Elastic consequences of a single plastic event: a step towards the microscopic modeling of the flow of yield stress fluids.
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.
Picard
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Laboratoire de Physico-Chimie Théorique, UMR CNRS 7083, ESPCI, 10 rue Vauquelin, F-75005, Paris, France.
Ajdari
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A
Lequeux
F
F
Bocquet
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L