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Phenomenological theory of the Portevin‐Le Chatelier effect
Author(s) -
Schlipf Josef
Publication year - 1987
Publication title -
steel research
Language(s) - English
Resource type - Journals
eISSN - 1869-344X
pISSN - 0177-4832
DOI - 10.1002/srin.198701590
Subject(s) - portevin–le chatelier effect , phenomenological model , deformation (meteorology) , dynamic strain aging , dislocation , mechanics , physics , strain rate , thermodynamics , classical mechanics , materials science , condensed matter physics , meteorology
Starting from the observation that the serrations appearing in the Portevin‐Le Chatelier effect are produced by hopping deformation bands a set of three autonomous equations is derived for the phenomenological variables load, band velocity and deformation profile. Approximate solutions for the three quantities are given and it is shown that a negative strain rate sensitivity is only sufficient, but not necessary for the appearance of serrations. The treatment of the bands as solitary waves is based on the existence of a mechanical equation of state, using the total dislocation density as structure parameter. A discussion of this approach reveals that a full description of the Portevin‐Le Chatelier effect is not possible on the basis of a single structure parameter.