5 citations · 5 across the 1 of their papers we have counts for
8 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…
Temperature field and heat generation at the tip of a cutout in a viscoelastic solid body undergoing loading
Vít Průša, Karel Tůma
Using the finite element method we quantitatively analyse temperature field evolution in a viscoelastic solid undergoing a loading--unloading process. In particular we investigate…
On incompressible heat-conducting viscoelastic rate-type fluids with stress-diffusion and purely spherical elastic response
Miroslav Bulíček, Josef Málek, Vít Průša +1
We prove the existence of large-data global-in-time weak solutions to an evolutionary PDE system describing flows of incompressible \emph{heat-conducting} viscoelastic rate-type fl…
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…
A thermodynamic basis for implicit rate-type constitutive relations describing the inelastic response of solids undergoing finite deformation
David Cichra, Vít Průša
Implicit rate-type constitutive relations utilizing discontinuous functions provide a novel approach to the purely phenomenological description of the inelastic response of solids…
Numerical scheme for simulation of transient flows of non-Newtonian fluids characterised by a non-monotone relation between the symmetric part of the velocity gradient and the Cauchy stress tensor
Adam Janečka, Josef Málek, Vít Průša +1
We propose a numerical scheme for simulation of transient flows of incompressible non-Newtonian fluids characterised by a non-monotone relation between the symmetric part of the ve…