Many real fluids exhibit response characteristics that cannot be satisfactorily described by the classical Navier–Stokes fluid model and such fluids are referred to as non-Newtonian …
J Málek, V Pruša - … of mathematical analysis in mechanics of …, 2016 - karlin.mff.cuni.cz
The chapter starts with overview of the derivation of the balance equations for mass, momentum, angular momentum and total energy, which is followed by a detailed discussion …
KR Rajagopal, A Wineman - International Journal of Engineering Science, 2024 - Elsevier
There seems to be a basic misconception in several recent papers concerning the material symmetry of bodies in configurations that are pre-stressed. In this short paper we point to the …
KR Rajagopal - International Journal of Non-Linear Mechanics, 2013 - Elsevier
In this short paper I present an alternate way of describing fluids in general, and the Navier– Stokes fluid in particular, from a phenomenological point of view, that shows clearly that the …
In order to understand nonlinear responses of materials to external stimuli of different sort, be they of mechanical, thermal, electrical, magnetic, or of optical nature, it is useful to have at …
In this short note, we develop a new class of “quasi-linear” viscoelastic models wherein the linearized strain is expressed in terms of a nonlinear measure of the stress. The class of …
We derive a class of thermodynamically consistent variants of Maxwell/Oldroyd-B type models for incompressible viscoelastic fluids. In particular, we study the models that allow …
H Itou, VA Kovtunenko, KR Rajagopal - Mathematical Models and …, 2019 - World Scientific
A quasi-linear viscoelastic relation that stems from an implicit viscoelastic constitutive body containing a crack is considered. The abstract form of the response function is given first in L …