journal article·2022-06Open access

Virtual texture analysis to investigate the deformation mechanisms in metal microstructures at the atomic scale

Avanish Mishra, Marco J. Echeverria, Ke Ma, Shayani Parida, Ching Chen, Sergey Galitskiy, Avinash M. Dongare

Journal of Materials Science· Volume 57· Issue 23

Abstract

Understanding the deformation behavior of metallic materials at high strain rates requires the characterization of plasticity contributors, such as twins, phase transformed regions, and dislocations. However, predicting the contributions from phase transformation and twinning relies on a complete understanding of the selection of variants for various loading orientations and the evolution of their volume fractions. This manuscript presents a new virtual texture (VirTex) analysis approach to characterize phase transformation and twinning variants in deformed microstructures generated using molecular dynamics (MD) simulations. The VirTex method involves the construction of a rotation matrix to calculate the angle/axis pairs and misorientation angles for each atom in the microstructure. Any changes in the orientation angle from angle/axis pairs and/or structure types are analyzed to determine the nucleation and evolution of variants in the microstructure. The study uses shock deformed single-crystal Fe, Ta, and Cu to analyze the variant selections for phase transformation or twinning or both in BCC and FCC systems. In addition, the VirTex analysis is able to characterize the phase transformation and twinning variants in nanocrystalline Fe and Ta microstructures. Besides characterizing variants, orientation mapping also provides an accelerated and on-the-fly approach for quantifying twin fractions in MD microstructures.
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Research context

OpenAlex topics: Microstructure and mechanical properties · Microstructure and Mechanical Properties of Steels · Titanium Alloys Microstructure and Properties

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

References (77)

