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On the behavior of dissipative systems in contact with a heat bath : application to Andrade creep
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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. doi:10.1016/j.jmps.2009.03.006
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Official URL: http://dx.doi.org/10.1016/j.jmps.2009.03.006
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 |
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| 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 | ||||
| Official Date: | July 2009 | ||||
| Dates: |
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| Volume: | Vol.57 | ||||
| Number: | No.7 | ||||
| Number of Pages: | 20 | ||||
| Page Range: | pp. 1058-1077 | ||||
| DOI: | 10.1016/j.jmps.2009.03.006 | ||||
| Status: | Peer Reviewed | ||||
| Publication Status: | Published | ||||
| Access rights to Published version: | Restricted or Subscription Access |
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