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A Stochastic Model of Creep
Author(s) -
Feltham P.
Publication year - 1968
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.19680300117
Subject(s) - creep , activation energy , dislocation , thermodynamics , logarithm , power law , scope (computer science) , jump , materials science , statistical physics , stochastic modelling , markov process , stress (linguistics) , mechanics , mathematics , physics , mathematical analysis , computer science , chemistry , composite material , statistics , philosophy , linguistics , quantum mechanics , programming language
A model of creep in solids is developed in which flow units, identified with dislocation segments in crystals, overcome energy barriers u 1 ≦ u ≦ u 2 with the aid of thermal activation. Each successful transition of a unit increases or decreases the barrier for the subsequent jump by a stress‐dependent increment. The continuity equation of the Markov process defined by the premise yields activation energy distributions as particular solutions. The distributions are used to derive relations for logarithmic, power‐law, and quasi‐viscous creep. The model delineates the scope of temperature cycling in the determination of activation energies.