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From single to collective dislocation glide instabilities: A hierarchy of scales, embracing the Neumann strain bursts

  • Haël Mughrabi EMAIL logo
Published/Copyright: February 14, 2022
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Abstract

Instabilities of dislocation glide in monotonic and in cyclic deformation, ranging in scale from ca. 10 nm to millimetres and from single dislocation to collective dislocation events, are reviewed briefly. Interest is focussed on collective dislocation instabilities, correlated in time and space, which manifest themselves in specific features of the macroscopic stress– strain behaviour. An outstanding example of such collective correlated dislocation behaviour, namely the Neumann strain bursts which occur in cyclically deformed single crystals, when the stress amplitude is increased slowly, is then considered in more detail. All glide instabilities discussed can be ranked in a hierarchy of scales, reflecting the transition from microscopic small-scale single dislocation events to mesoscopic and to macroscopic large-scale collective dislocation events. While most collective large-scale glide instabilities in cyclic deformation are confined to sites of cyclic strain localization, the Neumann strain bursts are singular in the sense that, once triggered, they propagate throughout the whole volume in a strictly correlated synchronized fashion.


Dedicated to Professor Dr. Peter Neumann on the occasion of his 65th birthday

Prof. i. R. Dr. Hael Mughrabi Institut für Werkstoffwissenschaften, LS I Universität Erlangen –Nürnberg, Martensstr. 5, D-91058 Germany Tel.: +49 9131 852 7482 Fax: +49 9131 852 7504

References

[1] A. Seeger, in: J.C. Fisher, W.G. Johnston, R. Thomson, T. Vreeland (Eds.), Dislocations and Mechanical Properties of Crystals, John Wiley, New York (1957) 243.Search in Google Scholar

[2] U. Essmann: Phys. Stat. Sol. 12 (1965) 707.10.1002/pssb.19650120218Search in Google Scholar

[3] J.W. Steeds: Proc. Roy. Soc. A 292 (1966) 343.10.1098/rspa.1966.0139Search in Google Scholar

[4] S. Mader: Z. Phys. 149 (1957) 73.10.1007/BF01325693Search in Google Scholar

[5] A. Seeger, J. Diehl, S. Mader, H. Rebstock: Phil. Mag. 2 (1957) 323.10.1080/14786435708243823Search in Google Scholar

[6] H. Mughrabi, in: A.S. Argon (Ed.), Constitutive Equations in Plasticity, The MIT Press, Cambridge, Massachusetts, and London, England (1975) 199.Search in Google Scholar

[7] U.F. Kocks: Phil. Mag. 13 (1966) 541.10.1080/14786436608212647Search in Google Scholar

[8] S.J. Basinski, Z.S. Basinski, A. Howie: Phil. Mag. 19 (1969) 899.10.1080/14786436908225856Search in Google Scholar

[9] P.J. Woods: Phil. Mag. 28 (1973) 155.10.1080/14786437308217440Search in Google Scholar

[10] J.C. Grosskreutz, H. Mughrabi, in: A.S. Argon (Ed.), Constitutive Equations in Plasticity, The MIT Press, Cambridge, Massachusetts, and London, England (1975) 251.Search in Google Scholar

[11] H. Mughrabi, F. Ackermann, K. Herz, in: J.T. Fong (Ed.), Fatigue Mechanisms, Proceedings of an ASTM-NBS-NSF Symposium, ASTM STP 675, American Society for Testing and Materials, Philadelphia (1979) 69.Search in Google Scholar

[12] K. Mecke, C. Blochwitz: Crystal Res. & Technol. 17 (1982) 743.10.1002/crat.2170170610Search in Google Scholar

[13] J. Bretschneider, C. Holste, B. Tippelt: Acta mater. 45 (1997) 3775.10.1016/S1359-6454(97)00030-XSearch in Google Scholar

[14] P. Neumann: Z. Metallkd. 59 (1968) 927.10.1515/ijmr-1968-591208Search in Google Scholar

[15] R. Neumann, P. Neumann: Scripta metall. 4 (1970) 645.10.1016/0036-9748(70)90164-XSearch in Google Scholar

[16] A.T. Winter, O.B. Pedersen, K.V. Rasmussen: Acta metall. 29 (1981) 735.10.1016/0001-6160(81)90117-6Search in Google Scholar

[17] S.R. Agnew, J.R. Weertman: Mater. Sci. Eng. A 244 (1998) 145.10.1016/S0921-5093(97)00689-8Search in Google Scholar

[18] A. Vinogradov, Y. Kaneko, K. Kitagawa, S. Hashimoto, R.Z. Valiev: Materials Science Forum 269–272 (1998) 987.10.4028/www.scientific.net/MSF.269-272.987Search in Google Scholar

[19] H. Mughrabi, in: T.C. Lowe, R.Z. Valiev (Eds.), Investigations and Applications of Severe Plastic Deformation, Kluwer Academic Publishers, Dordrecht/Boston/London (2000) 241.10.1007/978-94-011-4062-1_31Search in Google Scholar

[20] P. Neumann, in: A.S. Argon (Ed.), Constitutive Equations in Plasticity, The MIT Press, Cambridge, Massachusetts, and London, England (1975) 449.Search in Google Scholar

[21] G. Kralik, H. Mughrabi, in: Proceedings of Third International Conference on the Strength of Metals and Alloys (ICSMA 3), Vol. 1, Cambridge, England (1973) 410.Search in Google Scholar

[22] P. Neumann: Acta metall. 19 (1971) 1233.10.1016/0001-6160(71)90057-5Search in Google Scholar

[23] P.M. Hazzledine: Scripta metall. 5 (1971) 847.10.1016/0036-9748(71)90056-1Search in Google Scholar

Received: 2004-01-05
Accepted: 2004-02-16
Published Online: 2022-02-14

© 2004 Carl Hanser Verlag, München

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