Abstract
Strong yield stress fluctuations and size effects are observed in
plastically deformed micron size samples 1. The problem can be analyzed in
the framework of the yielding transition proposed for the dynamics of
interacting dislocations 2. Here we discuss the numerical results of a
cellular automaton model of dislocation dynamics including long-range
stresses, dislocation annihilation and multiplication. We compute the yield
stress distribution and its dependence on the sample size. The numerical
results are compared with experiments 1.\\
1) M. D. Uchic et al., Science 305, 986 (2004).\\
2) M. Zaiser and P. Moretti, JSTAT, P08004 (2005).
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