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20192025
most citedQuasistatic hypoplasticity at large strains Eulerian

11 citations · 23 across the 8 of their papers we have counts for

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7 papers · 1 filter

math.AP2024

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…

math.AP2021

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…

math.AP2021★ 11 cited

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…

math.AP2021★ 1 cited

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…

math.AP2020

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…

math.AP2019

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…

math.AP2019

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…