| We propose a kinetic toy model to describe the dynamics of sliding layers as it occurs in the plastic deformation of single crystals. As its basic ingredient, the distribution function of relative strains between adjacent crystal layers is introduced with time evolution described by a diffusion equation with periodic boundary conditions. The model highlights the conceptual difference in the dynamics of the elastic and plastic strains, the latter being related to an average hopping rate. We illustrate the model by calculation of the stress response for both stationary and transient conditions.
for LaTeX users @article{MH\"utter2009-48,
author = {M. H\"utter and M. Grmela and H. C. \"Ottinger},
title = {What is behind the plastic strain rate?},
journal = {Rheol. Acta},
volume = {48},
pages = {769-778},
year = {2009}
}
\bibitem{MH\"utter2009-48} M. H\"utter, M. Grmela, H.C. \"Ottinger,
What is behind the plastic strain rate?,
Rheol. Acta {\bf 48} (2009) 769-778.MH\"utter2009-48
M. H\"utter, M. Grmela, H.C. \"Ottinger
What is behind the plastic strain rate?
Rheol. Acta,48,2009,769-778 |
mk@mat.ethz.ch
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