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An elasto-visco-plastic model for immortal foams or emulsions
S Bénito1, C-H Bruneau, T Colin
1351 Cours de la Libération, Université Bordeaux 1, INRIA Futurs projet MC2 et IMB, F-33405, Talence cedex, France.
The European Physical Journal. E, Soft Matter
|March 25, 2008
Summary
This study introduces a minimal rheological model for soft, complex fluids like foams and emulsions. The model describes their elastic deformation before plastic flow, offering a new way to understand these materials.
Area of Science:
- Soft Matter Physics
- Rheology
- Complex Fluids
Background:
- Complex fluids like foams and emulsions consist of packed, deformable objects.
- Their dense packing leads to topological changes and a finite yield threshold.
- Material properties can change over time due to aging, which is neglected here.
Purpose of the Study:
- To construct a minimal, fully tensorial rheological model for immortal soft materials.
- To describe the elastic deformation and subsequent plastic creep of these complex fluids.
- To provide a model equivalent to the scalar Bingham model.
Main Methods:
- Development of a minimal, fully tensorial rheological model.
- Focus on immortal fluids, neglecting aging effects.
- Mathematical formulation to describe elastic and plastic behaviors.
Main Results:
- The model consistently describes substantial elastic deformation in soft materials.
- It captures the transition to incompressible plastic creep under higher stresses.
- The model is mathematically equivalent to the scalar Bingham model.
Conclusions:
- The developed rheological model accurately represents the behavior of immortal soft materials.
- It provides a tensorial framework for understanding elastic and plastic flow in complex fluids.
- This work simplifies the study of soft materials by focusing on essential rheological properties.
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