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Licensed Unlicensed Requires Authentication Published by De Gruyter June 11, 2013

Andrade creep revisited

  • François Louchet and Paul Duval

Abstract

Transient creep of many materials at high temperatures obeys Andrade's law, in which creep strain is proportional to the cube root of time. The present paper aims at revisiting in terms of criticality the different explanations proposed so far. In agreement with Mott's statistical theory, and using the concept of load shedding and mechanical cascades introduced in Cottrell's microscopic model, we show that Andrade creep is obtained assuming only long range back stresses and delayed obstacle overcoming, both of them involving a large number of interacting sites responsible for stress fluctuations. The time exponent is 1/3 if work hardening is linear, and larger otherwise. Andrade's creep appears as a power law approach of the linear (or χ) creep regime.


* Correspondence address, Prof. Emeritus Francois Louchet Laboratoire de Glaciologie et de Géophysique de l'Environnement, CNRS/UJFSt. Martin d'Hères, France Tel.: +33 0 476 824 252/ +33 0 682 124 734 E-mail:

Dedicated to the late Prof. Charles Crussard (1916–2008)


References

[1] E.N.daC.Andrade: Proc. R. Soc. A84 (1910) 112.Search in Google Scholar

[2] E.N.daC.Andrade: Proc. R. Soc.90 (1914) 329342.Search in Google Scholar

[3] C.Crussard, PhD thesis, University of Paris, Series A, Nr. 4058, march 14th (1963) (a) Table III, (b) Table V, (c) p. 15.Search in Google Scholar

[4] P.Duval: Ann. Geophys.32 (1976) 335350.Search in Google Scholar

[5] D.K.Dysthe, Yu.Podladchikov, F.Renard, J.Feder, B.Jamtveit: Phys. Rev. Lett.89 (2002) 246102-1-4.10.1103/PhysRevLett.89.246102Search in Google Scholar

[6] N.F.Mott: Phil. Mag.44 (1953) 742765.10.1080/14786440708521052Search in Google Scholar

[7] J.Friedel: Dislocations, Pergamon, Oxford (1964).Search in Google Scholar

[8] P.Feltham: Phil. Mag.45 (1954) 912.10.1080/14786440108520415Search in Google Scholar

[9] E.W.Hart: Acta Metall.18 (1970) 599610.10.1016/0001-6160(70)90089-1Search in Google Scholar

[10] A.H.Cottrell: Phil. Mag. Letters73 (1996) 3537.10.1080/095008396181082Search in Google Scholar

[11] R.Becker: Phys. Z.26 (1925) 919925.Search in Google Scholar

[12] F.R.N.Nabarro: Phil. Mag. Lett.75 (1997) 227233.10.1080/095008397179651Search in Google Scholar

[13] N.F.Mott, F.R.N.Nabarro: Conference on the Strength of Solids, London Physical Society, London (1948) 119.Search in Google Scholar

[14] A.H.Cottrell: Phil. Mag. A74 (1996) 10411046.10.1080/01418619608242175Search in Google Scholar

[15] A.H.Cottrell: Phil. Mag. Letters75 (1997) 227233.10.1080/095008397179552Search in Google Scholar

[16] A.H.Cottrell: Phil. Mag. Letters75 (1997) 301307.10.1080/095008397179552Search in Google Scholar

[17] A.H.Cottrell: Phil. Mag. Letters82 (2002) 6570.10.1080/09500830110104297Search in Google Scholar

[18] A.H.Cottrell: Phil. Mag.86 (2006) 38113817.10.1080/14786430500380118Search in Google Scholar

[19] A.H.Cottrell: Phil. Mag. Letters84 (2004) 685689.10.1080/09500830500036146Search in Google Scholar

[20] E.Orowan: J. West. Scot. Iron and Steel Inst.54 (1946–47) 4553.10.1093/oxfordjournals.afraf.a093484Search in Google Scholar

[21] D.C.Chrzan, M.J.Mills: Phys. Rev. Letters69 (1992) 27952798.10.1103/PhysRevLett.69.2795Search in Google Scholar

[22] T.Richeton, P.Dobron, F.Chmelik, J.Weiss, F.Louchet: Mater. Sci. Eng. A424 (2006) 190195.10.1016/j.msea.2006.03.072Search in Google Scholar

[23] D.M.Dimiduk, C.Woodward, R.LeSar, M.D.Uchic: Science312 (2006) 11881190.10.1126/science.1123889Search in Google Scholar

[24] G.S.Daehn: Acta Mater.49 (2001) 20172026.10.1016/S1359-6454(01)00089-1Search in Google Scholar

[25] M-C.Miguel, A.Vespignani, M.Zaiser, S.Zapperi: Phys. Rev. Letters89 (2002) 165501-1-4.10.1103/PhysRevLett.89.165501Search in Google Scholar

[26] M.Zaiser, P.Moretti: J. Stat. Mech. (2005) P08004.10.1088/1742-5468/2005/08/P08004Search in Google Scholar

[27] M.Ashby, P.Duval: Cold Reg. Sci. Technol.11 (1985) 285300.10.1016/0165-232X(85)90052-7Search in Google Scholar

[28] O.Castelnau, P.Duval, M.Montagnat, R.Brenner: J. Geophys. Res. 113B11203 (2008) 114.Search in Google Scholar

[29] P.Bak, C.Tang, K.Wiesenfeld: Phys. Rev. A38 (1988) 364374.10.1103/PhysRevA.38.364Search in Google Scholar

Received: 2008-9-17
Accepted: 2009-7-21
Published Online: 2013-06-11
Published in Print: 2009-10-01

© 2009, Carl Hanser Verlag, München

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