Some gradient theories in linear visco-elastodynamics towards dispersion and attenuation of waves in relation to large-strain models

T Roubíček - Acta Mechanica, 2024 - Springer
Various spatial-gradient extensions of standard viscoelastic rheologies of the Kelvin–Voigt,
Maxwell's, and Jeffreys' types are analysed in linear one-dimensional situations as far as the …

From quasi-incompressible to semi-compressible fluids

T Roubíček - arxiv preprint arxiv:2004.07344, 2020 - arxiv.org
A new concept of semi-compressible fluids is introduced for slightly compressible visco-
elastic fluids (typically rather liquids than gasses) where mass density variations are …

The Stefan problem in a thermomechanical context with fracture and fluid flow

T Roubíček - Mathematical Methods in the Applied Sciences, 2023 - Wiley Online Library
The classical Stefan problem, concerning mere heat‐transfer during solid‐liquid phase
transition, is here enhanced towards mechanical effects. The Eulerian description at large …

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

T Roubíček, G Tomassetti - Continuum Mechanics and Thermodynamics, 2021 - Springer
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 like …