https://doi.org/10.1140/epje/i2004-10054-8
Elastic consequences of a single plastic event: A step towards the microscopic modeling of the flow of yield stress fluids
1
Laboratoire de Physico-Chimie Théorique, UMR CNRS 7083, ESPCI, 10 rue Vauquelin, F-75005, Paris, France
2
Laboratoire de Physico-Chimie Macromoléculaire, UMR CNRS 7615, ESPCI, 10 rue Vauquelin, F-75005, Paris, France
3
Laboratoire PMCN, UMR CNRS 5586, Université Lyon I, 43 Bd du 11 Novembre 1918, 69622, Villeurbanne Cedex, France
* e-mail: armand.ajdari@espci.fr
Received:
16
January
2004
Accepted:
29
September
2004
Published online:
25
November
2004
With the eventual aim of describing flowing elasto-plastic materials, we focus here on the elementary process of such a flow, a plastic event, and compute the long-range perturbation it elastically induces in a medium submitted to a global shear strain. We characterize the effect of a nearby wall on this perturbation, and quantify the importance of finite-size effects. Although most of our explicit formulae refer to 2D situations, our statements hold for 3D situations as well.
PACS: 46.25.Cc Theoretical studies – / 83.10.Ff Continuum mechanics – / 83.60.La Viscoplasticity; yield stress –
© EDP Sciences, Società Italiana di Fisica and Springer-Verlag, 2005
