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20092024
most citedOn Maxwell fluid with relaxation time and viscosity depending on the pressure

55 citations · 185 across the 11 of their papers we have counts for

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7 papers · 1 filter

math.NA2022★ 23 cited

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…

math.NA2010★ 15 cited

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…

math.NA2010★ 55 cited

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…

math.NA2010★ 13 cited

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…

math.NA2010★ 28 cited

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…

math.NA2009

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…

math.NA2009

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…