implicit constitutive relations
Recently Published Documents


TOTAL DOCUMENTS

22
(FIVE YEARS 2)

H-INDEX

9
(FIVE YEARS 0)

Fluids ◽  
2021 ◽  
Vol 6 (3) ◽  
pp. 131
Author(s):  
Vít Průša ◽  
K. R. Rajagopal

Viscoelastic fluids are non-Newtonian fluids that exhibit both “viscous” and “elastic” characteristics in virtue of the mechanisms used to store energy and produce entropy. Usually, the energy storage properties of such fluids are modeled using the same concepts as in the classical theory of nonlinear solids. Recently, new models for elastic solids have been successfully developed by appealing to implicit constitutive relations, and these new models offer a different perspective to the old topic of the elastic response of materials. In particular, a sub-class of implicit constitutive relations, namely relations wherein the left Cauchy–Green tensor is expressed as a function of stress, is of interest. We show how to use this new perspective in the development of mathematical models for viscoelastic fluids, and we provide a discussion of the thermodynamic underpinnings of such models. We focus on the use of Gibbs free energy instead of Helmholtz free energy, and using the standard Giesekus/Oldroyd-B models, we show how the alternative approach works in the case of well-known models. The proposed approach is straightforward to generalize to more complex settings wherein the classical approach might be impractical or even inapplicable.



2020 ◽  
Vol 126 ◽  
pp. 103560
Author(s):  
R. Bustamante ◽  
K.R. Rajagopal ◽  
O. Orellana ◽  
R. Meneses


2020 ◽  
Vol 126 ◽  
pp. 103526
Author(s):  
R. Bustamante ◽  
K.R. Rajagopal ◽  
O. Orellana ◽  
R. Meneses




Sign in / Sign up

Export Citation Format

Share Document