Shear Jamming and Fragility of Suspensions in a Continuum Model with Elastic Constraints

Giulio G. Giusteri and Ryohei Seto

Phys. Rev. Lett. 127, 138001 – Published 20 September 2021

Abstract

Under an applied traction, highly concentrated suspensions of solid particles in fluids can turn from a state in which they flow to a state in which they counteract the traction as an elastic solid: a shear-jammed state. Remarkably, the suspension can turn back to the flowing state simply by inverting the traction. A tensorial model is presented and tested in paradigmatic cases. We show that, to reproduce the phenomenology of shear jamming in generic geometries, it is necessary to link this effect to the elastic response supported by the suspension microstructure rather than to a divergence of the viscosity.

Received 1 February 2021
Accepted 20 August 2021

DOI:https://doi.org/10.1103/PhysRevLett.127.138001

Physics Subject Headings (PhySH)

Complex fluids Jamming Rheology

Non-Newtonian fluids Suspensions

Finite-element method

Polymers & Soft MatterFluid Dynamics

Authors & Affiliations

Giulio G. Giusteri ^*

Dipartimento di Matematica, Università degli Studi di Padova, Via Trieste 63, 35121 Padova, Italy

Ryohei Seto ^†

Wenzhou Institute, University of Chinese Academy of Sciences, Wenzhou, Zhejiang 325001, China; Oujiang Laboratory (Zhejiang Lab for Regenerative Medicine, Vision and Brain Health), Wenzhou, Zhejiang 325001, China; and The Graduate School of Information Science, University of Hyogo, Kobe, Hyogo 650-0047, Japan

^*giulio.giusteri@math.unipd.it
^†seto@ucas.ac.cn

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Vol. 127, Iss. 13 — 24 September 2021

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