Show source-provided references
1. Murr LE, Esquivel EV (2004) Observations of common microstructural issues associated with dynamic deformation phenomena: twins, microbands, grain size effects, shear bands, and dynamic recrystallization. J Mater Sci 39:1153–1168. https://doi.org/10.1023/B:JMSC.0000013870.09241.c010.1023/B:JMSC.0000013870.09241.c0 ↗
2. Meyers MA, Andrade UR, Chokshi AH (1995) The effect of grain size on the high-strain, high-strain-rate behavior of copper. Metall and Mater Trans A 26:2881–2893. https://doi.org/10.1007/BF0266964610.1007/BF02669646 ↗
3. Wongwiwat K, Murr LE (1978) Effect of shock pressure, pulse duration, and grain size on shock-deformation twinning in molybdenum. Mater Sci Eng 35:273–285. https://doi.org/10.1016/0025-5416(78)90129-510.1016/0025-5416(78)90129-5 ↗
4. Murr LE, Meyers MA, Niou CS, Chen YJ, Pappu S, Kennedy C (1997) Shock-induced deformation twinning in tantalum. Acta Mater 45:157–175. https://doi.org/10.1016/S1359-6454(96)00145-010.1016/S1359-6454(96)00145-0 ↗
5. Barker LM, Hollenbach RE (1974) Shock wave study of the α ⇄ ε phase transition in iron. J Appl Phys 45:4872–4887. https://doi.org/10.1063/1.166314810.1063/1.1663148 ↗
6. Crowhurst JC, Reed BW, Armstrong MR et al (2014) The α→ϵ phase transition in iron at strain rates up to ∼109 s−1. J Appl Phys 115:113506. https://doi.org/10.1063/1.486867610.1063/1.4868676 ↗
7. Garkushin GV, Naumova NS, Atroshenko SA, Razorenov SV (2016) Influence of the reversible α–ε phase transition and preliminary shock compression on the spall strength of Armco iron. Tech Phys 61:84–90. https://doi.org/10.1134/s106378421601010210.1134/s1063784216010102 ↗
8. Beason MT, Mandal A, Jensen BJ (2020) Direct observation of the hcp-bcc phase transition and melting along the principal Hugoniot of Mg. Phys Rev B 101:024110. https://doi.org/10.1103/PhysRevB.101.02411010.1103/PhysRevB.101.024110 ↗
9. Jones DR, Morrow BM, Trujillo CP, GrayIII GT, Cerreta EK (2017) The α–ω phase transition in shock-loaded titanium. J Appl Phys 122:045902. https://doi.org/10.1063/1.498714610.1063/1.4987146 ↗
10. Milathianaki D, Boutet S, Williams GJ et al (2013) Femtosecond visualization of lattice dynamics in shock-compressed matter. Science 342:220–223. https://doi.org/10.1126/science.123956610.1126/science.1239566 ↗
11. Wehrenberg CE, McGonegle D, Bolme C et al (2017) In situ X-ray diffraction measurement of shock-wave-driven twinning and lattice dynamics. Nature 550:496–499. https://doi.org/10.1038/nature2406110.1038/nature24061 ↗
12. Turneaure SJ, Renganathan P, Winey JM, Gupta YM (2018) Twinning and dislocation evolution during shock compression and release of single crystals: real-time X-ray diffraction. Phys Rev Lett 120:265503. https://doi.org/10.1103/PhysRevLett.120.26550310.1103/PhysRevLett.120.265503 ↗
13. Loveridge-Smith A, Allen A, Belak J et al (2001) Anomalous elastic response of silicon to uniaxial shock compression on nanosecond time scales. Phys Rev Lett 86:2349–2352. https://doi.org/10.1103/PhysRevLett.86.234910.1103/PhysRevLett.86.2349 ↗
14. McGonegle D, Milathianaki D, Remington BA, Wark JS, Higginbotham A (2015) Simulations of in situ X-ray diffraction from uniaxially compressed highly textured polycrystalline targets. J Appl Phys. https://doi.org/10.1063/1.492727510.1063/1.4927275 ↗
15. Chen S, Li YX, Zhang NB et al (2019) Capture deformation twinning in mg during shock compression with ultrafast synchrotron X-ray diffraction. Phys Rev Lett 123:255501. https://doi.org/10.1103/PhysRevLett.123.25550110.1103/PhysRevLett.123.255501 ↗
16. Williams CL, Kale C, Turnage SA et al (2020) Real-time observation of twinning-detwinning in shock-compressed magnesium via time-resolved in situ synchrotron XRD experiments. Phys Rev Mater 4:83603. https://doi.org/10.1103/PhysRevMaterials.4.08360310.1103/PhysRevMaterials.4.083603 ↗
17. Morrow BM, Jones DR, Rigg PA, Gray GT, Cerreta EK (2018) In-situ experiments to capture the evolution of microstructure during phase transformation of titanium under dynamic loading. EPJ Web Conf 183:0302010.1051/epjconf/201818303020 ↗
