54 citations · 64 across the 4 of their papers we have counts for
6 papers
Implicit type constitutive relations for elastic solids and their use in the development of mathematical models for viscoelastic fluids
Vít Průša, K. R. Rajagopal
Viscoelastic fluids are non-Newtonian fluids that exhibit both "viscous" and "elastic" characteristics in virtue of mechanisms to store energy and produce entropy. Usually the ener…
A Thermodynamic Framework for Additive Manufacturing, using Amorphous Polymers, Capable of Predicting Residual Stress, Warpage and Shrinkage
P. Sreejith, K. Kannan, K. R. Rajagopal
A thermodynamic framework has been developed for a class of amorphous polymers used in fused deposition modeling (FDM), in order to predict the residual stresses and the accompanyi…
An implicit constitutive relation in which the stress and the linearized strain appear linearly, for describing the small displacement gradient response of elastic solids
K. R. Rajagopal
In this short note we develop a constitutive relation that is linear in both the Cauchy stress and the linearized strain, by linearizing implicit constitutive relations between the…
Unconditional finite amplitude stability of a viscoelastic fluid in a mechanically isolated vessel with spatially non-uniform wall temperature
Mark Dostalík, Vít Průša, Judith Stein
We investigate finite amplitude stability of spatially inhomogeneous steady state of an incompressible viscoelastic fluid which occupies a mechanically isolated vessel with walls k…
Motion of a finite composite cylindrical annulus comprised of nonlinear elastic solids subject to periodic shear
C. C. Benjamin, M. Myneni, A. Muliana +1
In this paper we study the motion of a finite composite cylindrical annulus made of generalized neo-Hookean solids that is subject to periodic shear loading on the inner boundary.…
On the classification of incompressible fluids and a mathematical analysis of the equations that govern their motion
Jan Blechta, Josef Málek, K. R. Rajagopal
In the first part of the paper we provide a new classification of incompressible fluids characterized by a continuous monotone relation between the velocity gradient and the Cauchy…