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A Dynamic Percolation Approach to the Andrade Creep
Author(s) -
Schönhals A.,
Donth E.
Publication year - 1984
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.2221240209
Subject(s) - creep , exponent , percolation (cognitive psychology) , power law , percolation theory , dissipation , shear (geology) , statistical physics , relaxation (psychology) , materials science , mechanics , physics , mathematics , thermodynamics , conductivity , statistics , psychology , social psychology , linguistics , philosophy , composite material , neuroscience , biology , quantum mechanics
Abstract A new approach to the Andrade law of creep relaxation is given. Starting points are the theory of linear response and the fluctuation‐dissipation theorem (FDT). According to the FDT the macroscopic shear complianceis determined by the correlation function of shear angle fluctuation of a functional subsystem. An investigation of the shear pulse response leads to the conclusion that the subsystem must be considered as a temporarily inhomogeneous solid. A dynamical percolation model is developed resulting in a power law for the short‐time behavior of creep compliance. The relevant exponent lies between 0.3 and 0.47, definitely lower than 1/2. The experimental value for the Andrade exponent is about 1/3.