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Nonlinear dynamics of an interface between shear bands.

S M Fielding1, P D Olmsted

  • 1School of Mathematics, University of Manchester, Booth Street East, Manchester M13 9EP, United Kingdom.

Physical Review Letters
|April 12, 2006
PubMed
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We numerically studied shear banding interfaces using the Johnson-Segalman model. We found that decreasing interfacial width leads to complex dynamics, transitioning from simple waves to chaotic behavior in multiple shear bands.

Area of Science:

  • Rheology
  • Nonlinear Dynamics
  • Materials Science

Background:

  • Shear banding is a common phenomenon in soft materials.
  • Understanding the dynamics of shear banding interfaces is crucial for predicting material behavior.

Purpose of the Study:

  • To numerically investigate the nonlinear dynamics of shear banding interfaces.
  • To explore the influence of interfacial width on interface stability and dynamics.

Main Methods:

  • Numerical simulations of the nonlocal Johnson-Segalman model.
  • Analysis of interfacial stability and dynamics under varying interfacial width to cell length ratios.

Main Results:

  • An initially flat interface becomes unstable to undulations for small interfacial width to cell length ratios.

Related Experiment Videos

  • Interfacial fluctuations transition from traveling waves to periodically rippling waves as the ratio decreases.
  • Multiple shear bands exhibit erratic dynamics and stress responses indicative of low-dimensional chaos.

    • Conclusions:

    • The study reveals a nonequilibrium transition in shear banding dynamics.
    • Interfacial width is a critical parameter governing the transition to complex dynamics.
    • The findings provide insights into the chaotic behavior of complex fluid flows.