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Dissipative Systems in Contact with a Heat Bath: Application to Andrade Creep

Theil, Florian and Sullivan, Tim and Koslovski, Marisol and Ortiz, Michael (2010) Dissipative Systems in Contact with a Heat Bath: Application to Andrade Creep. In: IUTAM Symposium on Variational Concepts with Applications to the Mechanics of Materials. Springer , Dordrecht, pp. 261-272. ISBN 978-90-481-9194-9.

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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:Book Section
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Ortiz, Michael0000-0001-5877-4824
Additional Information:© 2010 Springer Science+Business Media B.V. First Online: 21 April 2010.
Record Number:CaltechAUTHORS:20200603-073605619
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:103657
Deposited By: Tony Diaz
Deposited On:03 Jun 2020 16:11
Last Modified:03 Jun 2020 16:11

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