Sullivan, T., Koslowski, M., Theil, Florian and Ortiz, M.. (2009) On the behavior of dissipative systems in contact with a heat bath : application to Andrade creep. Journal of the Mechanics and Physics of Solids, Vol.57 (No.7). pp. 1058-1077. ISSN 0022-5096

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Abstract

We develop a theory of statistical mechanics for dissipative systems governed by equations of evolution that assigns probabilities to individual trajectories of the system. The theory is made mathematically rigorous and leads to precise predictions regarding the behavior of dissipative systems at finite temperature. Such predictions include the effect of temperature on yield phenomena and rheological time exponents. The particular case of an ensemble of dislocations moving in a slip plane through a random array of obstacles is studied numerically in detail. The numerical results bear out the analytical predictions regarding the mean response of the system, which exhibits Andrade creep. (C) 2009 Elsevier Ltd. All rights reserved.

Item Type:	Journal Article
Subjects:	T Technology > TA Engineering (General). Civil engineering (General) T Technology > TJ Mechanical engineering and machinery Q Science > QC Physics
Divisions:	Faculty of Science > Mathematics
Journal or Publication Title:	Journal of the Mechanics and Physics of Solids
Publisher:	Pergamon-Elsevier Science Ltd.
ISSN:	0022-5096
Date:	July 2009
Volume:	Vol.57
Number:	No.7
Number of Pages:	20
Page Range:	pp. 1058-1077
Identification Number:	10.1016/j.jmps.2009.03.006
Status:	Peer Reviewed
Publication Status:	Published
Access rights to Published version:	Restricted or Subscription Access
URI:	http://wrap.warwick.ac.uk/id/eprint/27684

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