TY  - CHAP
T1  - A new class of models to describe the response of electrorheological and other field dependent fluids
A1  - Průša, Vít
A1  - Rajagopal, K. R.
TI  - Generalized models and non-classical approaches in complex materials 1
Y1  - 2018
PB  - Springer
M2  - doi: 10.1007/978-3-319-72440-9_35
KW  - constitutive relations
KW  - electrorheological fluids
KW  - implicit constitutive relations
N2  - We propose a new class of models for electrorheological fluids. While the standard constitutive relations for electrorheological fluids are based on the assumption that the stress is a function of the symmetric part of the velocity gradient and the intensity of the electric field, we formulate constitutive relations in an implicit way. The stress, the symmetric part of the velocity gradient and the intensity of the electric field are linked via a tensorial implicit equation. The potential benefit of the new class of models is investigated by the analysis of a simple shear flow in a transverse electric field.
ER  -