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Shear banding as a cause of nonmonotonic stress relaxation after flow cessation

Vanessa K. Ward* and Suzanne M. Fielding

  • *Contact author: vanessa.k.ward@durham.ac.uk
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Phys. Rev. Materials 9, L022601 – Published 7 February, 2025

DOI: https://doi.org/10.1103/PhysRevMaterials.9.L022601

Abstract

Recent flow cessation experiments on soft materials have shown a counterintuitive nonmonotonic relaxation of the shear stress: following the switch off of a steady imposed shear flow, the stress initially decays before later increasing again. By simulating the soft glassy rheology model in a form extended to allow steady state shear banding, we show that the presence of shear bands prior to flow cessation can give rise to this phenomenon. We give a mechanistic understanding of the basic physics involved, in terms of (i) the decay of the shear bands after flow cessation, and (ii) the evolution of frustrated local stresses, governed by different time scales for plastic relaxation in each band. In particular, an elastic recoil in the unsheared band gives rise to negative local frustrated stresses, the slow release of which can cause an increase in macroscopic stress. Given that shear banding and frustrated local stresses arise widely across disordered soft solids, we argue that nonmonotonic stress relaxation after flow cessation may occur in many different materials.

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Phys. Rev. Materials 9, L022601– Published 7 February, 2025
  • Received 20 August 2024
  • Revised 11 December 2024
  • Accepted 15 January 2025
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI.

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