechanics, Vol. 45, Issue 2 https://doi.org/10.1007/BF02428192	journal	April 2005
Hopkinson bar experimental technique: A critical review Gama, Bazle A.; Lopatnikov, Sergey L.; Gillespie, John W. Applied Mechanics Reviews, Vol. 57, Issue 4 https://doi.org/10.1115/1.1704626	journal	July 2004
Adaptive multi-time-domain subcycling for crystal plasticity FE modeling of discrete twin evolution Ghosh, Somnath; Cheng, Jiahao Computational Mechanics, Vol. 61, Issue 1-2 https://doi.org/10.1007/s00466-017-1421-4	journal	May 2017
〈a〉 Prismatic, 〈a〉 basal, and 〈c+a〉 slip strengths of commercially pure Zr by micro-cantilever tests Gong, Jicheng; Benjamin Britton, T.; Cuddihy, Mitchell A. Acta Materialia, Vol. 96 https://doi.org/10.1016/j.actamat.2015.06.020	journal	September 2015
Crystal-plasticity finite-element analysis of anisotropic deformation behavior in a commercially pure titanium Grade 1 sheet Hama, Takayuki; Kobuki, Akihiro; Takuda, Hirohiko International Journal of Plasticity, Vol. 91 https://doi.org/10.1016/j.ijplas.2016.12.005	journal	April 2017
Modeling the texture evolution of Cu/Nb layered composites during rolling Hansen, B. L.; Carpenter, J. S.; Sintay, S. D. International Journal of Plasticity, Vol. 49 https://doi.org/10.1016/j.ijplas.2013.03.001	journal	October 2013
A dislocation-based multi-rate single crystal plasticity model Hansen, B. L.; Beyerlein, I. J.; Bronkhorst, C. A. International Journal of Plasticity, Vol. 44 https://doi.org/10.1016/j.ijplas.2012.12.006	journal	May 2013
Interaction between phase transformations and dislocations at the nanoscale. Part 2: Phase field simulation examples Javanbakht, Mahdi; Levitas, Valery I. Journal of the Mechanics and Physics of Solids, Vol. 82 https://doi.org/10.1016/j.jmps.2015.05.006	journal	September 2015
The α–ω phase transition in shock-loaded titanium Jones, David R.; Morrow, Benjamin M.; Trujillo, Carl P. Journal of Applied Physics, Vol. 122, Issue 4 https://doi.org/10.1063/1.4987146	journal	July 2017
Crystallographic texture evolution in bulk deformation processing of FCC metals Kalidindi, S. R.; Bronkhorst, C. A.; Anand, L. Journal of the Mechanics and Physics of Solids, Vol. 40, Issue 3 https://doi.org/10.1016/0022-5096(92)80003-9	journal	January 1992
Incorporation of deformation twinning in crystal plasticity models Kalidindi, Surya R. Journal of the Mechanics and Physics of Solids, Vol. 46, Issue 2 https://doi.org/10.1016/S0022-5096(97)00051-3	journal	February 1998
Modeling anisotropic strain hardening and deformation textures in low stacking fault energy fcc metals R. Kalidindi, Surya International Journal of Plasticity, Vol. 17, Issue 6 https://doi.org/10.1016/S0749-6419(00)00071-1	journal	July 2001
Role of alloying elements on twin growth and twin transmission in magnesium alloys Arul Kumar, M.; Beyerlein, I. J.; Lebensohn, R. A. Materials Science and Engineering: A, Vol. 706 https://doi.org/10.1016/j.msea.2017.08.084	journal	October 2017
Numerical study of the stress state of a deformation twin in magnesium Arul Kumar, M.; Kanjarla, A. K.; Niezgoda, S. R. Acta Materialia, Vol. 84 https://doi.org/10.1016/j.actamat.2014.10.048	journal	February 2015
Thermomechanical theory of martensitic phase transformations in inelastic materials Levitas, Valery I. International Journal of Solids and Structures, Vol. 35, Issue 9-10 https://doi.org/10.1016/S0020-7683(97)00089-9	journal	March 1998
Interaction between phase transformations and dislocations at the nanoscale. Part 1. General phase field approach Levitas, Valery I.; Javanbakht, Mahdi Journal of the Mechanics and Physics of Solids, Vol. 82 https://doi.org/10.1016/j.jmps.2015.05.005	journal	September 2015
