Micromechanical Model for Deformation in Solids with Universal Predictions for Stress-Strain Curves and Slip Avalanches

Karin A. Dahmen, Yehuda Ben-Zion, and Jonathan T. Uhl
Phys. Rev. Lett. 102, 175501 – Published 27 April 2009

Abstract

A basic micromechanical model for deformation of solids with only one tuning parameter (weakening ε) is introduced. The model can reproduce observed stress-strain curves, acoustic emissions and related power spectra, event statistics, and geometrical properties of slip, with a continuous phase transition from brittle to ductile behavior. Exact universal predictions are extracted using mean field theory and renormalization group tools. The results agree with recent experimental observations and simulations of related models for dislocation dynamics, material damage, and earthquake statistics.

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  • Received 23 May 2008

DOI:https://doi.org/10.1103/PhysRevLett.102.175501

©2009 American Physical Society

Authors & Affiliations

Karin A. Dahmen, Yehuda Ben-Zion, and Jonathan T. Uhl

  • Department of Physics, University of Illinois at Urbana Champaign, Urbana, Illinois 61801, USA, and Department of Earth Sciences, University of Southern California, Los Angeles, California 90089-0740, USA

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Issue

Vol. 102, Iss. 17 — 1 May 2009

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