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

被引：0

作者：

Theil, Florian ^{[1
]}

Sullivan, Tim ^{[1
]}

Koslovski, Marisol ^{[2
]}

Ortiz, Michael ^{[3
]}

机构：

[1] Univ Warwick, Inst Math, Coventry CV4 7AL, W Midlands, England

[2] Purdue Univ, Sch Mech Engn, W Lafayette, IN 47907 USA

[3] CALTECH, Engn & Appl Sci Div, Pasadena, CA 91125 USA

来源：

IUTAM SYMPOSIUM ON VARIATIONAL CONCEPTS WITH APPLICATIONS TO THE MECHANICS OF MATERIALS | 2010年 / 21卷

关键词：

DUCTILE SINGLE-CRYSTALS; VARIATIONAL FORMULATION; MINIMUM PRINCIPLES; DISLOCATIONS; TRAJECTORIES; CRITICALITY; HYSTERESIS; LIMIT; MODEL;

D O I：

10.1007/978-90-481-9195-6_20

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

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.

引用

页码：261 / +

页数：3

共 18 条

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