%0 Journal Article
%T The kinetic approach to fracture in transient networks
%+ Laboratoire Charles Coulomb (L2C)
%A Mora, Serge
%< avec comité de lecture
%Z L2C:11-067
%@ 1744-683X
%J Soft Matter
%I Royal Society of Chemistry
%V 7
%P 4908-4917
%8 2011
%D 2011
%R 10.1039/c0sm01203c
%K CROSS-LINKED NETWORKS
%K VISCOELASTIC PROPERTIES
%K TENSILE DEFORMATION
%K AQUEOUS-SOLUTIONS
%K POLYMERS
%K MODEL
%K TIME
%K MICELLES
%K BREAKING
%K RHEOLOGY
%Z Physics [physics]/Physics [physics]/Classical Physics [physics.class-ph]
%Z Physics [physics]/Mechanics [physics]/Mechanics of materials [physics.class-ph]
%Z Engineering Sciences [physics]/Mechanics [physics.med-ph]/Mechanics of materials [physics.class-ph]Journal articles
%X 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.
%G English
%L hal-00597418
%U https://hal.science/hal-00597418
%~ CNRS
%~ L2C
%~ MIPS
%~ UNIV-MONTPELLIER
%~ UM-2015-2021