Phase field approach with anisotropic interface energy and interface stresses: Large strain formulation Levitas, Valery I.; Warren, James A. Journal of the Mechanics and Physics of Solids, Vol. 91 https://doi.org/10.1016/j.jmps.2016.02.029	journal	June 2016
Microstructural effects on damage evolution in shocked copper polycrystals Lieberman, Evan J.; Lebensohn, Ricardo A.; Menasche, David B. Acta Materialia, Vol. 116 https://doi.org/10.1016/j.actamat.2016.06.054	journal	September 2016
A dislocation density-based continuum model of the anisotropic shock response of single crystal α-cyclotrimethylene trinitramine Luscher, D. J.; Addessio, F. L.; Cawkwell, M. J. Journal of the Mechanics and Physics of Solids, Vol. 98 https://doi.org/10.1016/j.jmps.2016.09.005	journal	January 2017
A crystal plasticity study of heterophase interface character stability of Cu/Nb bicrystals Mayeur, J. R.; Beyerlein, I. J.; Bronkhorst, C. A. International Journal of Plasticity, Vol. 48 https://doi.org/10.1016/j.ijplas.2013.02.006	journal	September 2013
Shock-induced α-ω phase transition and mechanisms of spallation in shock loaded titanium alloys Mescheryakov, Yu. I. Shock compression of condensed matter, AIP Conference Proceedings https://doi.org/10.1063/1.1303511	conference	January 2000
Characterization and modeling of mechanical behavior of single crystal titanium deformed by split-Hopkinson pressure bar Morrow, B. M.; Lebensohn, R. A.; Trujillo, C. P. International Journal of Plasticity, Vol. 82 https://doi.org/10.1016/j.ijplas.2016.03.006	journal	July 2016
Shock and Microstructural Characterization of the $$\alpha$$ α – $$\omega$$ ω Phase Transition in Titanium Crystals Morrow, Benjamin M.; Rigg, Paulo A.; Jones, David R. Journal of Dynamic Behavior of Materials, Vol. 3, Issue 4 https://doi.org/10.1007/s40870-017-0129-z	journal	September 2017
A study of deformation twinning in a titanium alloy by X-ray diffraction contrast tomography Nervo, Laura; King, Andrew; Fitzner, Arnas Acta Materialia, Vol. 105 https://doi.org/10.1016/j.actamat.2015.12.032	journal	February 2016
Introducing Grain Boundary Influenced Stochastic Effects into Constitutive Models: Application to Twin Nucleation in Hexagonal Close-Packed Metals Niezgoda, Stephen R.; Beyerlein, Irene J.; Kanjarla, Anand K. JOM, Vol. 65, Issue 3 https://doi.org/10.1007/s11837-012-0550-7	journal	January 2013
Stochastic modeling of twin nucleation in polycrystals: An application in hexagonal close-packed metals Niezgoda, Stephen R.; Kanjarla, Anand K.; Beyerlein, Irene J. International Journal of Plasticity, Vol. 56 https://doi.org/10.1016/j.ijplas.2013.11.005	journal	May 2014
Influence of impurities on the α to ω phase transition in zirconium under dynamic loading conditions Rigg, P. A.; Greeff, C. W.; Knudson, M. D. Journal of Applied Physics, Vol. 106, Issue 12 https://doi.org/10.1063/1.3267325	journal	December 2009
Strain hardening of titanium: role of deformation twinning Salem, Ayman A.; Kalidindi, Surya R.; Doherty, Roger D. Acta Materialia, Vol. 51, Issue 14 https://doi.org/10.1016/S1359-6454(03)00239-8	journal	August 2003
Strain hardening due to deformation twinning in α-titanium: Constitutive relations and crystal-plasticity modeling Salem, A. A.; Kalidindi, S. R.; Semiatin, S. L. Acta Materialia, Vol. 53, Issue 12 https://doi.org/10.1016/j.actamat.2005.04.014	journal	July 2005
Microscopic and crystallographic aspects of retained omega phase in shock-loaded zirconium and its formation mechanism Song, S. G.; Gray, G. T. Philosophical Magazine A, Vol. 71, Issue 2 https://doi.org/10.1080/01418619508244356	journal	February 1995
