Nonuniversality of roughness exponent of quasistatic fracture surfaces

Mehdi Ansari-Rad, S. Mehdi Vaez Allaei, and Muhammad Sahimi
Phys. Rev. E 85, 021121 – Published 15 February 2012

Abstract

Numerous experiments have indicated that the fracture front (in three dimensions) and crack lines (in two dimensions) in disordered solids and rocklike materials is rough. It has been argued that the roughness exponent ζ is universal. Using extensive simulations of a two-dimensional model, we provide strong evidence that if extended correlations and anisotropy—two features that are prevalent in many materials—are incorporated in the models that are used in the numerical simulation of crack propagation, then ζ will vary considerably with the extent of the correlations and anisotropy. The results are consistent with recent experiments that also indicate deviations of ζ from its supposedly universal value, as well as with the data from rock samples.

  • Figure
  • Figure
  • Figure
  • Figure
  • Figure
  • Figure
  • Figure
1 More
  • Received 9 May 2011

DOI:https://doi.org/10.1103/PhysRevE.85.021121

©2012 American Physical Society

Authors & Affiliations

Mehdi Ansari-Rad1, S. Mehdi Vaez Allaei1,*, and Muhammad Sahimi2,†

  • 1Department of Physics, University of Tehran, Tehran 14395-547, Iran
  • 2Mork Family Department of Chemical Engineering & Materials Science, University of Southern California, Los Angeles, California 90089-1211, USA

  • *smvaez@ut.ac.ir
  • moe@iran.usc.edu

Article Text (Subscription Required)

Click to Expand

References (Subscription Required)

Click to Expand
Issue

Vol. 85, Iss. 2 — February 2012

Reuse & Permissions
Access Options
Author publication services for translation and copyediting assistance advertisement

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review E

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×