Macroscale Plasticity Parameter of Metals and Alloys

L. B. Zuev; S. A. Barannikova; S. V. Kolosov

doi:10.17804/2410-9908.2024.3.064-072

L. B. Zuev, S. A. Barannikova, S. V. Kolosov

MACROSCALE PLASTICITY PARAMETER OF METALS AND ALLOYS

DOI: 10.17804/2410-9908.2024.3.064-072

It is shown that plastic flow in solids emerges in a localized manner at a macroscopic scale of ~10−2 m. Localized plastic flow zones form patterns of localized strain, which are the projection of the autowave processes of plastic flow, developing in the bulk of the material, onto the specimen surface under study. The speckle photography method was chosen as a source of information about the kinetics of plastic deformation. A common feature of localized plastic flow in solids is the elastic-plastic invariant of deformation, which combines the typical characteristics of localized plastic flow autowaves with those of elastic waves in a crystal lattice. The invariant ratio is defined for nearly forty various materials (BCC, FCC, and HCP metals and alloys, alkali-halide crystals, ceramics, and rocks) under active tension and compression in a temperature range of 143 to 420 K. The origin of the invariant and its relation to other physical characteristics of the crystal lattice, e.g. the Debye temperature, is discussed in physical terms. Besides, numerous corollaries of the elastoplastic invariant are derived, enabling one to describe adequately the regularities of plastic flow. This, in turn, makes it possible to consider the elastic-plastic invariant of deformation as the main equation of the currently developing autowave approach to the physical theory of plastic deformation.

Acknowledgement: This work was supported within the framework of the state assignment for the ISPMS SB RAS, project No. FWRW-2021-0011.

Keywords: plasticity, deformation, elasticity, defects, crystal lattice, autowaves, structure, metals

References:

Friedel, J. Dislocations, Pergamon Press, Oxford, 1964, 512 p.
Hull, D. and Bacon, D.J. Introduction in Dislocations, Elsevier, Oxford, 2011, 257 p. DOI: 10.1016/C2009-0-64358-0.
Seeger, A. and Frank, W. Structure formation by dissipative processes in crystals with high defect densities. Solid State Phenomena, 1988, 3–4, 125–138 DOI: 10.4028/www.scientific.net/SSP.3-4.125.
Haken, H. Information and Self-Organization, Springer, Berlin, 2006, 258 p. DOI: 10.1007/3-540-33023-2.
Nicolis, G. and Prigogine, I. Exploring Complexity: An Introduction, W.H. Freeman & Company, New York, 1989, 328 p.
Egorushkin, V.E. and Panin, V.E. Scale invariance of plastic deformation of the planar and crystal subsystems of solids under superplastic conditions. Physical Mesomechanics, 2017, 20 (1), 5–13. DOI: 10.1134/s1029959917010015.
Zuev, L.B. Autowave plasticity. Localization and collective modes. In: Proceedings of the First International Conference on Theoretical, Applied and Experimental Mechanics, Taylor & Francis Group, Cambridge, 2020, 318–321. DOI: 10.1007/978-3-319-91989-8_65.
Zuev, L.B. and Barannikova, S.A. Autowave physics of material plasticity. Crystals, 2019, 9 (458), 1–30. DOI: 10.3390/cryst9090458.
Zuev, L.B. and Barannikova, S.A. Quasi-particle approach to the autowave physics of metal plasticity. Metals, 2020, 10 (11), 1–15. DOI: 10.3390/met10111446.
Vildeman, V.E., Lomakin, E.V. and Tretiakova, T.V. Yield delay and space-time inhomogeneity of plastic deformation of carbon steel. Mechanics of Solids, 2015, 50 (4), 412–420. DOI: 10.3103/S002565441504007X.
Hähner, P. Theory of solitary plastic waves. Applied Physics A, 1994, A58 (1), 41–58. DOI: 10.1007/BF00331516.
Plekhov, О.А., Naimark, О.B., Saintier, N., and Palin-Luc, T. Elastic-plastic transition in iron: structure and thermodynamic features. Technical Physics, 2009, 54 (8), 1141–1146. DOI: 10.1134/S1063784209080088.
Reyne, B., Manach, P.-Y., and Moes, N., Macroscpoic consequences of Poibert–Luders and Portevin–Le Chatelier bands during tensile deformation in Al–Mg alloys. Materials Science and Engineering: A, 2019, 746 (8), 187–196. DOI: 10.1016/j.msea.2019.01.009.
Kobelev, N.P., Lebyodkin, M.A., and Lebedkina, T.A. Role of self-organization of dislocations in the onset and kinetics of macroscopic plastic instability. Metallurgical and Materials Transactions A, 2017, 48 (3), 965–974. DOI: 10.1007/s11661-016-3912-x.
Taupin, V., Chevy, J., and Fressengeas, C. Effects of grain-to-grain interactions on shear strain localization in Al–C–Li rolled sheets. International Journal of Solids and Structures, 2016, 99, 71–81. DOI: 10.1016/j.ijsolstr.2016.07.023.
Tretyakova, T. and Wildemann, V. Study of spatial-time inhomogeneity of inelastic deformation and failure in bodies with concentrators by using the digital image correlation and infrared analysis. Procedia Structural Integrity, 2017, 5, 318–324. DOI: 10.1016/j.prostr.2017.07.177.
Lebyodkin, M.A., Zhemchuzhnikova, D.A., Lebedkina, T.A., and Aifantis, E.C. Kinematics of formation and cessation of type B deformation bands during the Portevin–Le Chatelier effect in an AlMg alloy. Results in Physics, 2019, 12, 867–869. DOI: 10.1016/j.rinp.2018.12.067.
Shibkov, A.A., Gasanov, M.F., Zheltov, M.A., Zolotov, A.E., and Ivolgin, V.I. Intermittent plasticity associated with the spatio-temporal dynamics of deformation bands during creep tests in an AlMg polycrystal. International Journal of Plasticity, 2016, 86, 37–55. DOI: 10.1016/j.ijplas.2016.07.014.
Müller, A., Segel, C., Linderov, M., Vinogradov, A., Weidner, A., and Biermann, H. The Portevin–Le Châtelier effect in a metastable austenitic stainless steel. Metallurgical and Materials Transactions A, 2016, 47, 59–74. DOI: 10.1007/s11661-015-2953-x.
Efstathiou, C. and Sehitoglu, H. Strain hardening and heterogeneous deformation during twinning in Hadfield steel. Acta Materialia, 2010, 58 (5), 1479–1488. DOI: 10.1016/j.actamat.2009.10.054.
Hudson, D.J. Lectures on Elementary Statistics and Probability, 1963, CERN Report 63–29, CERN, Geneva, 1963.
Newnham, R.E., Properties of Materials Anisotropy, Symmetry, Structure, University Press, Oxford, 2004, 390 p. DOI: 10.1093/oso/9780198520757.001.0001.
Zuev, L.B., Barannikova, S.A., Kolosov, S.V., and Nikonova, A.V. Temperature dependence of autowave characteristics of localized plasticity. Physics of the Solid State, 2021, 63, 47–53. DOI: 10.1134/S1063783421010236.

