17 citations · 30 across the 14 of their papers we have counts for
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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…
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…
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…
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…