55 citations · 185 across the 11 of their papers we have counts for
11 papers
The conclusion that metamaterials could have negative mass is a consequence of improper constitutive characterisation
David Cichra, Vít Průša, K. R. Rajagopal +2
The concept of "effective mass" is frequently used for the simplification of complex lumped parameter systems (discrete dynamical systems) as well as materials that have complicate…
Piecewise linear constitutive relations for stretch-limited elastic strings
Roger Bustamante, K. R. Rajagopal, Casey Rodriguez
This study proposes a simple and novel class of stretch-limiting constitutive relations for perfectly flexible elastic strings drawing from modern advances in constitutive theory f…
The state of stress and strain adjacent to notches in a new class of nonlinear elastic bodies
Vojtěch Kulvait, Josef Málek, K. R. Rajagopal
In this paper we study the deformation of a body with a notch subject to an anti-plane state of stress within the context of a new class of elastic models. These models stem as app…
Nonlinear Reynolds equation for hydrodynamic lubrication
Tom Gustafsson, K. R. Rajagopal, R. Stenberg +1
We derive a novel and rigorous correction to the classical Reynolds lubrication approximation for fluids with viscosity depending upon the pressure. Our analysis shows that the pre…
Modeling the Non-linear Viscoelastic Response of High Temperature Polyimides
Satish Karra, K. R. Rajagopal
A constitutive model is developed to predict the viscoelastic response of polyimide resins that are used in high temperature applications. This model is based on a thermodynamic fr…
On Maxwell fluid with relaxation time and viscosity depending on the pressure
Satish Karra, Vít Průša, K. R. Rajagopal
We study a variant of the well known Maxwell model for viscoelastic fluids, namely we consider the Maxwell fluid with viscosity and relaxation time depending on the pressure. Such…
A thermodynamic framework to develop rate-type models for fluids without instantaneous elasticity
Satish Karra, K. R. Rajagopal
In this paper, we apply the thermodynamic framework recently put into place by Rajagopal and co-workers, to develop rate-type models for viscoelastic fluids which do not possess in…
Development of three dimensional constitutive theories based on lower dimensional experimental data
Satish Karra, K. R. Rajagopal
Most three dimensional constitutive relations that have been developed to describe the behavior of bodies are correlated against one dimensional and two dimensional experiments. Wh…
Degradation and healing in a generalized neo-Hookean solid due to infusion of a fluid
Satish Karra, K. R. Rajagopal
The mechanical response and load bearing capacity of high performance polymer composites changes due to diffusion of a fluid, temperature, oxidation or the extent of the deformatio…
On the vibrations of lumped parameter systems governed by differential-algebraic equations
S. Darbha, K. B. Nakshatrala, K. R. Rajagopal
In this paper, we consider the vibratory motions of lumped parameter systems wherein the components of the system cannot be described by constitutive expressions for the force in t…
A numerical study of fluids with pressure dependent viscosity flowing through a rigid porous medium
K. B. Nakshatrala, K. R. Rajagopal
In this paper we consider modifications to Darcy's equation wherein the drag coefficient is a function of pressure, which is a realistic model for technological applications like e…