Physics of the Solid State
Volumes and Issues
Home » Physics of the Solid State » Year 2022, issue 11 » Article p. 1583
>>>
Nonlinear dynamics of an individual Portevin--Le Chatelier deformation bands
Russian version
DOI: 10.21883/PSS.2022.11.54178.429
Shibkov A. A.1, Zolotov A. E.1, Gasanov M. F.1, Denisov A. A.1, Koltsov R. Y.1, Kochegarov S. S.1
1Tambov State University, Tambov, Russia
Email: shibkovaleks@mail.ru
PDF
Based on high-speed studies of the dynamics of Portevin-Le Chatelier ambryo bands with a temporal resolution of up to 20 μs and a spatial resolution of up to 10 μm/px, their classification is proposed, which includes four types of bands depending on the nature of interaction with other bands and the sample surface (using the example of a polycrystalline aluminum-magnesium alloy). It has been found that all types of ambryo bands demonstrate nonlinear dynamics with a sharp acceleration of the band tip and the growth rate of its volume at the final stage before reaching the sample surface. A phenomenological model of the nonlinear growth of the ambryo band is proposed, which explains the exponential self-acceleration stage observed experimentally. The sharp absorption of acoustic noise at the stage of accelerated band growth is discussed. Keywords: nonlinear dynamics, Portevin-Le Chatelier effect, deformation ambryo bands, acoustic emission, dislocation mobility, aluminum-magnesium alloy.
  1. F. Savart. Ann. Chim. Phys. 65, 337 (1837)
  2. E.N. daCostaAndrade. Proc. Royal Soc. A 84, 1 (1910)
  3. A. Portevin, F. Le Chatelier, C.R. Acad. Sci. Paris 176, 507 (1923)
  4. K. Chihab, Y. Estrin, L.P. Kubin, J. Vergnol. Scripta Met. 21, 2, 203 (1987)
  5. A.A. Shibkov, A.E. Zolotov. Pis'ma v ZhETF 90, 5, 412 (2009) (in Russian)
  6. A.A. Shibkov, M.F. Gasanov, M.A. Zheltov, A.E. Zolotov, V.I. Ivolgin. Int. J.Plast. 86, 37 (2016)
  7. A.J. Yilmaz. Sci. Technol. Adv. Mater. 12, 6, 063001 (2011)
  8. L.S. Derevyagina, V.E. Panin, A.I. Gordienko. Phiz. mezomekh. 10, 4, 59 (2007) (in Russian)
  9. A.A. Shibkov, A.E. Zolotov, M.A. Zheltov, A.V. Shuklinov, A.A. Denisov. FTT 53, 10, 1873 (2011) (in Russian)
  10. A.A. Shibkov, M.A. Zheltov, A.E. Zolotov, A.A. Denisov. FTT 53, 10, 1879 (2011) (in Russian)
  11. A. Chatterjee, A. Sarkar, P. Barat, P. Mukherjee, N. Gayathri. Mater. Sci. Eng. A 508, 1, 156 (2009)
  12. F.B. Klose, A. Ziegenbein, F. Hagemann, H. Neuhauser, P. Hahner, M. Abbadi, A. Zeghloul. Mater. Sci. Eng. A 369, 1-2, 76 (2004)
  13. R. Shabadi, S. Kumar, H.J. Roven, E.S. Dwarakadasa. Mater. Sci. Eng. A 382, 1-2, 203 (2004)
  14. H. Louche, P. Vacher, R. Arrieux. Mater. Sci. Eng. A 404, 1-2, 188 (2005)
  15. H. Ait-Amokhtar, C. Fressengeas, S. Boudrahem. Mater. Sci. Eng. A 488, 1-2, 540 (2008)
  16. A.A. Shibkov, A.E. Zolotov, M.A. Zheltov, A.A. Denisov, M.F. Gasanov. ZhTF 84, 4, 40 (2014) (in Russian)
  17. W. Tong, H. Tao, N. Zhang, L.G. Hector Jr. Scripta Mater. 53, 87 (2005)
