Molecular dynamics simulation of deformation of austenite nanoparticles with a nanocrystalline structure
https://doi.org/10.17073/0368-0797-2026-4-403-411
Abstract
Molecular dynamics simulation was used to study the compressive deformation of austenite nanoparticles with a nanocrystalline structure at low temperatures. The authors studied the influence of nanoparticle size (from 2 to 20 nm) and crystalline grain size (from 2 to 8 nm) on their strength and on the value of compressive deformation at which maximum stress is achieved. The characteristics of plastic deformation in the case of nanoparticles with a nanocrystalline structure are highlighted. Uniaxial compression of the nanoparticle was simulated in the model by moving virtual planes on both sides of the particle with a constant velocity of 10 m/s at an initial temperature of 0 K. The study demonstrated that the nanoparticles strength decreases with decreasing average grain size. While the size of the nanocrystalline particles themselves decreases, as with single-crystal particles, their strength increases. The authors also found that with decreasing particle size, the value of deformation, at which maximum stress is achieved during nanoparticle compression, increases. A decrease in grain size leads to a decrease in strength, which is associated with the primary mechanism of plastic deformation of metal particles with a nanocrystalline structure: grain boundary sliding. During the first stage of deformation, the entire particle structure typically rotated until the maximum value of the stress vector projection onto the preferred shear plane was reached. In the case of a nanocrystalline structure, this was determined by the relative orientation of the grain boundaries. Grain boundaries, roughly aligned along the same plane, represented the preferred shear plane in this case.
About the Authors
I. V. ZoryaRussian Federation
Irina V. Zorya, Dr. Sci. (Phys.-Math.), Assist. Prof., Director of the Institute of Architecture and Civil Engineering
42 Kirova Str., Novokuznetsk, Kemerovo Region – Kuzbass 654007, Russian Federation
G. M. Poletaev
Russian Federation
Gennadii M. Poletaev, Dr. Sci. (Phys.-Math.), Prof., Leading Researcher
46 Lenina Ave., Barnaul, Altai Territory 656038, Russian Federation
R. Yu. Rakitin
Russian Federation
Roman Yu. Rakitin, Cand.. Sci. (Phys.-Math.), Assist. Prof., Vice-Rector for Digital Development
100 Komsomolskii Ave., Barnaul, Altai Territory 656038, Russian Federation
Yu. V. Bebikhov
Russian Federation
Yurii V. Bebikhov, Dr. Sci. (Phys.-Math.), Assist. Prof., Head of the Chair of Electric Power Engineering and Industrial Automation
5 Tikhonova Str., Mirny, Republic of Sakha (Yakutia) 678170, Russian Federation
A. S. Semenov
Russian Federation
Aleksandr S. Semenov, Dr. Sci. (Phys.-Math.), Director
5 Tikhonova Str., Mirny, Republic of Sakha (Yakutia) 678170, Russian Federation
References
1. Dekker Encyclopedia of Nanoscience and Nanotechnology. Schwarz J.A., Lyshevski S.E., Contescu C.I. eds. Boca Raton: CRC Press; 2014;4200.
2. Humbert C., Noblet T., Dalstein L., Busson B., Barbillon G. Sum-frequency generation spectroscopy of plasmonic nanomaterials: A review. Materials. 2019;12(5):836. https://doi.org/10.3390/ma12050836
3. Mantri Y., Jokerst J.V. Engineering plasmonic nanoparticles for enhanced photoacoustic imaging. ACS Nano. 2020;14(8): 9408‒9422. https://doi.org/10.1021/acsnano.0c05215
4. Kodama K., Nagai T., Kuwaki A., Jinnouchi R., Morimoto Y. Challenges in applying highly active Pt-based nanostructured catalysts for oxygen reduction reactions to fuel cell vehicles. Nature Nanotechnology. 2021;16(2):140–147. https://doi.org/10.1038/s41565-020-00824-w
5. Mitchell S., Qin R., Zheng N., Pérez-Ramírez J. Nanoscale engineering of catalytic materials for sustainable technologies. Nature Nanotechnology. 2021;16(2):129–139. https://doi.org/10.1038/s41565-020-00799-8