18. Albertazzi B, Ozaki N, Zhakhovsky V et al (2017) Dynamic fracture of tantalum under extreme tensile stress. Sci Adv 3:e1602705. https://doi.org/10.1126/sciadv.160270510.1126/sciadv.1602705 ↗
19. Hwang H, Galtier E, Cynn H et al (2020) Subnanosecond phase transition dynamics in laser-shocked iron. Sci Adv. https://doi.org/10.1126/sciadv.aaz513210.1126/sciadv.aaz5132 ↗
20. Kalantar DH, Belak JF, Collins GW et al (2005) Direct observation of the $\ensuremath{\alpha}\mathrm{\text{\ensuremath{-}}}\ensuremath{\epsilon}$ transition in shock-compressed iron via nanosecond X-ray diffraction. Phys Rev Lett 95:075502. https://doi.org/10.1103/PhysRevLett.95.07550210.1103/PhysRevLett.95.075502 ↗
21. Burgers W (1934) On the process of transition of the cubic-body-centered modification into the hexagonal-close-packed modification of zirconium. Physica 1:561–58610.1016/S0031-8914(34)80244-3 ↗
22. Wang FM, Ingalls R (1998) Iron bcc-hcp transition: local structure from x-ray-absorption fine structure. Phys Rev B 57:5647–5654. https://doi.org/10.1103/PhysRevB.57.564710.1103/PhysRevB.57.5647 ↗
23. Takahashi T, Bassett WA (1964) High-pressure polymorph of iron. Science 145:483–486. https://doi.org/10.1126/science.145.3631.48310.1126/science.145.3631.483 ↗
24. Bassett W, Huang E (1987) Mechanism of the body-centered cubic—hexagonal close-packed phase transition in iron. Science 238:780–78310.1126/science.238.4828.780 ↗
25. Ishimatsu N, Miyashita D, Kawaguchi SI (2020) Strong variant selection observed in the α−ε martensitic transition of iron under quasihydrostatic compression along [111]α. Phys Rev B 102:054106. https://doi.org/10.1103/PhysRevB.102.05410610.1103/PhysRevB.102.054106 ↗
26. Mishra A, Lind J, Kumar M, Dongare AM (2021) Understanding the phase transformation mechanisms that affect the dynamic response of Fe-based microstructures at the atomic scales. J Appl Phys. https://doi.org/10.1063/5.006993510.1063/5.0069935 ↗
27. Smith RF, Eggert JH, Swift DC et al (2013) Time-dependence of the alpha to epsilon phase transformation in iron. J Appl Phys. https://doi.org/10.1063/1.483965510.1063/1.4839655 ↗
28. Liu H, Lin F, Liu P et al (2021) Variant selection of primary–secondary extension twin pairs in magnesium: an analytical calculation study. Acta Mater 219:11722110.1016/j.actamat.2021.117221 ↗
29. Dougherty LM, Gray Iii GT, Cerreta EK, McCabe RJ, Field RD, Bingert JF (2009) Rare twin linked to high-pressure phase transition in iron. Scripta Mater 60:772–775. https://doi.org/10.1016/j.scriptamat.2009.01.01410.1016/j.scriptamat.2009.01.014 ↗
30. Mackenchery K, Valisetty RR, Namburu RR, Stukowski A, Rajendran AM, Dongare AM (2016) Dislocation evolution and peak spall strengths in single crystal and nanocrystalline Cu. J Appl Phys 119:044301. https://doi.org/10.1063/1.493986710.1063/1.4939867 ↗
31. Agarwal G, Dongare AM (2018) Defect and damage evolution during spallation of single crystal Al: comparison between molecular dynamics and quasi-coarse-grained dynamics simulations. Comput Mater Sci 145:68–79. https://doi.org/10.1016/j.commatsci.2017.12.03210.1016/j.commatsci.2017.12.032 ↗
32. Germann TC, Holian BL, Lomdahl PS, Ravelo R (2000) Orientation dependence in molecular dynamics simulations of shocked single crystals. Phys Rev Lett 84:5351–5354. https://doi.org/10.1103/PhysRevLett.84.535110.1103/PhysRevLett.84.5351 ↗
33. Davila LP, Erhart P, Bringa EM et al (2005) Atomistic modeling of shock-induced void collapse in copper. Appl Phys Lett 86:16190210.1063/1.1906307 ↗
34. Wang K, Xiao S, Deng H, Zhu W, Hu W (2014) An atomic study on the shock-induced plasticity and phase transition for iron-based single crystals. Int J Plast 59:180–19810.1016/j.ijplas.2014.03.007 ↗
35. Echeverria MJ, Galitskiy S, Mishra A, Dingreville R, Dongare AM (2021) Understanding the plasticity contributions during laser-shock loading and spall failure of Cu microstructures at the atomic scales. Comp. Mater. Sci. 198:110668. https://doi.org/10.1016/j.commatsci.2021.11066810.1016/j.commatsci.2021.110668 ↗
