Super-Arrhenius dynamics for sub-critical crack growth in two-dimensional disordered brittle media - Archive ouverte HAL Access content directly
Journal Articles EPL - Europhysics Letters Year : 2006

Super-Arrhenius dynamics for sub-critical crack growth in two-dimensional disordered brittle media

(1) , (1) , (1)
1
Pierre-Philippe Cortet
Loïc Vanel
Sergio Ciliberto
  • Function : Author
  • PersonId : 829236

Abstract

Taking into account stress fluctuations due to thermal noise, we study thermally activated irreversible crack growth in disordered media. The influence of material disorder on sub-critical growth of a single crack in two-dimensional brittle elastic material is described through the introduction of a gaussian rupture threshold distribution. We derive analytical predictions for crack growth velocity and material lifetime in agreement with direct numerical calculations. It is claimed that crack growth process is inhibited by disorder: velocity decreases and lifetime increases with disorder. More precisely, lifetime is shown to follow a super-Arrhenius law, with an effective temperature $\theta-\theta_d$, where $\theta$ is related to the thermodynamical temperature and $\theta_d$ to the disorder variance.
Fichier principal
Vignette du fichier
2006_Cortet_EPL.pdf (161.37 Ko) Télécharger le fichier
Origin : Publisher files allowed on an open archive
Loading...

Dates and versions

ensl-00156836 , version 1 (22-06-2007)
ensl-00156836 , version 2 (23-03-2018)

Identifiers

Cite

Pierre-Philippe Cortet, Loïc Vanel, Sergio Ciliberto. Super-Arrhenius dynamics for sub-critical crack growth in two-dimensional disordered brittle media. EPL - Europhysics Letters, 2006, 74 (4), pp.602. ⟨10.1209/epl/i2005-10572-5⟩. ⟨ensl-00156836v2⟩
63 View
150 Download

Altmetric

Share

Gmail Facebook Twitter LinkedIn More