6. Jain T.K., Morales M.A., Sahoo S.K., Leslie-Pelecky D.L., Labhasetwar V. Iron oxide nanoparticles for sustained delivery of anticancer agents. Molecular Pharmaceutics. 2005;2(3):194–205. https://doi.org/10.1021/mp0500014
7. Shim S.-Y., Lim D.-K., Nam J.-M. Ultrasensitive optical biodiagnostic methods using metallic nanoparticles. Nanomedicine. 2008;3(2):215–232. https://doi.org/10.2217/17435889.3.2.215
8. Carlton C.E., Ferreira P.J. In situ TEM nanoindentation of nanoparticles. Micron. 2012;43(11):1134‒1139. https://doi.org/10.1016/j.micron.2012.03.002
9. Deneen J., Mook W.M., Minor A., Gerberich W.W., Carter C.B. In situ deformation of silicon nanospheres. Journal of Materials Science. 2006;41:4477‒4483. https://doi.org/10.1007/s10853-006-0085-9
10. Sharma A., Hickman J., Gazit N., Rabkin E., Mishin Y. Nickel nanoparticles set a new record of strength. Nature Communications. 2018;9(1):4102. https://doi.org/10.1038/s41467-018-06575-6
11. Guo D., Xie G., Luo J. Mechanical properties of nanoparticles: Basics and applications. Journal of Physics D: Applied Physics. 2014;47:013001. https://doi.org/10.1088/0022-3727/47/1/013001
12. Ramos M., Ortiz-Jordan L., Hurtado-Macias A., Flores S., Elizalde-Galindo J., Rocha C., Torres B., Zarei-Chaleshtori M., Chianelli R. Hardness and elastic modulus on six-fold symmetry gold nanoparticles. Materials. 2013;6(1):198‒205. https://doi.org/10.3390/ma6010198
13. Mordehai D., Lee S.-W., Backes B., Srolovitz D.J., Nix W.D., Rabkin E. Size effect in compression of single-crystal gold microparticles. Acta Materialia. 2011;59(13):5202‒5215. https://doi.org/10.1016/j.actamat.2011.04.057
14. Han W.-Z., Huang L., Ogata S., Kimizuka H., Yang Z.-C., Weinberger C., Li Q.-J., Liu B.-Y., Zhang X.-X., Li J., Ma E., Shan Z.-W. From “smaller is stronger” to “size-independent strength plateau”: Towards measuring the ideal strength of iron. Advanced Materials. 2015;27(22):3385‒3390. https://doi.org/10.1002/adma.201500377
15. Hong Y., Zhang N., Zaeem M.A. Metastable phase transformation and deformation twinning induced hardening-stiffening mechanism in compression of silicon nanoparticles. Acta Materialia. 2018;145:8‒18. https://doi.org/10.1016/j.actamat.2017.11.034
16. Amodeo J., Pizzagalli L. Modeling the mechanical properties of nanoparticles: a review. Comptes Rendus. Physique, Plasticity and Solid State Physics. 2021;22(S3):35‒66. https://doi.org/10.5802/crphys.70
17. Feruz Y., Mordehai D. Towards a universal size-dependent strength of face-centered cubic nanoparticles. Acta Materialia. 2016;103:433‒441. http://dx.doi.org/10.1016/j.actamat.2015.10.027
18. Poletaev G., Sannikov A., Gafner Y., Gafner S., Zorya I. Mechanical properties of crystalline and amorphous nickel nanoparticles: Molecular dynamics simulation. Journal of Nanoparticle Research. 2025;27:153. https://doi.org/10.1007/s11051-025-06354-7
19. Beaber A.R., Nowak J.D., Ugurlu O., Mook W.M., Girshick S.L, Ballarini R., Gerberich W.W. Smaller is tougher. Philosophical Magazine. 2011;91(7-9):1179‒1189. https://doi.org/10.1080/14786435.2010.487474
20. Sun J., He L., Lo Y.-C., Xu T., Bi H., Sun L., Zhang Z., Mao S.X., Li J. Liquid-like pseudoelasticity of sub-10-nm crystalline silver particles. Nature Materials. 2014;13: 1007‒1012. https://doi.org/10.1038/nmat4105
21. Issa I., Amodeo J., Réthoré J., Joly-Pottuz L., Esnouf C., Morthomas J., Perez M., Chevalier J., Masenelli-Varlot K. In situ investigation of MgO nanocube deformation at room temperature. Acta Materialia. 2015;86:295‒304. https://doi.org/10.1016/j.actamat.2014.12.001
22. Mook W.M., Nowak J.D., Perrey C.R., Carter C.B., Mukherjee R., Girshick S.L., McMurry P.H., Gerberich W.W. Compressive stress effects on nanoparticle modulus and fracture. Physical Review B. 2007;75:214112. https://doi.org/10.1103/PhysRevB.75.214112
23. Gerberich W.W., Stauffer D.D., Beaber A.R., Tymiak N.I. A brittleness transition in silicon due to scale. Journal of Materials Research. 2012;27(3):552‒561. https://doi.org/10.1557/jmr.2011.348
