Abstract
The present paper examines two aspects of the problem of critical conditions of jerky flow in alloys, or the Portevin–Le Chatelier (PLC) effect. Recent development of dynamic strain aging (DSA) models proved their capacity to qualitatively reproduce complex non-monotonic behavior of the critical strain, providing that the parameters of theory are allowed to depend on strain. Experimental measurements of such strain dependences have been realized for the first time and used to revise the predictions of the critical strain and stress relaxation kinetics upon abrupt strain-rate changes. On the other hand, it is usually omitted from consideration that the PLC stress serrations can last very short time in comparison with the characteristic time of stress transients. The development of stress drops was studied with the aid of the acoustic emission (AE) technique. It is shown that such macroscopic instabilities are caused by clustering of AE events which otherwise occur all the time, including the periods of smooth plastic flow. The role of synchronization of dislocation avalanches in the development of abrupt stress serrations and its relationship with the predictions of the local DSA models is discussed.
Similar content being viewed by others
Notes
Preliminary results of this study were presented in proceedings.[26]
A more detailed analysis shows that some superposition amplifying A-values can sometimes be detected. Such analysis will be published elsewhere.
From the first view, the perfect synchronization could even produce a catastrophic process involving the whole sample. However, this process is stopped because of the fall in the applied stress due to the elastic reaction of the deformation machine when the plastic strain rate exceeds the imposed strain rate (see Eq. [6]).
References
A. Portevin and F. Le Chatelier: C. R. Acad. Sci. Paris, 1923, vol. 176, pp. 507-10.
J.M. Robinson: Int Mater. Rev., 1994, vol. 39, pp. 217-27.
Y. Yilmaz: Sci. Technol. Adv. Mater., 2011, vol. 12, p. 063001(16).
A. Van den Beukel: Phys. Stat. Sol. (a), 1975, vol. 30, pp. 197-206.
P. Penning: Acta metall., 1972, vol. 20, pp. 1169-75.
P.G. McCormick: Acta Metall., 1988, vol. 36, pp. 3061-67.
Y. Estrin and L.P. Kubin: J. Mech. Behavior Mater., 1990, vol. 2, pp. 255-92.
L.P. Kubin and Y. Estrin: Acta Metall. Mater., 1990, vol. 38, pp. 697-708.
R. Král and P. Lukáč: Mater. Sci. Eng. A, 1997, vol. 234-236, pp. 786-89.
G. Horvath, N.G. Chinh, J. Gubicza, and J. Lendvai: Mater. Sci. Eng. A, 2007, vol. 446, pp. 186-92.
P. Hähner: Mater. Sci. Eng. A, 1996, vol. 207, pp. 208–15, 216–23.
P. Hähner, A. Ziegenbein, E. Rizzi, and H. Neuhäuser: Phys. Rev. B, 2002, vol. 65, p. 134109(20).
J. Schlipf: Scr. Metall. Mater., 1994, vol. 31, pp. 909-14.
F. Springer, A. Nortmann, and Ch. Schwink: Phys. Stat. Sol. A, 1998, vol. 170, pp. 63-81.
R.C. Picu and D. Zhang: Acta Mater., 2004, vol. 52, pp. 161-71.
J. Balík: Mater. Sci. Eng. A, 2001, vol. 316, pp. 102-08.
T.A. Lebedkina and M.A. Lebyodkin: Acta Mater., 2008, vol. 56, pp. 5567-74.
Y. Brechet and Y. Estrin: Acta Metall. Mater., 1995, vol. 43, pp. 955-63.
T. Böhlke, G. Bondár, Y. Estrin, and M.A. Lebyodkin: Comp. Mater. Sci., 2008, vol. 44, 1076-88.
M. Mazière and H. Dierke: Comp. Mat. Sci., 2012, vol. 52, pp. 68-72.
C.P. Ling and P.G. McCormick: Acta Metall. Mater., 1990, vol. 38, pp. 2631-35.
C.P. Ling and P.G. McCormick: Acta Metall. Mater., 1993, vol. 41, pp. 3127-31.
R.B. Schwarz and L.L. Funk: Acta metall., 1985, vol. 33, pp. 295-307.
M.A. Lebyodkin and T.A. Lebedkina: Phys. Rev. E, 2006, vol. 73, pp. 036114(8).
H. Ait-Amokhtar, C. Fressengeas, and S. Boudrahem: Mater. Sci. and Eng. A, 2008, vol. 488, pp. 540-46.
T.A. Lebedkina, N.P. Kobelev, and M.A. Lebyodkin: Mater. Sci. Forum, 2014, vol. 783-786, pp. 198-203.
