First-Principles Constitutive Equation for Suspension Rheology

Brader, Joseph M.; Cates, Michael E.; Fuchs, Matthias

First-Principles Constitutive Equation for Suspension Rheology

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Datum

2008

Autor:innen

Brader, Joseph M.

Cates, Michael E.

Fuchs, Matthias

Publikationstyp

Zeitschriftenartikel

Publikationsstatus

Published

Erschienen in

Physical Review Letters. 2008, 101, 138301. Available under: doi: 10.1103/PhysRevLett.101.138301

Zusammenfassung

Using mode-coupling theory, we derive a constitutive equation for the nonlinear rheology of dense colloidal suspensions under arbitrary time-dependent homogeneous flow. Generalizing previous results for simple shear, this allows the full tensorial structure of the theory to be identified. Macroscopic deformation measures, such as the Cauchy-Green tensors, thereby emerge. So does a direct relation between the stress and the distorted microstructure, illuminating the interplay of slow structural relaxation and arbitrary imposed flow. We present flow curves for steady planar and uniaxial elongation and compare these to simple shear. The resulting nonlinear Trouton ratios point to a tensorially nontrivial dynamic yield condition for colloidal glasses.

Fachgebiet (DDC)

530 Physik

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ISO 690

BRADER, Joseph M., Michael E. CATES, Matthias FUCHS, 2008. First-Principles Constitutive Equation for Suspension Rheology. In: Physical Review Letters. 2008, 101, 138301. Available under: doi: 10.1103/PhysRevLett.101.138301

BibTex

@article{Brader2008First-868,
  year={2008},
  doi={10.1103/PhysRevLett.101.138301},
  title={First-Principles Constitutive Equation for Suspension Rheology},
  volume={101},
  journal={Physical Review Letters},
  author={Brader, Joseph M. and Cates, Michael E. and Fuchs, Matthias},
  note={Article Number: 138301}
}

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