49 citations · 130 across the 19 of their papers we have counts for
6 papers · 1 filter
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…
Models of dynamic damage and phase-field fracture, and their various time discretisations
Tomáš Roubíček
Several variants of models of damage in viscoelastic continua under small strains in the Kelvin-Voigt rheology are presented and analyzed by using the Galerkin method. The particul…
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…
Explicit time-discretisation of elastodynamics with some inelastic processes at small strains
Tomas Roubicek, Christos Panagiotopoulos, Chrysoula Tsogka
The 2-step staggered (also called leap-frog) time discretisation of linear 2nd-order Hamiltonian systems (typically linear elastodynamics in a stress-velocity form) is extended for…
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-…