Mean Field Theory of Slip Statistics

Research output: Chapter in Book/Report/Conference proceedingChapter


A simple mean field model for the statistics and the dynamics of slip avalanches in slowly deformed solids is reviewed. Its universal scaling predictions are compared to experiments on slowly compressed single nanocrystals, microcrystals, bulk metallic glasses, and rocks, as well as to slowly sheared jammed granular materials, and to earthquakes. The remarkable agreement between model and experiments spanning 12 decades in length and a wide range of material structures implies that results on the slip statistics can be transferred from one solid material to another and from one scale to another. Potential applications of the results include materials testing, failure prediction, and hazard prevention.

Original languageEnglish (US)
Title of host publicationUnderstanding Complex Systems
Number of pages12
StatePublished - 2017

Publication series

NameUnderstanding Complex Systems
ISSN (Print)1860-0832
ISSN (Electronic)1860-0840


  • Bulk Metallic Glass
  • Shear Band
  • Slip Statistic
  • Slow Strain Rate
  • Stress Drop

ASJC Scopus subject areas

  • Software
  • Computational Mechanics
  • Artificial Intelligence


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