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One-dimensional compression of a saturated elastoviscoplastic medium

Daniel T. Paterson1, Tom S. Eaves2, Duncan R. Hewitt3, Neil J. Balmforth4, and D. Mark Martinez1

  • 1Department of Chemical and Biological Engineering, University of British Columbia, Vancouver, British Columbia V6T 1Z4, Canada
  • 2School of Science and Engineering, University of Dundee, Fulton Building, Dundee DD1 4HN, United Kingdom
  • 3Department of Mathematics, University College London, London WC1H 0AY, United Kingdom
  • 4Department of Mathematics, University of British Columbia, Vancouver, British Columbia V6T 1Z2, Canada

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Phys. Rev. Fluids 7, 054303 – Published 31 May, 2022

DOI: https://doi.org/10.1103/PhysRevFluids.7.054303

Abstract

A theoretical and experimental study is presented of the one-dimensional compression of a networked suspension. Particular attention is given to relatively rapid compression where we extend previous works by including an elastoviscoplastic constitutive relation. Solutions of a one-dimensional model are presented, and asymptotic limits explored, for compressions controlling either displacement or load. The results are compared to complementary laboratory experiments using cellulose fiber suspensions, with the material functions appearing in the model calibrated by independent experiments. Measurements of load and local solid velocity as a function of displacement during compression and unloading gauge the importance of elastic effects. The comparison between experiment and theory is satisfying, demonstrating a dramatic improvement over existing inelastic constitutive models in reproducing the observed differential spatial compaction.

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Phys. Rev. Fluids 7, 054303– Published 31 May, 2022
  • Received 20 January 2022
  • Accepted 9 May 2022
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