M.A. Lebyodkin, Y. Bréchet, Y. Estrin, and L.P. Kubin: Phys. Rev. Lett., 1995, vol. 74, pp. 4758-61.
P.G. McCormick and C.P. Ling: Acta Metall. Mater., 1995, vol. 43, pp. 1969-77.
S. Kok, A.J. Beaudoin, D.A. Tortorelli, and M. Lebyodkin: Model Sim. Mat. Sci. Eng., 2002, vol. 10, pp. 745-63.
E. Rizzi and P. Hähner: Inter. J. Plast., 2004, vol. 20, pp. 121-65.
G. Lasko, P. Hähner, and S. Schmauder: Model Sim. Mater. Sci. Eng., 2005, vol. 13, 645-56.
G. Ananthakrishna: Phys. Rep., 2007, vol. 440, pp. 113-239.
S. Varadhan, A.J. Beaudoin, and C. Fressengeas: J. Mech. Phys. Solids, 2009, vol. 57, pp. 1733-48.
M. Abbadi, P. Hähner, and A. Zeghloul: Mater. Sci. Eng. A, 2002, vol. 337, pp. 194-201.
D. Thevenet, M. Mliha-Touati, and A. Zeghloul: Mater. Sci. Eng. A, 1999, vol. 266, pp. 175-82.
M.A. Lebyodkin, N.P. Kobelev, Y. Bougherira, D. Entemeyer, C. Fressengeas, V.S. Gornakov, T.A. Lebedkina, and I.V. Shashkov: Acta Mater., 2012, vol. 60, pp. 3729-40.
J. Weiss, T. Richeton, F. Louchet, F. Chmelik, P. Dobron, D. Entemeyer, M. Lebyodkin, T. Lebedkina, C. Fressengeas, and R.J. McDonald: Phys. Rev. B, 2007, vol. 76, p. 224110(8).
M.A. Lebyodkin, N.P. Kobelev, Y. Bougherira, D. Entemeyer, C. Fressengeas, T.A. Lebedkina, and I.V. Shashkov: Acta Mater., 2012, vol. 60, pp. 844-50.
I.V. Shashkov, M.A. Lebyodkin, and T.A. Lebedkina, Acta Mater., 2012, vol. 60, pp. 6842-50.
R.C. Picu, G. Vincze, J.J. Gracio, and F. Barlat: Scripta Mater., 2006, vol. 54, pp. 71-75.
F. Ozturk, H. Pekel, and H.S. Halkaci: J. Mater. Eng. Perform., 2011, vol. 20, pp. 77-81.
D. Wowk and K. Pilkey: Mater. Sci. Eng. A, 2009, vol. 520, pp. 174-78.
M.A. Lebyodkin, I.V. Shashkov, T.A. Lebedkina, K. Mathis, P. Dobron, and F. Chmelik: Phys. Rev. E, 2013, vol. 88, p. 042402 (8).
H. Jiang Q. Zhang, X. Chen, Z. Chen, Z. Jiang, X. Wu, and J. Fan: Acta Mater., 2007, vol. 55, pp. 2219-28.
S. Fu, T. Cheng, Q. Zhang, Q. Hu, and P. Cao: Acta Mater., 2012, vol. 60, pp. 6650-56.
P. G. McCormick: Scripta metall., 1978, vol. 12, pp. 197-200.
C.J. Pérez, Á Corral, A. Díaz-Guilera, K. Christensen, and A. Arenas: Int. J. Mod. Phys. B, 1996, vol. 10, pp. 1111-51.
D.A. Zhemchuzhnikova, M.A. Lebyodkin, T.A. Lebedkina, and R.O. Kaibyshev: Mater. Sci. Eng. A, 2015, vol. 639, pp. 37-41.
Acknowledgments
This work was supported by the Region Lorraine (France) and the Center of Excellence “LabEx DAMAS” through the French State program “Investment in the future” (Grant ANR-11-LABX-0008-01 of the French National Research Agency).
Author information
Authors and Affiliations
Corresponding author
Additional information
Manuscript submitted July 24, 2016.
Rights and permissions
About this article
Cite this article
Kobelev, N.P., Lebyodkin, M.A. & Lebedkina, T.A. Role of Self-Organization of Dislocations in the Onset and Kinetics of Macroscopic Plastic Instability. Metall Mater Trans A 48, 965–974 (2017). https://doi.org/10.1007/s11661-016-3912-x
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11661-016-3912-x