Л. Б. Зуев, С. А. Баранникова, С. В. Колосов

МАКРОМАСШТАБНЫЙ ПАРАМЕТР ПЛАСТИЧНОСТИ МЕТАЛЛОВ И СПЛАВОВ

Показано, что пластическое течение в твердых телах возникает локализованно
на макроскопическом уровне ~10−2 м. Зоны локализованного пластического течения формируют картины локализованной деформации, представляющие собой проекцию автоволновых процессов пластического течения, развивающихся в объеме материала, на наблюдаемую поверхность образца. В качестве источника информации о кинетике пластической деформации выбран метод спекл-фотографии. Общей особенностью локализованного пластического течения в твердых телах является упругопластический инвариант деформации, сочетающий типичные характеристики автоволн локализованного пластического течения с характеристиками упругих волн в кристаллической решетке. Инвариант определен почти для сорока различных материалов (ОЦК-, ГЦК- и ГПУ-металлов и сплавов с решетками, щелочно-галоидных кристаллов, керамики и горных пород) в условиях активного растяжения и сжатия в интервале температур 143–420 К. С физической точки зрения обсуждается происхождение инварианта и его связь с другими физическими характеристиками кристаллической решетки, в частности с температурой Дебая. Выведены также многочисленные следствия упругопластического инварианта, позволяющие адекватно описывать закономерности пластического течения. Это, в свою очередь, позволяет рассматривать упругопластический инвариант деформирования как основное уравнение развивающегося в настоящее время автоволнового подхода к физической теории пластического деформирования.

Благодарность: Работа выполнена в рамках государственного задания ИФПМ СО РАН (проект № FWRW-2021-0011).

Ключевые слова: пластичность, деформация, упругость, дефекты, кристаллическая решетка, автоволны, структура, металлы

Библиография:

