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Quasi-static rheology of foams. Part 1. Oscillating strain

Published online by Cambridge University Press:  31 August 2007

ALEXANDRE KABLA  and
GEORGES DEBREGEAS
ALEXANDRE KABLA
Affiliation:
Department of Engineering, University of Cambridge, Trumpington Street, Cambridge, CB2 1PZ, UK
GEORGES DEBREGEAS
Affiliation:
Laboratoire de Physique Statistique, Ecole Normale Supérieure, CNRS – UMR 8550, 24 Rue Lhomond, 75231 Paris Cedex 05, France
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Abstract

A quasi-static simulation is used to study the mechanical response of a disordered bidimensional aqueous foam submitted to an oscillating shear strain. The application of shear progressively extends the elastic domain, i.e. the strain range within which no plastic process occurs. It is associated with the development of an irreversible normal stress difference, and a decrease in the shear modulus, which are both signatures of the appearance of anisotropy in the film network. Beyond this mechanical measurement, the evolutionof the structural properties of the foam is investigated. We focus in particular on the energy E0 defined as the minimum line-length energy under zero shear stress. For strainamplitude less than ~0.5, this quantity is found to decay with the number of applied cycles as a result of the curing of topological defects. However, for higher strain amplitude, plastic events appear to increase the structural disorder and tend to gather near the shearing walls. This process is a precursor of the shear-banding transition observed in fully developed flows, which will be studied in the companion paper. Movies are available with the online version of the paper.

Type
Papers
Information
Journal of Fluid Mechanics , Volume 587 , 25 September 2007 , pp. 23 - 44
Copyright
Copyright © Cambridge University Press 2007

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Kabla and Debregeas supplementary movie

Movie 1. A simulated two-dimensional polydisperse foam is subjected to a quasi-static oscillating imposed shear strain of maximum amplitude 0.3, by incrementally moving the lower rigid boundary. The rapid local neighbour-switching events among the bubbles, called T1 events, can be localized by the colour flashes.

Download Kabla and Debregeas supplementary movie(Video)
Video 13.8 MB

Kabla and Debregeas supplementary movie

Movie 1. A simulated two-dimensional polydisperse foam is subjected to a quasi-static oscillating imposed shear strain of maximum amplitude 0.3, by incrementally moving the lower rigid boundary. The rapid local neighbour-switching events among the bubbles, called T1 events, can be localized by the colour flashes.

Download Kabla and Debregeas supplementary movie(Video)
Video 894.8 KB

Kabla and Debregeas supplementary movie

Movie 2. As movie 1 but for maximum strain amplitude 0.45

Download Kabla and Debregeas supplementary movie(Video)
Video 51.9 MB

Kabla and Debregeas supplementary movie

Movie 2. As movie 1 but for maximum strain amplitude 0.45

Download Kabla and Debregeas supplementary movie(Video)
Video 3.3 MB

Kabla and Debregeas supplementary movie

Movie 3. As movie 1 but for maximum strain amplitude 1.0

Download Kabla and Debregeas supplementary movie(Video)
Video 99 MB

Kabla and Debregeas supplementary movie

Movie 3. As movie 1 but for maximum strain amplitude 1.0

Download Kabla and Debregeas supplementary movie(Video)
Video 6.1 MB