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The European Physical Journal E

, Volume 31, Issue 1, pp 51–58 | Cite as

A convective instability mechanism for quasistatic crack branching in a hydrogel

  • T. Baumberger
  • O. RonsinEmail author
Regular Article

Abstract

Experiments on quasistatic crack propagation in gelatin hydrogels reveal a new branching instability triggered by wetting the tip opening with a drop of aqueous solvent less viscous than the bulk one. We show that the emergence of unstable branches results from a balance between the rate of secondary crack growth and the rate of advection away from a non-linear elastic region of size G/E , where G is the fracture energy and E the small strain Young modulus. We build a minimal, predictive model that combines mechanical characteristics of this mesoscopic region and physical features of the process zone. It accounts for the details of the stability diagram and lends support to the idea that non-linear elasticity plays a critical role in crack front instabilities.

Keywords

Fracture Energy Energy Release Rate Process Zone Linear Elastic Fracture Mechan Edge Crack 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg 2010

Authors and Affiliations

  1. 1.INSPUPMC Univ Paris 06, CNRS UMR 7588ParisFrance

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