6 papers
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…
Dynamics of charged elastic bodies under diffusion at large strains
Tomas Roubicek, Giuseppe Tomassetti
We present a model for the dynamics of elastic or poroelastic bodies with monopolar repulsive long-range (electrostatic) interactions at large strains. Our model respects (only) lo…
Quasistatic viscoelasticity with self-contact at large strains
Stefan Krömer, Tomáš Roubiček
The frame-indifferent viscoelasticity in Kelvin-Voigt rheology at large strains is formulated in the reference configuration (i.e. using the Lagrangian approach) considering also t…
Dynamic perfect plasticity and damage in viscoelastic solids
Elisa Davoli, Tomáš Roubíček, Ulisse Stefanelli
In this paper we analyze an isothermal and isotropic model for viscoelastic media combining linearized perfect plasticity (allowing for concentration of plastic strain and developm…
Thermoviscoelasticity in Kelvin-Voigt rheology at large strains
Alexander Mielke, Tomáš Roubíček
The frame-indifferent thermodynamically-consistent model of thermoviscoelasticity at large strain is formulated in the reference configuration with using the concept of the second-…
Variational methods for steady-state Darcy/Fick flow in swollen and poroelastic solids
Tomáš Roubíček
Existence of steady states in elastic media at small strains with diffusion of a solvent or fluid due to Fick's or Darcy's laws is proved by combining usage of variational methods…