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On the behavior of dissipative systems in contact with a heat bath: Application to Andrade creep

Sullivan, T. and Koslowski, M. and Theil, F. 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, 57 (7). pp. 1058-1077. ISSN 0022-5096. http://resolver.caltech.edu/CaltechAUTHORS:20090904-125145240

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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.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1016/j.jmps.2009.03.006DOIUNSPECIFIED
Additional Information:Copyright © 2009 Elsevier. Received 26 November 2008; revised 16 March 2009; accepted 21 March 2009. Available online 1 April 2009. The support of the DoE through Caltech's PSAAP Center for the Predictive Modeling and Simulation of High-Energy Density Dynamic Response of Materials is gratefully acknowledged. TJS’ research is supported by the EPSRC and University of Warwick Research Development Fund.
Funders:
Funding AgencyGrant Number
Department of EnergyUNSPECIFIED
Engineering and Physical Sciences Research CouncilUNSPECIFIED
University of WarwickUNSPECIFIED
Subject Keywords:Statistical mechanics; Dissipative systems; Gradient flows; Effective kinetics; Andrade creep
Record Number:CaltechAUTHORS:20090904-125145240
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20090904-125145240
Official Citation:T. Sullivan, M. Koslowski, F. Theil, M. Ortiz, On the behavior of dissipative systems in contact with a heat bath: Application to Andrade creep, Journal of the Mechanics and Physics of Solids, Volume 57, Issue 7, July 2009, Pages 1058-1077, ISSN 0022-5096, DOI: 10.1016/j.jmps.2009.03.006. (http://www.sciencedirect.com/science/article/B6TXB-4VYXMVK-1/2/196457c7cfd5c9e38deaf39ef98c1fbf)
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:15620
Collection:CaltechAUTHORS
Deposited By: George Porter
Deposited On:22 Sep 2009 18:03
Last Modified:26 Dec 2012 11:19

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