Inelastic deformation of polycrystalline face centered cubic materials by slip and twinning Staroselsky, A.; Anand, L. Journal of the Mechanics and Physics of Solids, Vol. 46, Issue 4 https://doi.org/10.1016/S0022-5096(97)00071-9	journal	April 1998
New Mechanism for the α to ω Martensitic Transformation in Pure Titanium Trinkle, D. R.; Hennig, R. G.; Srinivasan, S. G. Physical Review Letters, Vol. 91, Issue 2 https://doi.org/10.1103/PhysRevLett.91.025701	journal	July 2003
Mechanical response of zirconium—I. Derivation of a polycrystal constitutive law and finite element analysis Tomé, C. Acta Materialia, Vol. 49, Issue 15 https://doi.org/10.1016/S1359-6454(01)00190-2	journal	September 2001
Modeling of slip, twinning and transformation induced plastic deformation for TWIP steel based on crystal plasticity Sun, C. Y.; Guo, N.; Fu, M. W. International Journal of Plasticity, Vol. 76 https://doi.org/10.1016/j.ijplas.2015.08.003	journal	January 2016
Prediction of earing in TWIP steel sheets based on coupled twinning crystal plasticity model Sun, Chaoyang; Wang, Bin; Politis, Denis J. The International Journal of Advanced Manufacturing Technology, Vol. 89, Issue 9-12 https://doi.org/10.1007/s00170-016-9291-z	journal	August 2016
Kinetics of phase transformations in Ti, Zr and Hf under static and dynamic pressures Vohra, Y. K. Journal of Nuclear Materials, Vol. 75, Issue 2 https://doi.org/10.1016/0022-3115(78)90010-7	journal	August 1978
A crystal plasticity model for hexagonal close packed (HCP) crystals including twinning and de-twinning mechanisms Wang, H.; Wu, P. D.; Wang, J. International Journal of Plasticity, Vol. 49 https://doi.org/10.1016/j.ijplas.2013.02.016	journal	October 2013
The use of titanium for medical applications in the USA Wang, Kathy Materials Science and Engineering: A, Vol. 213, Issue 1-2 https://doi.org/10.1016/0921-5093(96)10243-4	journal	August 1996
A crystal plasticity model for twinning- and transformation-induced plasticity Wong, Su Leen; Madivala, Manjunatha; Prahl, Ulrich Acta Materialia, Vol. 118 https://doi.org/10.1016/j.actamat.2016.07.032	journal	October 2016
Non-basal slip systems in HCP metals and alloys: source mechanisms Yoo, M. H.; Agnew, S. R.; Morris, J. R. Materials Science and Engineering: A, Vol. 319-321 https://doi.org/10.1016/S0921-5093(01)01027-9	journal	December 2001
Slip, twinning, and fracture in hexagonal close-packed metals Yoo, M. H. Metallurgical Transactions A, Vol. 12, Issue 3 https://doi.org/10.1007/BF02648537	journal	March 1981
Strong crystal size effect on deformation twinning Yu, Qian; Shan, Zhi-Wei; Li, Ju Nature, Vol. 463, Issue 7279 https://doi.org/10.1038/nature08692	journal	January 2010
An elasto-plastic self-consistent model with hardening based on dislocation density, twinning and de-twinning: Application to strain path changes in HCP metals Zecevic, Milovan; Knezevic, Marko; Beyerlein, Irene J. Materials Science and Engineering: A, Vol. 638 https://doi.org/10.1016/j.msea.2015.04.066	journal	June 2015
Deformation behaviour of commercially pure titanium during simple hot compression Zeng, Zhipeng; Zhang, Yanshu; Jonsson, Stefan Materials & Design, Vol. 30, Issue 8 https://doi.org/10.1016/j.matdes.2008.12.002	journal	September 2009
Stochastic size-dependent slip-twinning competition in hexagonal close packed single crystals Zhang, Jing; Ramesh, K. T.; Joshi, Shailendra P. Modelling and Simulation in Materials Science and Engineering, Vol. 22, Issue 7 https://doi.org/10.1088/0965-0393/22/7/075003	journal	September 2014
Anisotropic shock response of titanium: Reorientation and transformation mechanisms Zong, Hongxiang; Lookman, Turab; Ding, Xiangdong Acta Materialia, Vol. 65 https://doi.org/10.1016/j.actamat.2013.11.047	journal	February 2014

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