activity
20102023
most citedThermoviscoelasticity in Kelvin-Voigt rheology at large strains

49 citations · 130 across the 19 of their papers we have counts for

collaborators

31 papers

math.AP2023★ 1 cited

A model of gravitational differentiation of compressible self-gravitating planets

Alexander Mielke, Tomas Roubicek, Ulisse Stefanelli

We present a dynamic model for inhomogeneous viscoelastic media at finite strains. The model features a Kelvin-Voigt rheology, and includes a self-generated gravitational field in…

math.AP2023★ 1 cited

Inhomogeneous finitely-strained thermoplasticity with hardening by an Eulerian approach

Tomáš Roubíček, Giuseppe Tomassetti

A standard elasto-plasto-dynamic model at finite strains based on the Lie-Liu-Kröner multiplicative decomposition, formulated in rates, is here enhanced to cope with spatially inho…

math.AP2022★ 1 cited

Viscoelastodynamics of swelling porous solids at large strains by an Eulerian approach

Tomas Roubicek, Ulisse Stefanelli

A model of saturated hyperelastic porous solids at large strains is formulated and analysed. The material response is assumed to be of a viscoelastic Kelvin-Voigt type and inertial…

math.AP2021★ 6 cited

A convective model for poro-elastodynamics with damage and fluid flow towards Earth lithosphere modelling

Tomáš Roubíček, Giuseppe Tomassetti

Devised towards geophysical applications for various processes in the lithosphere or the crust, a model of poro-elastodynamics with inelastic strains and other internal variables l…

math.AP2021★ 7 cited

A thermodynamical model for paleomagnetism in Earth's crust

Tomáš Roubíček

A thermodynamically consistent model for soft deformable viscoelastic magnets is formulated in actual space (Eulerian) coordinates. The possibility of a ferro-paramagnetic-type (or…

math.NA2020

Staggered explicit-implicit time-discretization for elastodynamics with dissipative internal variables

Tomáš Roubíček, Chrysoula Tsogka

An extension of the two-step staggered time discretization of linear elastodynamics in stress-velocity form to systems involving internal variables subjected to a possibly non-line…