Avalanche size scaling in sheared three-dimensional amorphous solid

NP Bailey, J Schiøtz, A Lemaître, KW Jacobsen - Physical review letters, 2007 - APS
Physical review letters, 2007APS
We study the statistics of plastic rearrangement events in a simulated amorphous solid at T=
0. Events are characterized by the energy release and the “slip volume”, the product of
plastic strain and system volume. Their distributions for a given system size L appear to be
exponential, but a characteristic event size cannot be inferred, because the mean values of
these quantities increase as L α with α∼ 3/2. In contrast with results obtained in 2D models,
we do not see simply connected avalanches. The exponent suggests a fractal shape of the …
We study the statistics of plastic rearrangement events in a simulated amorphous solid at . Events are characterized by the energy release and the “slip volume”, the product of plastic strain and system volume. Their distributions for a given system size appear to be exponential, but a characteristic event size cannot be inferred, because the mean values of these quantities increase as with . In contrast with results obtained in 2D models, we do not see simply connected avalanches. The exponent suggests a fractal shape of the avalanches, which is also evidenced by the mean fractal dimension and participation ratio.
American Physical Society
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