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Published on: April 19, 2018
Wire-Active Microrheology to Differentiate Viscoelastic Liquids from Soft Solids
Frédéric Loosli1, Matthieu Najm1, Raymond Chan1
1Matière et Systèmes Complexes, UMR 7057 CNRS, Université Denis Diderot Paris-VII, Bâtiment Condorcet, 10 rue Alice Domon et Léonie Duquet, 75205, Paris, France.
This study introduces constitutive equations for magnetic wires in yield-stress materials, using magnetic rotational spectroscopy (MRS) to analyze soft solids like gellan gum dispersions. MRS reveals distinct rheological signatures for soft solids, differentiating them from liquids.
Area of Science:
- Rheology
- Soft Matter Physics
- Polymer Science
Background:
- Distinguishing between viscoelastic liquids and soft solids based on rheological properties like viscosity and yield stress remains a challenge.
- Understanding the constitutive behavior of yield-stress materials is crucial for various scientific and industrial applications.
Purpose of the Study:
- To establish the constitutive equations of linear viscoelasticity for magnetic wires within yield-stress materials.
- To experimentally validate these equations using magnetic rotational spectroscopy (MRS).
- To characterize the unique rheological signature of soft solids.
Main Methods:
- Development of constitutive equations for linear viscoelasticity applied to magnetic wires in yield-stress media.
- Experimental investigation using magnetic rotational spectroscopy (MRS) with frequency-dependent rotational magnetic fields.
- Monitoring wire motion via time-lapse microscopy to analyze soft solid behavior (gellan gum dispersions).
Main Results:
- Soft solids exhibit a distinct rheological signature in MRS, characterized by zero average wire rotation velocity over a wide frequency range.
- The MRS technique was demonstrated to be quantitative.
- The equilibrium elastic modulus was successfully retrieved from wire oscillation amplitudes, aligning with polymer dynamics theory.
Conclusions:
- The study provides the first constitutive equations for magnetic wires in yield-stress materials.
- MRS is a quantitative technique capable of differentiating soft solids from liquids and measuring their elastic properties.
- The findings contribute to a deeper understanding of the rheology of soft solids and yield-stress materials.

