Journal
SOFT MATTER
Volume 7, Issue 10, Pages 4908-4917Publisher
ROYAL SOC CHEMISTRY
DOI: 10.1039/c0sm01203c
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Funding
- EU
- ANR [ANR-2010-BLAN-0402-1 (F2F)]
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We introduce a model describing failure in transient networks. The two main ingredients are (i) the lifetime of a non connecting bond is far smaller than that of an active bond, (ii) the lifetime of an active bond is a decreasing function of the force carried by this bond. We show that these assumptions are sufficient to predict a failure threshold. Below this threshold the bonds distribution is driven by a diffusion equation. The bonds are redistributed homogeneously in the sample, leading to its self-adhesive feature. Beyond this threshold, the diffusion coefficient is negative, causing a catastrophic amplification of any heterogeneity. The final stage is the fracture. Finally, we give an interpretation of delayed fractures for these kinds of materials.
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