Friedel J. Dislocations. – Oxford : Pergamon Press, 1964. – 512 p.
Hull D., Bacon D. J. Introduction in Dislocations. – Oxford : Elsevier, 2011. – 257 p. – DOI: 10.1016/C2009-0-64358-0.
Seeger A., Frank W. Structure formation by dissipative processes in crystals with high defect densities // Solid State Phenomena. – 1988. – Vols. 3–4. – P. 125–138. – DOI: 10.4028/www.scientific.net/SSP.3-4.125.
Haken H. Information and Self-Organization. – Berlin : Springer, 2006. – 258 p. – DOI: 10.1007/3-540-33023-2.
Nicolis G., Prigogine I. Exploring Complexity: An Introduction. – New York : W. H. Freeman & Company, 1989. – 328 p.
Egorushkin V. E., Panin V. E. Scale invariance of plastic deformation of the planar and crystal subsystems of solids under superplastic conditions // Physical Mesomechanics. – 2017. – Vol. 20, No. 1. – P. 5–13. – DOI: 10.1134/s1029959917010015.
Zuev L. B. Autowave plasticity. Localization and collective modes // Proceedings of the First International Conference on Theoretical, Applied and Experimental Mechanics. – Cambridge : Taylor & Francis Group, 2020. – P. 318–321. – DOI: 10.1007/978-3-319-91989-8_65.
Zuev L. B., Barannikova S. A. Autowave physics of material plasticity // Crystals. – 2019. – Vol. 9, No. 458. – P. 1–30. – DOI: 10.3390/cryst9090458.
Zuev L. B., Barannikova S. A. Quasi-particle approach to the autowave physics of metal plasticity // Metals. – 2020. – Vol. 10 (11). – P. 1–15. – DOI: 10.3390/met10111446.
Vildeman V. E., Lomakin E. V., Tretiakova T. V. Yield delay and space-time inhomogeneity of plastic deformation of carbon steel // Mechanics of Solids. – 2015. – Vol. 50, No. 4. – P. 412–420. – DOI: 10.3103/S002565441504007X.
Hähner P. Theory of solitary plastic waves // Applied Physics A. – 1994. – Vol. A58, No. 1. – P. 41–58. – DOI: 10.1007/BF00331516.
Elastic-plastic transition in iron: structure and thermodynamic features / О. А. Plekhov, О. B. Naimark, N. Saintier, T. Palin-Luc // Technical Physics. – 2009. – Vol. 54. – P. 1141–1146. – DOI: 10.1134/S1063784209080088.
Reyne B., Manach P.-Y., Moes N. Macroscpoic consequences of Poibert–Luders and Portevin–Le Chatelier bands during tensile deformation in Al–Mg alloys // Materials Science and Engineering: A. – 2019. – Vol. 746. – P. 187–196. – DOI: 10.1016/j.msea.2019.01.009.
Kobelev N. P., Lebyodkin M. A., Lebedkina T. A. Role of self-organization of dislocations in the onset and kinetics of macroscopic plastic instability // Metallurgical and Materials Transactions A. – 2017. – Vol. 48, No. 3. – P. 965–974. – DOI: 10.1007/s11661-016-3912-x.
Taupin V., Chevy J., Fressengeas C. Effects of grain-to-grain interactions on shear strain localization in Al–Cu–Li rolled sheets // International Journal of Solids and Structures. – 2016. – Vol. 99. – P. 71–81. – DOI: 10.1016/j.ijsolstr.2016.07.023.
Tretyakova T., Wildemann V. Study of spatial-time inhomogeneity of inelastic deformation and failure in bodies with concentrators by using the digital image correlation and infrared analysis // Procedia Structural Integrity. – 2017. – Vol. 5. – P. 318–324. – DOI: 10.1016/j.prostr.2017.07.177.
Kinematics of formation and cessation of type B deformation bands during the Portevin–Le Chatelier effect in an AlMg alloy / M. A. Lebyodkin, D. A. Zhemchuzhnikova, T. A. Lebedkina, E. C. Aifantis // Results in Physics. – 2019. – Vol. 12. – P. 867–869. – DOI: https://doi.org/10.1016/j.rinp.2018.12.067.
Intermittent plasticity associated with the spatio-temporal dynamics of deformation bands during creep tests in an AlMg polycrystal / A. A. Shibkov, M. F. Gasanov, M. A. Zheltov, A. E. Zolotov, V. I. Ivolgin // International Journal of Plasticity. – 2016. – Vol. 86. – P. 37–55. – DOI: https://doi.org/10.1016/j.ijplas.2016.07.014.
The Portevin–Le Châtelier effect in a metastable austenitic stainless steel / A. Müller, C. Segel, M. Linderov, A. Vinogradov, A. Weidner, H. Biermann // Metallurgical and Materials Transactions A. – 2016. – Vol. 47. – P. 59–74. – DOI: 10.1007/s11661-015-2953-x.
Efstathiou C., Sehitoglu H. Strain hardening and heterogeneous deformation during twinning in Hadfield steel // Acta Materialia. – 2010. – Vol. 58, iss. 5. – P. 1479–1488. – DOI: 10.1016/j.actamat.2009.10.054.
Hudson D.J. Lectures on Elementary Statistics and Probability. – Geneva : CERN, 1963. – 101 p. – DOI: 10.5170/CERN-1963-029.
Newnham R. E. Properties of Materials: Anisotropy. Symmetry. Structure. – Oxford : University Press, 2004. – 390 p. – DOI: 10.1093/oso/9780198520757.001.0001.
Temperature dependence of autowave characteristics of localized plasticity / L. B. Zuev, S. A. Barannikova, S. V. Kolosov, A. V. Nikonova // Physics of the Solid State. – 2021. – Vol. 63. – P. 47–53. – DOI: 10.1134/S1063783421010236.

Библиографическая ссылка на статью

Zuev L. B., Barannikova S. A., Kolosov S. V. Macroscale Plasticity Parameter of Metals and Alloys // Diagnostics, Resource and Mechanics of materials and structures. - 2024. - Iss. 3. - P. 64-72. -
DOI: 10.17804/2410-9908.2024.3.064-072. -
URL: http://dream-journal.org/issues/content/article_442.html
(accessed: 21.12.2024).