24. Liang S.-X., Zhang L.-C., Reichenberger S., Barcikowski S. Design and perspective of amorphous metal nanoparticles from laser synthesis and processing. Physical Chemistry Chemical Physics. 2021;23(19):11121‒11154. https://doi.org/10.1039/D1CP00701G
25. Sun J., Sinha S.K., Khammari A., Picher M., Terrones M., Banhart F. The amorphization of metal nanoparticles in graphitic shells under laser pulses. Carbon. 2020;161:495‒501. https://doi.org/10.1016/j.carbon.2020.01.067
26. He D.S., Huang Y., Myers B.D., Isheim D., Fan X., Xia G.-J., Deng Y., Xie L., Han S., Qiu Y., Wang Y.-G., Luan J., Jiao Z., Huang L., Dravid V.P., He J. Single-element amorphous palladium nanoparticles formed via phase separation. Nano Research. 2022;15:5575–5580. https://doi.org/10.1007/s12274-022-4173-1
27. Qian Y., Silva A., Yu E., Anderson C.L., Liu Y., Theis W., Ercius P., Xu T. Crystallization of nanoparticles induced by precipitation of trace polymeric additives. Nature Communications. 2021;12:2767. https://doi.org/10.1038/s41467-021-22950-2
28. Kumar K.S., Van Swygenhoven H., Suresh S. Mechanical behavior of nanocrystalline metals and alloys. Acta Materialia. 2003;51:5743–5774. https://doi.org/10.1016/j.actamat.2003.08.032
29. Meyers M.A., Mishra A., Benson D.J. Mechanical properties of nanocrystalline materials. Progress in Materials Science. 2006;51(4):427–556. https://doi.org/10.1016/j.pmatsci.2005.08.003
30. Zorya I.V., Poletaev G.M., Bebikhov Yu.V., Semenov A.S. Molecular dynamics study of the influence of carbon impurity on austenite nanoparticles crystallization during rapid cooling. Izvestiya. Ferrous Metallurgy. 2024;67(4):440‒448. https://doi.org/10.17073/0368-0797-2024-4-440-448
31. Lau T.T., Först C.J., Lin X., Gale J.D., Yip S., Van Vliet K.J. Many-body potential for point defect clusters in Fe–C alloys. Physical Review Letters. 2007;98:215501. https://doi.org/10.1103/PhysRevLett.98.215501
32. Oila A., Bull S.J. Atomistic simulation of Fe–C austenite. Computational Materials Science. 2009;45(2):235‒239. https://doi.org/10.1016/j.commatsci.2008.09.013
33. Poletaev G.M., Bebikhov Yu.V., Semenov A.S., Starostenkov M.D. Self-diffusion in melts of Ni–Al and Ti–Al systems: Molecular dynamics study. Letters on Materials. 2021;11(4):438–441. https://doi.org/10.22226/2410-3535-2021-4-438-441
34. Poletaev G.M., Gafner Y.Y., Gafner S.L. Molecular dynamics study of melting, crystallization and devitrification of nickel nanoparticles. Letters on Materials. 2023;13(4):298‒303.
35. Poletaev G.M., Starostenkov M.D. Mutual diffusion at the interface in a two-dimensional Ni-Al system. Technical Physics Letters. 2003;29(6):454‒455. https://doi.org/10.1134/1.1589555
36. Poletaev G.M., Novoselova D.V., Kaygorodova V.M. The causes of formation of the triple junctions of grain boundaries containing excess free volume in fcc metals at crystallization. Solid State Phenomena. 2016;247:3‒8. https://doi.org/10.4028/www.scientific.net/SSP.247.3
37. Bian J., Zhang H., Niu X., Wang G. Anisotropic deformation in the compressions of single crystalline copper nanoparticles. Crystals. 2018;8(3):116. https://doi.org/10.3390/cryst8030116
38. Bian J.J., Yang L., Niu X.R., Wang G.F. Orientation-dependent deformation mechanisms of bcc niobium nanoparticles. Philosophical Magazine. 2018;98(20):1848‒1864. https://doi.org/10.1080/14786435.2018.1459059
39. Goryaeva A.M., Fusco C., Bugnet M., Amodeo J. Influence of an amorphous surface layer on the mechanical properties of metallic nanoparticles under compression. Physical Review Materials. 2019;3:033606. https://doi.org/10.1103/PhysRevMaterials.3.033606
Review
For citations:
Zorya I.V., Poletaev G.M., Rakitin R.Yu., Bebikhov Yu.V., Semenov A.S. Molecular dynamics simulation of deformation of austenite nanoparticles with a nanocrystalline structure. Izvestiya. Ferrous Metallurgy. 2026;69(4):403-411. (In Russ.) https://doi.org/10.17073/0368-0797-2026-4-403-411
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