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Elastic properties of networks of fractal clusters

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Abstract

Elastic properties of casein gels were followed by dynamic measurements for various volume fractions of casein micelles far above the percolation threshold. Elastic and loss storage moduli versus volume fractions obey a power law with an exponent close to 3. The previous theoretical models for networks made of a homogeneous packing of fractal flocs do not predict the observed behavior. A model is proposed to estimate the vectorial contribution to the network elasticity. This model is in agreement with our experimental results. The value of the fractal dimension of the flocs derived from this analysis is discussed as a function of the volume fraction of primary particles.

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Authors and Affiliations

  1. Laboratoire de Physicochimie Macromoléculaire, ESPCI, 10, rue Vauquelin, 75231, Paris Cedex 05, France

    V. Chaplain

  2. Laboratoire de biorhéologie et d'hydrodynamique physico-chimique, CNRS URA 343, Université Paris VII, Paris, France

    P. Mills

  3. Laboratoire de Physique thermique, CNRS URA 857, ESPCI, Paris, France

    M. Djabourov

Authors
  1. V. Chaplain
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  2. P. Mills
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  3. M. Djabourov
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Chaplain, V., Mills, P. & Djabourov, M. Elastic properties of networks of fractal clusters. Colloid Polym Sci 272, 991–999 (1994). https://doi.org/10.1007/BF00658898

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  • DOI: https://doi.org/10.1007/BF00658898

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