17 citations · 30 across the 14 of their papers we have counts for
15 papers
The Stefan problem for complete melting of finitely strained solids into viscoelastic fluids
Tomáš Roubíček
The compressible fluid-solid interaction (FSI) with a thermomechanical phase transition is formulated at large strains within the Eulerian frame. For the deviatoric part, the Jeffr…
Staggered time discretization in finitely-strained heterogeneous visco-elastodynamics with damage or diffusion in the Eulerian frame
Tomáš Roubíček
The semi-implicit (partly decoupled, also called staggered or fraction-step) time discretization is applied to compressible nonlinear dynamical models of viscoelastic solids in the…
Time discretization in convected linearized thermo-visco-elastodynamics at large displacements
Tomáš Roubíček
The fully-implicit time discretization (i.e. the backward Euler formula) is applied to compressible nonlinear dynamical models of thermo-viscoelastic solids in the Eulerian descrip…
Time discretization in visco-elastodynamics at large displacements and strains in the Eulerian frame
Tomáš Roubíček
The fully-implicit time discretization (i.e. the backward Euler formula) is applied to compressible nonlinear dynamical models of viscoelastic solids in the Eulerian description, i…
A general thermodynamical model for finitely-strained continuum with inelasticity and diffusion, its GENERIC derivation in Eulerian formulation, and some application
Alexander Mielke, Tomáš Roubíček
A thermodynamically consistent visco-elastodynamical model at finite strains is derived that also allows for inelasticity (like plasticity or creep), thermal coupling, and poroelas…
Modelling of planetary accretion and core-mantle structure formation
Tomas Roubicek, Ulisse Stefanelli
We advance a thermodynamically consistent model of self-gravitational accretion and differentiation in planets. The system is modeled in actual variables as a compressible thermovi…
Some gradient theories in linear visco-elastodynamics towards dispersion and attenuation of waves in relation to large-strain models
Tomáš Roubíček
Various spatial-gradient extensions of standard viscoelastic rheologies of the Kelvin-Voigt, Maxwell's, and Jeffreys' types are analyzed in linear one-dimensional situations as far…
Thermomechanics of ferri-antiferromagnetic phase transition in finitely-strained rocks towards paleomagnetism
Tomáš Roubíček
The thermodynamic model of visco-elastic deformable magnetic materials at finite strains is formulated in a fully Eulerian way in rates with the aim to describe thermoremanent pale…
Landau theory for ferro-paramagnetic phase transition in finitely-strained viscoelastic magnets
Tomáš Roubíček
The thermodynamic model of visco-elastic deformable magnetic materials at finite strains is formulated in a fully Eulerian way in rates. The Landau theory applies for ferro-to-para…
Qualitative study of a geodynamical rate-and-state model for elastoplastic shear flows in crustal faults
Alexander Mielke, Tomáš Roubíček
The Dieterich-Ruina rate-and-state friction model is transferred to a bulk variant and the state variable (aging) influencing the dissipation mechanism is here combined also with a…
Interaction of finitely-strained viscoelastic multipolar solids and fluids by an Eulerian approach
Tomáš Roubíček
A mechanical interaction of compressible viscoelastic fluids with viscoelastic solids in Kelvin-Voigt rheology using the concept of higher-order (so-called 2nd-grade multipolar) vi…
Thermodynamics of viscoelastic solids, its Eulerian formulation, and existence of weak solutions
Tomáš Roubíček
The thermodynamical model of visco-elastic deformable solids at finite strains is formulated in a fully Eulerian way in rates. Also effects of thermal expansion or buoyancy due to…
The Stefan problem in a thermomechanical context with fracture and fluid flow
Tomáš Roubíček
The classical Stefan problem, concerning mere heat-transfer during solid-liquid phase transition, is here enhanced towards mechanical effects. The Eulerian description at large dis…
A simple and efficient BEM implementation of quasistatic linear visco-elasticity
C. G. Panagiotopoulos, V. Mantic, T. Roubicek
A simple, yet efficient procedure to solve quasistatic problems of special linear visco-elastic solids at small strains with equal rheological response in all tensorial components,…
BEM solution of delamination problems using an interface damage and plasticity model
C. G. Panagiotopoulos, V. Mantic, T. Roubicek
The problem of quasistatic and rate-independent evolution of elastic-plastic-brittle delamination at small strains is considered. Delamination processes for linear elastic bodies g…