Geometric compatibility measure m' for twin transmission: A predictor or descriptor?

Kumar, Mariyappan Arul; McCabe, Rodney James; Tomé, Carlos; Capolungo, Laurent

doi:10.1016/j.mtcomm.2022.104634

Geometric compatibility measure m' for twin transmission: A predictor or descriptor?

Journal Article · Sat Oct 08 00:00:00 EDT 2022 · Materials Today Communications

DOI:https://doi.org/10.1016/j.mtcomm.2022.104634· OSTI ID:1897441

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Los Alamos National Lab. (LANL), Los Alamos, NM (United States)

In this work, the geometric compatibility factor m' is critically analyzed to assess whether it can be used to interpret/predict twin transmission (TT) across grain boundaries (GBs). This geometric measure is widely used to relate the likelihood of TT to the misalignment of both the shear and plane-normal directions within a twin set (i.e., incoming and outgoing twin). Here, using a large set of electron back scattering diffraction (EBSD) data, a detailed statistical analysis of twin-GB interactions is performed for {$${1\bar{01}}2$$} tensile twins in hexagonal close-packed (HCP) metals Mg, Zr, and Ti at different strain levels. In addition, a full-field crystal plasticity model is employed to quantify the role of local stresses and the applicability of m' as a criterion for the TT process. This combined study addresses the following three main questions: (i) What is the fidelity of m' in describing experimentally observed TTs? (ii) Can m' be used as a metric to predict/anticipate TT? (iii) Does m' naturally capture local stress effects? As a descriptor, m' cannot rationalize ~25% of TT events observed in Mg or more than 50% of TT events in Zr and Ti. As a predictor, the m'-measure does not predict TT events in over ~50% of twin-GB interactions analyzed. Further, the applicability of m' to describe and predict TT events decreases with an increase in elastic anisotropy, plastic anisotropy, and macroscopic strain levels. Finally, the twinning simulations reveal that m' does not capture the key effects of local stresses on variant selection upon twin transmission. The local stress induced by the twinning shear transformation plays a dominant role in driving the TT process compared to the geometric alignment of the constituting twins, i.e., m'.

View Accepted Manuscript (DOE)

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

Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES); USDOE National Nuclear Security Administration (NNSA)

Grant/Contract Number:: 89233218CNA000001

OSTI ID:: 1897441

Report Number(s):: LA-UR-22-26590

Journal Information:: Materials Today Communications, Journal Name: Materials Today Communications Vol. 33; ISSN 2352-4928

Publisher:: ElsevierCopyright Statement

Country of Publication:: United States

Language:: English

References (48)

