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Rigidity percolation in dispersions with a structured viscoelastic matrix.

M W L Wilbrink1, M A J Michels, W P Vellinga

  • 1Technische Universiteit Eindhoven, Group Polymer Physics, Department of Applied Physics, The Netherlands.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|May 21, 2005
PubMed
Summary

Rigidity percolation in composite materials is governed by particle spacing, not just volume fraction. This finding is crucial for understanding the mechanical behavior of viscoelastic composites.

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Area of Science:

  • Materials Science
  • Polymer Science
  • Rheology

Background:

  • Composite materials with viscoelastic matrices are essential in various industries.
  • Understanding rigidity percolation is key to predicting material mechanical properties.
  • Microstructured matrices, like hydrocarbon refinery residue, present unique challenges.

Purpose of the Study:

  • To investigate rigidity percolation in composite materials with a viscoelastic matrix.
  • To determine the factors controlling the percolation threshold.
  • To elucidate the role of particle spacing and matrix structure.

Main Methods:

  • Fabrication of model random composites with controlled interparticle distances.
  • Mixing monodisperse particles of different sizes (0.35 µm and 17.5 µm) into a viscoelastic matrix.

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  • Measurement of storage modulus (G') and analysis of scaling exponents.

    • Main Results:

    • Observed a scaling exponent of 3.9 ± 0.6 for G' vs. (phi - phi(c)) above the percolation threshold (phi(c)).
    • Found that mean surface-to-surface distance, not volume fraction, characterizes the pore structure at the rigidity-percolation threshold.
    • Demonstrated that the internal fractal structure of the viscoelastic matrix influences rigidity.

    Conclusions:

    • Rigidity percolation in these composites is primarily controlled by the mean interparticle distance and the matrix's internal structure.
    • The interplay between solid aggregates and the viscous medium in the matrix dictates the material's rigidity.
    • Breakdown of time-temperature superposition near the percolation threshold is linked to the mechanical interaction timescale between matrix phases.