Localized Plasticity Pattern at the Prefracture Stage: Origin and Development
Source abstract
Abstract
Abstract A pattern of macroscopic deformation bands with a characteristic size of ~10 mm was revealed experimentally in a uniaxially deformed sample at the prefracture stage prior to macroscopic necking. The bands moved at different velocities to the place of subsequent necking. The observed banding pattern in the deformed medium was described using two identified dynamic order parameters, which are the amplitudes of unstable plastic and elastic deformation modes. The change in the dynamic order parameters was described by a system of two coupled nonlinear parabolic equations. Analysis of solutions to the equations revealed the conditions for the formation and development of the found pattern at the prefracture stage.
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Research context
OpenAlex topics: Nonlinear Dynamics and Pattern Formation · Carbon Nanotubes in Composites · Force Microscopy Techniques and Applications
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
References (20)
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1. Zuev, L.B., Autowave Plasticity: Localization and Collective Modes, Boca Raton: CRC Press, 2022.
2. Argon, A., Strengthening Mechanisms in Crystal Plasticity, Oxford: University Press, 2008.10.1093/acprof:oso/9780198516002.001.0001 ↗
3. Malygin, G.A., Dislocation Self-Organization and Slip Localization in Crystals Undergoing Plastic Deformation, Phys. Solid State, 1995, vol. 37, no. 1, pp. 1–19.
4. Malygin, G.A., Processes of Self-Organization of Dislocations and Crystal Plasticity, Phys.-Usp., 1999, vol. 42, no. 9, pp. 887–916.10.1070/PU1999v042n09ABEH000563 ↗
5. Aifantis, E.C., Non-Linearity, Periodicity and Patterning in Plasticity and Fracture, Int. J. Non-Linear Mech., 1996, vol. 31, no. 6, pp. 797–809.10.1016/S0020-7462(96)00107-2 ↗
6. Levitas, V.I. and Javanbakht, M., Thermodynamically Consistent Phase Field Approach to Dislocation Evolution at Small and Large Strains, J. Mech. Phys. Solids, 2015, vol. 82, pp. 345–366. http://dx.doi.org/10.1016/j.jmps.2015.05.00910.1016/j.jmps.2015.05.009 ↗
7. Javanbakht, M. and Levitas, V.I., Phase Field Approach to Dislocation Evolution at Large Strains: Computational Aspects, Int. J. Solids Struct., 2016, vol. 82, pp. 95–110. https://doi.org/10.1016/j.ijsolstr.2015.10.02110.1016/j.ijsolstr.2015.10.021 ↗
8. Naimark, O.B., Collective Properties of Defect Ensembles and Some Nonlinear Problems of Plasticity and Fracture, Phys. Mesomech., 2003, vol. 6, no. 4, pp. 39–63.
9. Naimark, O.B., Some Regularities of Scaling in Plasticity, Failure and Turbulence, Phys. Mesomech., 2016, vol. 19, no. 3, pp. 307–318. https://doi.org/10.1134/S102995991603009710.1134/S1029959916030097 ↗
10. Romanova, V.A., Balokhonov, R.R., Shakhidzhanov, V.S., Vlasov, I.V., Moskvichev, E.N., and Nekhorosheva, O., Evolution of Mesoscopic Deformation-Induced Surface Roughness and Local Strains in Tensile Polycrystalline Aluminum, Phys. Mesomech., 2021, vol. 24, no. 5, pp. 570–577. https://doi.org/10.1134/S102995992105008810.1134/S1029959921050088 ↗
11. Emelianova, E.S., Romanova, V.A., Balokhonov, R.R., Pisarev, M., and Zinovieva, O.S., A Numerical Study of the Contribution of Different Slip Systems to the Deformation Response of Polycrystalline Titanium, Phys. Mesomech., 2021, vol. 24, no. 2, pp. 166–177. https://doi.org/10.1134/S102995992102006510.1134/S1029959921020065 ↗
12. Yakushev, V.V., Utkin, A.V., Zhukov, A.N., Garkushin, G.V., and Moskovskikh, D.O., Dynamic Yield Strength and Spall Strength of Polycrystalline Nickel Aluminide, Phys. Mesomech., 2022, vol. 25, no. 4, pp. 279–286. https://doi.org/10.1134/S102995992204001410.1134/S1029959922040014 ↗
13. Trusov, P.V., Shveykin, A.I., Kondratyev, N.S., and Yants, A.Yu., Multilevel Models in Physical Mesomechanics of Metals and Alloys: Results and Prospects, Phys. Mesomech., 2021, vol. 24, no. 4, pp. 391–417. https://doi.org/10.1134/S102995992104005610.1134/S1029959921040056 ↗
14. Cross, M.C. and Hohenberg, P.C., Pattern Formation Outside of Equilibrium, Rev. Mod. Phys., 1993, vol. 65, no. 3, pp. 851–1112.10.1103/RevModPhys.65.851 ↗
15. Hohenberg, P.C. and Krekhov, A.P., An Introduction to the Ginzburg–Landau Theory of Phase Transitions and Nonequilibrium Patterns, Phys. Rep., 2015, vol. 572, pp. 1–42. http://dx.doi.org/10.1016/j.physrep.2015.01.00110.1016/j.physrep.2015.01.001 ↗
16. Zuev, L.B. and Khon, Yu.A., Plastic Flow as Spatiotemporal Structure Formation. Part I. Qualitative and Quantitative Patterns, Phys. Mesomech., 2022, vol. 25, no. 2, pp. 103–110. https://doi.org/10.1134/S102995992202001110.1134/S1029959922020011 ↗
17. Khon, Yu.A. and Zuev, L.B., Plastic Flow as Spatiotemporal Structure Formation. Part II. Two-Level Description, Phys. Mesomech., 2022, vol. 25, no. 2, pp. 111–118. https://doi.org/10.1134/S102995992202002310.1134/S1029959922020023 ↗
18. Kozlov, E.V., Starenchenko, V.A., and Koneva, N.A., Evolution of a Dislocation Substructure and the Thermodynamics of Plastic Deformation of Metallic Materials, Metally, 1993, no. 5, pp. 152–161.
19. Kerner, B.S. and Osipov, V.V., Self-Organization in Active Distributed Media: Scenarios for the Spontaneous Formation and Evolution of Dissipative Structures, Phys.-Usp., 1990, vol. 33, no. 9, pp. 679–719.
20. Loskutov, A.Yu. and Mikhailov, A.S., Foundations of Synergetics II. Chaos and Noise, Berlin: Springer-Verlag, 1991.10.1007/978-3-642-97294-2 ↗