Avalanche Size Scaling in Sheared Three-Dimensional Amorphous Solid

Nicholas P. Bailey, Jakob Schiøtz, Anaël Lemaître, and Karsten W. Jacobsen
Phys. Rev. Lett. 98, 095501 – Published 28 February 2007

Abstract

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 Lα with α3/2. 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.

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  • Received 29 June 2006

DOI:https://doi.org/10.1103/PhysRevLett.98.095501

©2007 American Physical Society

Authors & Affiliations

Nicholas P. Bailey1,*, Jakob Schiøtz2, Anaël Lemaître3, and Karsten W. Jacobsen4

  • 1Department of Mathematics and Physics (IMFUFA), DNRF Center “Glass and Time”, Roskilde University, P.O. Box 260, DK-4000 Roskilde, Denmark
  • 2DNRF Center for Individual Nanoparticle Functionality, CINF, NanoDTU, Department of Physics, Technical University of Denmark, 2800 Kongens Lyngby, Denmark
  • 3Institut Navier-LMSGC, 2 allée Képler, 77420 Champs-sur-Marne, France
  • 4CAMP, NanoDTU, Department of Physics, Technical University of Denmark, 2800 Kongens Lyngby, Denmark

  • *Electronic address: nbailey@ruc.dk

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Vol. 98, Iss. 9 — 2 March 2007

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