  18. G.F. Xiang, Q.C. Zhang, H.W. Liu, X.P. Wu, X.Y. Ju. Scripta Mater. 56, 721 (2007)
  19. M.M. Krishtal, A.K. Khrustalev, A.V. Volkov, S.A. Borodin. Dokl. Phys. 54, 5, 225 (2009)
  20. A.A. Shibkov, M.A. Zheltov, M.F. Gasanov, A.E. Zolotov. FTT 59, 12, 2363 (2017) (in Russian)
  21. A.A. Shibkov, M.A. Zheltov, M.F. Gasanov, A.E. Zolotov, A.A. Denisov, M.A. Lebyodkin. Mater. Sci. Eng. A 772, 138777 (2020)
  22. A.A. Shibkov, A.E. Zolotov. Kristallografiya 56, 1, 147 (2011) (in Russian)
  23. A.H. Cottrell. Trans. Met. Soc. AIME 38, 2, 192 (1958)
  24. J. Zdunek, T. Brynk, J. Mizera, Z. Pakiela, K.J. Kurzydlowski. Mater. Charact. 59, 1429 (2008)
  25. M.A. Lebyodkin, D.A. Zhemchuzhnikova, T.A. Lebedkina, E.C. Aifantis. Res.Phys. 12, 867 (2019)
  26. V.V. Gorbatenko, V.I. Danilov, L.B. Zuev. Technical Phys. 62, 3, 395 (2017)
  27. D. Yuzbekova, A. Mogucheva, Y. Borisova, R. Kaibyshev. J. Alloys. Compounds 868, 159135 (2021)
  28. R. Hill. Matematicheskaya teoriya plastichnosti. Gostechizdat, M. (1956). 408 s. (in Russian)
  29. H.M. Zbib, E.C. Aifantis. Scripta Met. 22, 8, 1331 (1988)
  30. V.I. Nikitenko. In: Nesovershenstva kristallicheskogo stroeniya I martensitnye prevrashcheniya. Nauka, M. (1972). S. 136 (in Russian)
  31. V.I. Al'shits, V.L. Indenbom. UFN 115, 1, 3 (1975) (in Russian)
  32. V.M. Pestrikov, E.M. Morozov. Mekhanika razrusheniya rvyordykh tel. Professiya,SPb (2002). 320 s. (in Russian)
  33. V.Z. Parton, E.M. Morozov. Mekhanika uprugoplasticheskogo razrusheniya: Osnovy mekhaniki razrusheniya. LKI, M. (2008). 352 s. (in Russian)
  34. L.P. Kubin, C. Fressengeas, G. Ananthakrishna. Dislocat. Solids 11, 101 (2002)
  35. H. Ait-Amokhtar, C. Fressengeas. Acta Materialia 58, 4, 1342 (2010)
  36. R. NogueiradeCodes, O.S. Hopperstad, O. Engler, O.-G. Lademo, J.D. Embury, A. Benallal. Metall. Mater. Trans. A 42, 11, 3358 (2011)
  37. Zh. Fridel'. Dislokatsii. Mir, M. (1976). 660 s. (in Russian)
  38. Tablitsy fizicheskikh velichin. Handbook / Eds. I.K. Kikoina. Atomizdat, M. (1976). 1008 s. (in Russian)
  39. A.A. Shibkov, A.E. Zolotov, M.A. Zheltov. FTT 52, 11, 2223 (2010) (in Russian)
  40. A.G. Beattie. Acoustic emission non-destructive testing of structures using source location techniques. Sandia National Laboratories, Albuquerque, NM (2013)
  41. V.S. Boyko, V.F. Kivshik, L.F. Krivenko. ZhETF 82, 2, 504 (1982) (in Russian)
  42. V.D. Natsik. Pis'ma v ZhETF 8, 3, 198 (1968) (in Russian)
  43. V.D. Natsik, K.A. Chishko. Akust. zhurn. 28, 3, 381 (1982) (in Russian).

Подсчитывается количество просмотров абстрактов ("html" на диаграммах) и полных версий статей ("pdf"). Просмотры с одинаковых IP-адресов засчитываются, если происходят с интервалом не менее 2-х часов.

Дата начала обработки статистических данных - 27 января 2016 г.

Publisher:

Ioffe Institute

Institute Officers:

Director: Sergei V. Ivanov

Contact us:

26 Polytekhnicheskaya, Saint Petersburg 194021, Russian Federation
Fax: +7 (812) 297 1017
Phone: +7 (812) 297 2245
E-mail: post@mail.ioffe.ru