11 citations · 23 across the 8 of their papers we have counts for
12 papers
A few notes about viscoplastic rheologies
Tomáš Roubíček
The rigorous tools of convex analysis are used to examine various serial and parallel combinations of linear viscosity and perfect plasticity. Nonlinear viscosities are also consid…
Thermo-elastodynamics of finitely-strained multipolar viscous solids with an energy-controlled stress
Tomáš Roubíček
The thermodynamical model of viscoelastic deformable solids at finite strains with Kelvin-Voigt rheology with a higher-order viscosity (using the concept of multipolar materials) i…
Optimal control of flows of viscoelastic semi-compressible fluids
Tomáš Roubíček
Semilinear parabolic systems with bi-linear nonlinearities cover a lot of applications and their optimal control leads to relatively simple optimality conditions. An example is the…
Quasistatic hypoplasticity at large strains Eulerian
Tomáš Roubíček
The isothermal quasistatic (i.e.\ acceleration neglected) hardening-free plasticity at large strains is considered, based on the standard multiplicative decomposition of the total…
Thermodynamically consistent model for poroelastic rocks towards tectonic and volcanic processes and earthquakes
Tomáš Roubíček
A general-purpose model combining concepts from rational continuum mechanics, fracture and damage mechanics, plasticity, and poromechanics is devised in Eulerian coordinates, invol…
Visco-elastodynamics at large strains Eulerian
Tomáš Roubíček
Isothermal visco-elastodynamics in the Kelvin-Voigt rheology is formulated in the spatial Eulerian coordinates in terms of velocity and deformation gradient. A generally nonconvex…
Fine metrizable convex relaxations of parabolic optimal control problems
Tomáš Roubíček
Nonconvex optimal-control problems governed by evolution problems in infinite-dimensional spaces (as e.g. parabolic boundary-value problems) needs a continuous (and possibly also s…
Coupled time discretisation of dynamic damage models at small strains
Tomáš Roubíček
The dynamic damage model in viscoelastic materials in Kelvin-Voigt rheology is discretised by a scheme which is coupled, suppresses spurious numerical attenuation during vibrations…
From quasi-incompressible to semi-compressible fluids
Tomáš Roubíček
A new concept of semi-compressible fluids is introduced for slightly compressible visco-elastic fluids (typically rather liquids than gasses) where mass density variations are negl…
A monolithic model for phase-field fracture and waves in solid-fluid media towards earthquakes
Tomáš Roubíček, Roman Vodička
Coupling of rupture processes in solids with waves also propagating in fluids is a prominent phenomenon arising during tectonic earthquakes. It is executed here in a single `monoli…
A general thermodynamical model for adhesive frictional contacts between viscoelastic or poro-viscoelastic bodies at small strains
Tomáš Roubíček
A general model covering a large variety of the so-called adhesive or cohesive, possibly also frictional, contact interfaces between visco-elastic bodies with inertia considered in…
Cahn-Hilliard equation with capillarity in actual deforming configurations
Tomáš Roubíček
The diffusion driven by the gradient of the chemical potential (by the Fick/Darcy law) in deforming continua at large strains is formulated in the reference configuration with both…