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A Cooperative Mechanism Limiting the Spectral Width of Stress Relaxation Processes in Solids
Author(s) -
Kubát J.
Publication year - 1982
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.2221110223
Subject(s) - relaxation (psychology) , stress relaxation , limiting , statistical physics , subdivision , cluster (spacecraft) , stress (linguistics) , diagram , mechanism (biology) , mathematics , physics , cluster size , thermodynamics , materials science , statistics , creep , quantum mechanics , computer science , molecular dynamics , mechanical engineering , psychology , social psychology , history , linguistics , philosophy , archaeology , engineering , programming language
A recently developed two‐level cooperative model of stress relaxation in solids is shown to describe correctly the experimental finding F /σ 0 *≈ 0.1, with F denoting the maximum slope of the relaxation curves in a σ (stress)–ln t (time) diagram, and σ 0 *the initial effective stress. The basic idea underlying the model is the notion of multiple transitions between the two levels, such transitions being induced by spontaneous events by a similar mechanism as in B‐E statistics. The spectrum of relaxation times, τ, is determined by the size distribution of the clusters, the τ values being inversely proportional to the cluster size. A subdivision of the relaxing system into smaller cooperating regions is one of the consequences of the constancy of the ratio F /σ 0 * .