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Elastic response of wire frame glasses. II. Three-dimensional systems
David A King1, Masao Doi2, Erika Eiser1
1Cavendish Laboratory, University of Cambridge, J J Thomson Ave., Cambridge CB3 0HE, United Kingdom.
The Journal of Chemical Physics
|July 9, 2021
Summary
Rigid wire frame particles in dense suspensions exhibit unique elastic responses compared to simple rods. Their behavior, influenced by bending due to entanglements, differs significantly from straight rods, especially at higher densities.
Area of Science:
- Soft Matter Physics
- Polymer Physics
- Materials Science
Background:
- Understanding the mechanical properties of concentrated suspensions is crucial for material design.
- Previous work (Paper I) established geometric methods for analyzing particle behavior.
Purpose of the Study:
- To investigate the elastic response of rigid wire frame particles in concentrated glassy suspensions.
- To compare the behavior of L-shaped wire frames with simple rigid rods.
Main Methods:
- Application of geometric methods developed in Paper I.
- Analysis of linear and non-linear elastic responses.
- Comparison of L-shaped particles with straight rods.
Main Results:
- Wire frame particles show distinct elastic behavior compared to rods.
- Linear elasticity scales differently: ρ³L⁶ for L-shapes vs. ρ for rods.
- Non-linear response exhibits a shear hardening to softening transition at a critical density.
- Bending of wire frames due to entanglements is significant even at small strains.
Conclusions:
- The ability of wire frames to bend is a key factor differentiating their elasticity from rigid rods.
- Entanglements significantly influence particle behavior, leading to unique elastic properties in concentrated suspensions.
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