36. Ma K, Chen J, Dongare AM (2021) Role of pre-existing dislocations on the shock compression and spall behavior in single-crystal copper at atomic scales. J. Appl. Phys. 129:175901. https://doi.org/10.1063/5.004080210.1063/5.0040802 ↗
37. Chen J, Hahn EN, Dongare AM, Fensin SJ (2019) Understanding and predicting damage and failure at grain boundaries in BCC Ta. J Appl Phys 126:165902. https://doi.org/10.1063/1.511183710.1063/1.5111837 ↗
38. Higginbotham A, Suggit MJ, Bringa EM et al (2013) Molecular dynamics simulations of shock-induced deformation twinning of a body-centered-cubic metal. Phys Rev B 88:104105. https://doi.org/10.1103/PhysRevB.88.10410510.1103/PhysRevB.88.104105 ↗
39. Gunkelmann N, Bringa EM, Tramontina DR et al (2014) Shock waves in polycrystalline iron: plasticity and phase transitions. Phys Rev B 89:140102. https://doi.org/10.1103/PhysRevB.89.14010210.1103/PhysRevB.89.140102 ↗
40. Lu CH, Hahn EN, Remington BA, Maddox BR, Bringa EM, Meyers MA (2015) Phase transformation in tantalum under extreme laser deformation. Sci Rep 5:15064. https://doi.org/10.1038/srep15064. https://www.nature.com/articles/srep15064#supplementary-information10.1038/srep15064 ↗
41. Hahn EN, Fensin SJ (2019) Influence of defects on the shock Hugoniot of tantalum. J Appl Phys 125:215902. https://doi.org/10.1063/1.509652610.1063/1.5096526 ↗
42. Zhang RF, Wang J, Beyerlein IJ, Germann TC (2011) Twinning in bcc metals under shock loading: a challenge to empirical potentials. Philos Mag Lett 91:731–740. https://doi.org/10.1080/09500839.2011.61534810.1080/09500839.2011.615348 ↗
43. Ravelo R, Germann TC, Guerrero O, An Q, Holian BL (2013) Shock-induced plasticity in tantalum single crystals: interatomic potentials and large-scale molecular-dynamics simulations. Phys Rev B. https://doi.org/10.1103/PhysRevB.88.13410110.1103/PhysRevB.88.134101 ↗
44. Hahn EN, Fensin SJ (2019) Influence of defects on the shock Hugoniot of tantalum. J Appl Phys 125:21590210.1063/1.5096526 ↗
45. Agarwal G, Dongare AM (2019) Deformation twinning in polycrystalline Mg microstructures at high strain rates at the atomic scales. Sci Rep 9:3550. https://doi.org/10.1038/s41598-019-39958-w10.1038/s41598-019-39958-w ↗
46. Agarwal G, Dongare AM (2016) Shock wave propagation and spall failure in single crystal Mg at atomic scales. J Appl Phys 119:145901. https://doi.org/10.1063/1.494494210.1063/1.4944942 ↗
47. Bolesta AV, Fomin VM (2017) Molecular dynamics simulation of shock-wave loading of copper and titanium. AIP Conf Proc 1893:020008. https://doi.org/10.1063/1.500744610.1063/1.5007446 ↗
48. Zong H, Ding X, Lookman T, Sun J (2016) Twin boundary activated α → ω phase transformation in titanium under shock compression. Acta Mater 115:1–9. https://doi.org/10.1016/j.actamat.2016.05.03710.1016/j.actamat.2016.05.037 ↗
49. Flanagan TJ, Vijayan S, Galitskiy S et al (2020) Shock-induced deformation twinning and softening in magnesium single crystals. Mater Des 194:10888410.1016/j.matdes.2020.108884 ↗
50. Wu Z, Francis M, Curtin W (2015) Magnesium interatomic potential for simulating plasticity and fracture phenomena. Model Simul Mater Sci Eng 23:01500410.1088/0965-0393/23/1/015004 ↗
51. Kelchner CL, Plimpton SJ, Hamilton JC (1998) Dislocation nucleation and defect structure during surface indentation. Phys Rev B 58:11085–11088. https://doi.org/10.1103/PhysRevB.58.1108510.1103/PhysRevB.58.11085 ↗
52. Stukowski A (2012) Structure identification methods for atomistic simulations of crystalline materials. Model Simul Mater Sci Eng. https://doi.org/10.1088/0965-0393/20/4/04502110.1088/0965-0393/20/4/045021 ↗
53. Honeycutt JD, Andersen HC (1987) Molecular dynamics study of melting and freezing of small Lennard-Jones clusters. J Phys Chem 91:4950–496310.1021/j100303a014 ↗
54. Tsuzuki H, Branicio PS, Rino JP (2007) Structural characterization of deformed crystals by analysis of common atomic neighborhood. Comput Phys Commun 177:518. https://doi.org/10.1016/j.cpc.2007.05.01810.1016/j.cpc.2007.05.018 ↗
55. Ackland G, Jones A (2006) Applications of local crystal structure measures in experiment and simulation. Phys Rev B 73:05410410.1103/PhysRevB.73.054104 ↗