The Stochastic Nature of Deformation Twinning: Application to HCP Materials Beyerlein, Irene J.; Arul Kumar, M. Handbook of Materials Modeling https://doi.org/10.1007/978-3-319-42913-7_103-1	book	January 2018
AnIn Situ transmission electron microscope deformation study of the slip transfer mechanisms in metals Lee, T. C.; Robertson, I. M.; Birnbaum, H. K. Metallurgical Transactions A, Vol. 21, Issue 9 https://doi.org/10.1007/BF02646988	journal	September 1990
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
Twin Nucleation by Slip Transfer across Grain Boundaries in Commercial Purity Titanium Wang, L.; Yang, Y.; Eisenlohr, P. Metallurgical and Materials Transactions A, Vol. 41, Issue 2 https://doi.org/10.1007/s11661-009-0097-6	journal	November 2009
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
A Graph Theory-Based Automated Twin Recognition Technique for Electron Backscatter Diffraction Analysis Pradalier, Cédric; Juan, Pierre-Alexandre; McCabe, Rodney J. Integrating Materials and Manufacturing Innovation, Vol. 7, Issue 1 https://doi.org/10.1007/s40192-018-0106-y	journal	February 2018
Plastic deformation of zirconium single crystals Akhtar, A.; Teghtsoonian, A. Acta Metallurgica, Vol. 19, Issue 7 https://doi.org/10.1016/0001-6160(71)90019-8	journal	July 1971
Prediction of slip transfer mechanisms across grain boundaries Lee, T. C.; Robertson, I. M.; Birnbaum, H. K. Scripta Metallurgica, Vol. 23, Issue 5 https://doi.org/10.1016/0036-9748(89)90534-6	journal	May 1989
On the criteria for slip transmission across interfaces in polycrystals Clark, W. A. T.; Wagoner, R. H.; Shen, Z. Y. Scripta Metallurgica et Materialia, Vol. 26, Issue 2 https://doi.org/10.1016/0956-716X(92)90173-C	journal	January 1992
Dislocation study of prismatic slip systems and their interactions in hexagonal close packed metals: application to zirconium Monnet, G.; Devincre, B.; Kubin, L. P. Acta Materialia, Vol. 52, Issue 14 https://doi.org/10.1016/j.actamat.2004.05.048	journal	August 2004
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
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
Study of 3-D stress development in parent and twin pairs of a hexagonal close-packed polycrystal: Part I – in-situ three-dimensional synchrotron X-ray diffraction measurement Abdolvand, Hamidreza; Majkut, Marta; Oddershede, Jette Acta Materialia, Vol. 93 https://doi.org/10.1016/j.actamat.2015.04.020	journal	July 2015
Nucleation and propagation of { 1 0 1 ¯ 2 } twins in AZ31 magnesium alloy Khosravani, A.; Fullwood, D. T.; Adams, B. L. Acta Materialia, Vol. 100 https://doi.org/10.1016/j.actamat.2015.08.024	journal	November 2015
Assessment of residual stress fields at deformation twin tips and the surrounding environments Abdolvand, Hamidreza; Wilkinson, Angus J. Acta Materialia, Vol. 105 https://doi.org/10.1016/j.actamat.2015.11.036	journal	February 2016
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
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
Role of local stresses on co-zone twin-twin junction formation in HCP magnesium Arul Kumar, M.; Gong, M.; Beyerlein, I. J. Acta Materialia, Vol. 168 https://doi.org/10.1016/j.actamat.2019.02.037	journal	April 2019
Statistical analysis of twin/grain boundary interactions in pure rhenium Kacher, Josh; Sabisch, Julian E.; Minor, Andrew M. Acta Materialia, Vol. 173 https://doi.org/10.1016/j.actamat.2019.04.051	journal	July 2019
Formation and stability of long basal-prismatic facets in Mg Dang, Khanh; Wang, Shujuan; Gong, Mingyu Acta Materialia, Vol. 185 https://doi.org/10.1016/j.actamat.2019.11.070	journal	February 2020
Revealing the effect of local stresses on twin growth mechanisms in titanium using synchrotron X-ray diffraction McCabe, R. J.; Kumar, M. Arul; Liu, W. Acta Materialia, Vol. 221 https://doi.org/10.1016/j.actamat.2021.117359	journal	December 2021
Grain boundaries and interfaces in slip transfer Bieler, T. R.; Eisenlohr, P.; Zhang, C. Current Opinion in Solid State and Materials Science, Vol. 18, Issue 4 https://doi.org/10.1016/j.cossms.2014.05.003	journal	August 2014
Plastic anisotropy and the role of non-basal slip in magnesium alloy AZ31B Agnew, Sean R.; Duygulu, Özgür International Journal of Plasticity, Vol. 21, Issue 6 https://doi.org/10.1016/j.ijplas.2004.05.018	journal	June 2005
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
Modeling of trans-grain twin transmission in AZ31 via a neighborhood-based viscoplastic self-consistent model Chelladurai, Isaac; Adams, Devin; Fullwood, David T. International Journal of Plasticity, Vol. 117 https://doi.org/10.1016/j.ijplas.2018.03.012	journal	June 2019
Understanding common grain boundary twins in Mg alloys by a composite Schmid factor Xin, Renlong; Liu, Zhe; Sun, Yingjun International Journal of Plasticity, Vol. 123 https://doi.org/10.1016/j.ijplas.2019.07.018	journal	December 2019
