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This study reveals complex nonlinear viscoelastic behavior in jammed particle packings, challenging simple models and showing rich responses even below the jamming point.

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Area of Science:

  • Physics
  • Materials Science
  • Rheology

Background:

  • Jammed packings of frictionless particles exhibit anomalous mechanical and rheological properties under shear.
  • Two key anomalies include frequency-dependent scaling (G(ω) ~ ω^1/2) and strain-dependent softening (G(γ) ~ γ^-1/2).
  • These behaviors are observed above the jamming transition point (φJ) and their range broadens as φJ is approached.

Purpose of the Study:

  • Investigate the mechanical response in the regime where frequency and strain anomalies coexist near the jamming transition.
  • Explore the coexistence of linear-response and quasi-static anomalies in jammed systems.
  • Characterize nonlinear viscoelastic behavior in the vicinity of the jamming transition.

Main Methods:

  • Numerical analysis of jammed packings of frictionless particles.
  • Application of two rheological protocols: oscillatory shear and transient stress relaxation.
  • Investigation of systems near the jamming transition point (φJ).

Main Results:

  • Mechanical responses do not follow a simple superposition of the two known algebraic relaxations.
  • Rich nonlinear viscoelastic behavior is observed both above and below the jamming transition point (φJ).
  • The study highlights complex interactions between frequency and strain dependencies in jammed systems.

Conclusions:

  • The mechanical response of jammed packings near the jamming transition is complex and exhibits nonlinear viscoelasticity.
  • Simple superposition models fail to capture the observed behavior.
  • Nonlinear effects are present even below the jamming transition point, suggesting a more nuanced understanding is required.