56. Stukowski A (2014) Computational analysis methods in atomistic modeling of crystals. JOM 66:399. https://doi.org/10.1007/s11837-013-0827-510.1007/s11837-013-0827-5 ↗
57. Stukowski A, Bulatov VV, Arsenlis A (2012) Automated identification and indexing of dislocations in crystal interfaces. Model Simul Mater Sci Eng. https://doi.org/10.1088/0965-0393/20/8/08500710.1088/0965-0393/20/8/085007 ↗
58. Stukowski A, Albe K (2010) Extracting dislocations and non-dislocation crystal defects from atomistic simulation data. Model Simul Mater Sci Eng. https://doi.org/10.1088/0965-0393/18/8/08500110.1088/0965-0393/18/8/085001 ↗
59. Larsen PM, Schmidt S, Schiøtz J (2016) Robust structural identification via polyhedral template matching. Model Simul Mater Sci Eng. https://doi.org/10.1088/0965-0393/24/5/05500710.1088/0965-0393/24/5/055007 ↗
60. Jc E, Tang MX, Fan D, Wang L, Luo SN (2018) Deformation of metals under dynamic loading: characterization via atomic-scale orientation mapping. Comput Mater Sci 153:338–347. https://doi.org/10.1016/j.commatsci.2018.06.02010.1016/j.commatsci.2018.06.020 ↗
61. White TG, Tikku A, Alves Silva MF, Gregori G, Higginbotham A, Eakins DE (2017) Identifying deformation mechanisms in molecular dynamics simulations of laser shocked matter. J Comput Phys 350:16–24. https://doi.org/10.1016/j.jcp.2017.08.04010.1016/j.jcp.2017.08.040 ↗
62. Bartók AP, Kondor R, Csányi G (2013) On representing chemical environments. Phys Rev B 87:18411510.1103/PhysRevB.87.184115 ↗
63. Thompson AP, Swiler LP, Trott CR, Foiles SM, Tucker GJ (2015) Spectral neighbor analysis method for automated generation of quantum-accurate interatomic potentials. J Comput Phys 285:31610.1016/j.jcp.2014.12.018 ↗
64. Wood MA, Thompson AP (2018) Extending the accuracy of the SNAP interatomic potential form. J Chem Phys 148:24172110.1063/1.5017641 ↗
65. Behler J (2011) Atom-centered symmetry functions for constructing high-dimensional neural network potentials. J Chem Phys 134:07410610.1063/1.3553717 ↗
66. Huo H, Rupp M (2017) Unified representation for machine learning of molecules and crystals. arXiv preprint arXiv:1704.06439 13754
67. Lazar EA, Han J, Srolovitz DJ (2015) Topological framework for local structure analysis in condensed matter. Proc Natl Acad Sci 112:E576910.1073/pnas.1505788112 ↗
68. Drautz R (2019) Atomic cluster expansion for accurate and transferable interatomic potentials. Phys Rev B 99:014104. https://doi.org/10.1103/PhysRevB.99.01410410.1103/PhysRevB.99.014104 ↗
69. Stukowski A (2010) Visualization and analysis of atomistic simulation data with OVITO – the Open Visualization Tool. Modelling Simul. Mater. Sci. Eng. 18:01501210.1088/0965-0393/18/1/015012 ↗
70. Barton NR, Dawson PR (2001) A methodology for determining average lattice orientation and its application to the characterization of grain substructure. Metall Mater Trans A 32:1967–197510.1007/s11661-001-0009-x ↗
71. Plimpton S (1995) Fast parallel algorithms for short-range molecular dynamics. J Comput Phys 117:1–19. https://doi.org/10.1006/jcph.1995.103910.1006/jcph.1995.1039 ↗
72. Menache A (2011) Understanding motion capture for computer animation. Elsevier
73. Virtanen P, Gommers R, Oliphant TE et al (2020) SciPy 1.0: fundamental algorithms for scientific computing in Python. Nat Methods. https://doi.org/10.1038/s41592-019-0686-210.1038/s41592-019-0686-2 ↗
74. Gunkelmann N, Bringa EM, Kang K, Ackland GJ, Ruestes CJ, Urbassek HM (2012) Polycrystalline iron under compression: plasticity and phase transitions. Phys Rev B. https://doi.org/10.1103/PhysRevB.86.14411110.1103/PhysRevB.86.144111 ↗
75. Mishra A, Kunka C, Echeverria MJ, Dingreville R, Dongare AM (2021) Fingerprinting shock-induced deformations via diffraction. Sci Rep 11:110.1038/s41598-020-79139-8 ↗
76. de Rességuier T, Hallouin M (2008) Effects of the α−ε phase transition on wave propagation and spallation in laser shock-loaded iron. Phys Rev B 77:17410710.1103/PhysRevB.77.174107 ↗
77. Righi G, Ruestes CJ, Stan CV et al (2021) Towards the ultimate strength of iron: spalling through laser shock. Acta Materialia 11707210.1016/j.actamat.2021.117072 ↗