Keywords:
- Analytical solutions
- Bar-and-hinge models
- biaxial extension
- Burgers fluid
- Colombeau algebra
- conformation hysteresis
- constitutive modelling
- constitutive relations
- Convected coordinates
- Couette flow
- Crack tip
- creep
- Cutout
- Cylindrical Couette flow
- Deviatoric strain
- Elasticity
- electrorheological fluids
- Euler--Bernoulli beam theory
- Exact solution
- experimental data
- experimental error
- Extended boussinesq approximation
- eye
- falling cylinder viscometer
- fluid structure interaction
- Gibbs free energy
- Gibbs potential
- Giesekus fluid
- global-in-time existence
- Hagen–Poiseuille flow
- Heat generation
- Hencky strain
- implicit constitutive relations
- Implicit constitutive theory
- Incompressible fluid
- jump coditions
- jump discontinuities
- Large deformation
- Light activated shape memory polymers
- Lyapunov function
- Lyapunov functional
- Maxwell fluid
- mean normal stress
- Navier slip boundary condition
- Navier-Stokes fluid
- Navier-Stokes-Fourier system
- no-slip boundary condition
- non-Newtonian fluid
- non-Newtonian fluids
- Non-rigid origami structures
- nonlinear elasticity
- Normal stress differences
- numerical simulation
- Oberbeck--Boussinesq approximation
- Oldroyd-B fluid
- ordinary differential equations
- piezoviscous fluid
- Poiseuille flow
- Power-law fluids
- pressure
- pressure dependent material moduli
- pressure dependent viscosity
- Pressure-dependent viscosity
- second grade fluid
- small strain
- solids
- spectral collocation
- spectral collocation method
- squeeze flow
- stability
- Stokes first problem
- Stokes second problem
- Stokes’ second problem
- stress dependent material moduli
- stress diffusion
- Stress power-law fluids
- stress relaxation
- stress-diffusion
- surface load
- surface tension
- temperature dependent material coefficients
- Thermal convection
- thermal expansivity
- thermodynamic pressure
- thermodynamics
- viscoelastic fluid
- viscoelastic fluids
- viscoelastic materials
- viscoelastic solid
- viscoelasticity
- weak solution
- Weakly nonlinear analysis
- \\ temperature-dependent material moduli
Publications of Průša, Vít
2021
| and , Implicit type constitutive relations for elastic solids and their use in the development of mathematical models for viscoelastic fluids (2021), in: Fluids, 6:3 |
[DOI] |
| , , and , On incompressible heat-conducting viscoelastic rate-type fluids with stress-diffusion and purely spherical elastic response (2021), in: SIAM J. Math. Anal., 53:4(3985--4030) |
[DOI] |
| and , Temperature field and heat generation at the tip of a cutout in a viscoelastic solid body undergoing loading (2021), in: Applications in Engineering Science, 6(100054) |
[DOI] [URL] |
| , and , Unconditional finite amplitude stability of a fluid in a mechanically isolated vessel with spatially non-uniform wall temperature (2021), in: Continuum Mechanics and Thermodynamics, 33(515–543) |
[DOI] |
| , and , Weakly nonlinear analysis of Rayleigh–Bénard convection problem in extended Boussinesq approximation (2021), in: Applied Mathematics and Computation, 408(126374) |
[DOI] [URL] |
2020
| , , and , A simple construction of a thermodynamically consistent mathematical model for non-isothermal flows of dilute compressible polymeric fluids (2020), in: Fluids, 5:3(133) |
[DOI] |
| and , A thermodynamic basis for implicit rate-type constitutive relations describing the inelastic response of solids undergoing finite deformation (2020), in: Mathematics and Mechanics of Solids, 25:12(2222-2230) |
[DOI] |
| and , Computer modelling of origami-like structures made of light activated shape memory polymers (2020), in: International Journal of Engineering Science, 150(103235) |
[DOI] |
| , and , Gibbs free energy based representation formula within the context of implicit constitutive relations for elastic solids (2020), in: International Journal of Non-Linear Mechanics, 121(103433) |
[DOI] |
2019
| , and , Finite amplitude stability of internal steady flows of the Giesekus viscoelastic rate-type Fluid (2019), in: Entropy, 21:12(1219) |
[DOI] |
| , , and , 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 (2019), in: Acta Mechanica, 230:3(729-747) |
[DOI] |
| , and , On diffusive variants of some classical viscoelastic rate-type models (2019), in: AIP Conference Proceedings, 2107(020002) |
[DOI] |
| , and , Thermodynamics and stability of non-equilibrium steady states in open systems (2019), in: Entropy, 21:7(704) |
[DOI] |
2018
| and , A new class of models to describe the response of electrorheological and other field dependent fluids, in: Generalized models and non-classical approaches in complex materials 1, Springer, 2018 |
[DOI] |
| , , and , Motion of the vitreous humour in a deforming eye–fluid-structure interaction between a nonlinear elastic solid and viscoleastic fluid (2018), in: Applied Mathematics and Computation, 335(50-64) |
[DOI] |
| , , and , Thermodynamics of viscoelastic rate-type fluids with stress diffusion (2018), in: Physics of Fluids, 30:2 |
[DOI] |
2017
| , and , Colombeau algebra as a mathematical tool for investigating step load and step deformation of systems of nonlinear springs and dashpots (2017), in: Zeitschrift für angewandte Mathematik und Physik, 68:24 |