Elastic anisotropy and yield surface estimates of polycrystals Brenner, R.; Lebensohn, R. A.; Castelnau, O. International Journal of Solids and Structures, Vol. 46, Issue 16 https://doi.org/10.1016/j.ijsolstr.2009.04.001	journal	August 2009
Crack opening due to deformation twin shear at grain boundaries in near-γ TiAl Simkin, B. A.; Ng, B. C.; Crimp, M. A. Intermetallics, Vol. 15, Issue 1 https://doi.org/10.1016/j.intermet.2006.03.005	journal	January 2007
Quasi in-situ investigation on the 112¯2 twin pair in cryogenic rolled Ti Huang, Zhaowen; Li, Yusheng Materials Characterization, Vol. 163 https://doi.org/10.1016/j.matchar.2020.110237	journal	May 2020
Statistical characterization of twin transmission across grain boundaries in magnesium Kumar, Mariyappan Arul; McCabe, Rodney J.; Taupin, Vincent Materials Characterization, Vol. 194 https://doi.org/10.1016/j.matchar.2022.112457	journal	December 2022
Geometrical compatibility factor analysis of paired extension twins in extruded Mg–3Al–1Zn alloys Xin, Renlong; Liang, Yingchun; Ding, Changhong Materials & Design, Vol. 86 https://doi.org/10.1016/j.matdes.2015.07.130	journal	December 2015
Quantitative prediction of grain boundary misorientation effect on twin transmission in hexagonal metals Song, Xiao; Luo, Jinru; Shi, Zhangzhi Materials & Design, Vol. 192 https://doi.org/10.1016/j.matdes.2020.108745	journal	July 2020
Crack initiation mechanism of extruded AZ31 magnesium alloy in the very high cycle fatigue regime Yang, F.; Yin, S. M.; Li, S. X. Materials Science and Engineering: A, Vol. 491, Issue 1-2 https://doi.org/10.1016/j.msea.2008.02.003	journal	September 2008
The role of twinning–detwinning on fatigue fracture morphology of Mg–3%Al–1%Zn alloy Yin, S. M.; Yang, F.; Yang, X. M. Materials Science and Engineering: A, Vol. 494, Issue 1-2 https://doi.org/10.1016/j.msea.2008.04.056	journal	October 2008
Understanding of variant selection and twin patterns in compressed Mg alloy sheets via combined analysis of Schmid factor and strain compatibility factor Guo, Changfa; Xin, Renlong; Ding, Changhong Materials Science and Engineering: A, Vol. 609 https://doi.org/10.1016/j.msea.2014.04.103	journal	July 2014
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
Deformation behavior of CP-titanium: Experiment and crystal plasticity modeling Wronski, M.; Arul Kumar, M.; Capolungo, L. Materials Science and Engineering: A, Vol. 724 https://doi.org/10.1016/j.msea.2018.03.017	journal	May 2018
Influence of plastic properties on the grain size effect on twinning in Ti and Mg Kumar, M. Arul; Beyerlein, Irene J. Materials Science and Engineering: A, Vol. 771 https://doi.org/10.1016/j.msea.2019.138644	journal	January 2020
The effects of free surfaces on deformation twinning in HCP metals Leu, B.; Arul Kumar, M.; Beyerlein, I. J. Materialia, Vol. 17 https://doi.org/10.1016/j.mtla.2021.101124	journal	June 2021
Atomistic and phase field simulations of three dimensional interactions of { 10 1 ¯ 2 } twins with grain boundaries in Mg: Twin transmission and dislocation emission Dang, Khanh; Graham, John; McCabe, Rodney J. Materialia, Vol. 20 https://doi.org/10.1016/j.mtla.2021.101247	journal	December 2021
Nucleation of paired twins at grain boundaries in titanium Wang, L.; Eisenlohr, P.; Yang, Y. Scripta Materialia, Vol. 63, Issue 8 https://doi.org/10.1016/j.scriptamat.2010.06.027	journal	October 2010
Grain neighbour effects on twin transmission in hexagonal close-packed materials Arul Kumar, M.; Beyerlein, I. J.; McCabe, R. J. Nature Communications, Vol. 7, Issue 1 https://doi.org/10.1038/ncomms13826	journal	December 2016
Deformation twinning and grain partitioning in a hexagonal close-packed magnesium alloy Arul Kumar, M.; Clausen, B.; Capolungo, L. Nature Communications, Vol. 9, Issue 1 https://doi.org/10.1038/s41467-018-07028-w	journal	November 2018
Characterizing the role of adjoining twins at grain boundaries in hexagonal close packed materials Arul Kumar, M.; Capolungo, L.; McCabe, R. J. Scientific Reports, Vol. 9, Issue 1 https://doi.org/10.1038/s41598-019-40615-5	journal	March 2019
Modeling the effect of neighboring grains on twin growth in HCP polycrystals Kumar, M. Arul; Beyerlein, I. J.; Lebensohn, R. A. Modelling and Simulation in Materials Science and Engineering, Vol. 25, Issue 6 https://doi.org/10.1088/1361-651X/aa7bbb	journal	August 2017
Growth Twins and Deformation Twins in Metals Beyerlein, Irene J.; Zhang, Xinghang; Misra, Amit Annual Review of Materials Research, Vol. 44, Issue 1 https://doi.org/10.1146/annurev-matsci-070813-113304	journal	July 2014
The crystallography and deformation modes of hexagonal close-packed metals Partridge, P. G. International Materials Reviews, Vol. 12, Issue 1 https://doi.org/10.1179/imr.1967.12.1.169	journal	January 1967
Local microstructure and micromechanical stress evolution during deformation twinning in hexagonal polycrystals Kumar, Mariyappan Arul; Beyerlein, Irene J. Journal of Materials Research, Vol. 35, Issue 3 https://doi.org/10.1557/jmr.2020.14	journal	February 2020

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