Keywords:
- biaxial extension
- Burgers fluid
- Colombeau algebra
- Couette flow
- Crack tip
- creep
- Cutout
- Deviatoric strain
- Elasticity
- eye
- finite element method
- fluid structure interaction
- Gibbs free energy
- Giesekus fluid
- Heat generation
- Hencky strain
- implicit constitutive relations
- Large deformation
- Lyapunov functional
- Maxwell fluid
- Micromorphic regularization
- nonlinear elasticity
- numerical simulation
- Oldroyd-B fluid
- Phase transformation
- Rate type fluid
- Softening
- squeeze flow
- stability
- Strain localization
- stress relaxation
- temperature dependent material coefficients
- thermodynamics
- viscoelastic fluids
- viscoelastic solid
- viscoelasticity
Publications of Tůma, Karel
2021
| 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] |
2020
| , 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 , Gradient-enhanced thermomechanical 3D model for simulation of transformation patterns in pseudoelastic shape memory alloys (2019), in: International Journal of Plasticity |
[DOI] [URL] |
2018
| , and , Derivation of the variants of the Burgers model using a thermodynamic approach and appealing to the concept of evolving natural configurations (2018), in: Fluids, 3:4 |
[DOI] [URL] |
| , , 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 , Rate-independent dissipation in phase-field modelling of displacive transformations (2018), in: J. Mech. Phys. Solids, 114(117-142) |
[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] |
| , , , 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] |
2016
| , and , A thermodynamically compatible model for describing asphalt binders: solutions of problems (2016), in: International Journal of Pavement Engineering, 17:6(550-564) |
[DOI] |
| , 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] |
2015
| , and , A thermodynamically compatible model for describing the response of asphalt binders (2015), in: International Journal of Pavement Engineering, 16:4(297-314) |
[DOI] |
| , and , On a variant of the Maxwell and Oldroyd-B models within the context of a thermodynamic basis (2015), in: International Journal of Non-Linear Mechanics, 76(42--47) |
[DOI] |
2014
| , and , Flow of a Burgers fluid due to time varying loads on deforming boundaries (2014), in: Journal of Non-Newtonian Fluid Mechanics, 210(66--77) |
[DOI] |
2013
2012
| , , , and , A Thermodynamically Compatible Rate Type Fluid to Describe the Response of Asphalt (2012), in: Mathematics and Computers in Simulation, 82:10(1853--1873) |
[DOI] [URL] |