[DOI] |
| , On the response of physical systems governed by nonlinear ordinary differential equations to step input, 2017 |
[URL] |
| , , , and , On thermodynamics of incompressible viscoelastic rate type fluids with temperature dependent material coefficients (2017), in: International Journal of Non-Linear Mechanics, 95(193–208) |
[DOI] |
| , , and , PDE analysis of a class of thermodynamically compatible viscoelastic rate-type fluids with stress-diffusion (2017), in: Contemporary Mathematics, American Mathematical Society |
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| and , Viscoelastic rate type fluids with temperature dependent material parameters – stability of the rest state (2017), in: AIP Conf. Proc., 1843(020004) |
[DOI] |
2016
| and , Derivation of Equations for Continuum Mechanics and Thermodynamics of Fluids, in: Handbook of Mathematical Analysis in Mechanics of Viscous Fluids, Springer International Publishing, 2016 |
[DOI] |
| , and , Euler–Bernoulli type beam theory for elastic bodies with nonlinear response in the small strain range (2016), in: Archives of Mechanics, 68:1(3-25) |
[URL] |
| , and , On the response of nonlinear viscoelastic materials in creep and stress relaxation experiments in the lubricated squeeze flow setting (2016), in: Physics of Fluids, 28:10(103102) |
[DOI] |
| and , On the response of physical systems governed by non-linear ordinary differential equations to step input (2016), in: International Journal of Non-Linear Mechanics, 81(207–221) |
[DOI] |
| and , Squeeze flow of a piezoviscous fluid (2016), in: Applied Mathematics and Computation, 274(414–429) |
[DOI] |
2015
| and , Perspectives on using implicit type constitutive relations in the modelling of the behaviour of non-Newtonian fluids (2015), in: AIP Conf. Proc., 1662(020003) |
[DOI] |
| and , Tensorial implicit constitutive relations in mechanics of incompressible non-Newtonian fluids (2015), in: Journal of non-Newtonian Fluid Mechanics, 216(13–21) |
[DOI] |
| , , and , Vibrations of a lumped parameter mass-spring-dashpot system wherein the spring is described by a non-invertible elongation-force constitutive function (2015), in: International Journal of Non-Linear Mechanics, 76(154–163) |
[DOI] |
2014
| , , and , On the natural structure of thermodynamic potentials and fluxes in the theory of chemically non-reacting binary mixtures (2014), in: Acta Mechanica, 225:11(3157-3186) |
[DOI] |
| , Tensorial implicit constitutive relations in mechanics of incompressible non-Newtonian fluids, 2014 |
[URL] |
| and , The motion of a piezoviscous fluid under a surface load (2014), in: International Journal of Non-Linear Mechanics, 60:4(23-32) |
[DOI] |
2013
| and , A note on the modeling of incompressible fluids with material moduli dependent on the mean normal stress (2013), in: International Journal of Non-Linear Mechanics, 52:41-45 |
[DOI] |
| , and , Fidelity of the estimation of the deformation gradient from data deduced from the motion of markers placed on a body that is subject to an inhomogeneous deformation field (2013), in: Journal of Biomechanical Engineering, 135:8 |
[DOI] |
| and , On models for viscoelastic materials that are mechanically incompressible and thermally compressible or expansible and their Oberbeck–Boussinesq type approximations (2013), in: Mathematical Models and Methods in Applied Sciences, 23:10(1761--1794) |
[DOI] |
2012
| and , Flow of an electrorheological fluid between eccentric rotating cylinders (2012), in: Theoretical and Computational Fluid Dynamics, 26:1-4(1-21) |
[DOI] |
| and , On implicit constitutive relations for materials with fading memory (2012), in: Journal of Non-Newtonian Fluid Mechanics, 181–182(22-29) |
[DOI] [URL] |
| , and , Role of pressure dependent viscosity in measurements with falling cylinder viscometer (2012), in: International Journal of Non-Linear Mechanics, 47:7(743–750) |
[DOI] |
2011
| and , A note on the decay of vortices in a viscous fluid (2011), in: Meccanica, 46:4(875-880) |
[DOI] [URL] |
| , , and , Further remarks on simple flows of fluids with pressure dependent viscosities (2011), in: Nonlinear Analysis: Real World Applications, 12:1(394-402) |
[DOI] [URL] |
| and , Jump Conditions in Stress Relaxation and Creep Experiments of Burgers Type Fluids-A Study in the Application of Colombeau Algebra of Generalized Functions (2011), in: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 62:4(707–740) |
[DOI] [URL] |
| , and , On Maxwell fluid with relaxation time and viscosity depending on the pressure (2011), in: International Journal of Non-Linear Mechanics, 46:6(819-827) |
[DOI] [URL] |
2010
| , and , Generalizations of the Navier--Stokes fluid from a new perspective (2010), in: International Journal of Engineering Science, 48:12(1907-1924) |
[DOI] [URL] |
| , Revisiting Stokes first and second problems for fluids with pressure dependent viscosities (2010), in: International Journal of Engineering Science, 48:12(2054-2065) |
[DOI] [URL] |
2009
| , On the influence of boundary condition on stability of Hagen-Poiseuille flow (2009), in: Computers & Mathematics with Applications, 57:5(763--771) |
[URL] |