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math.AP2024
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…
math-ph2024
A general thermodynamical model for finitely-strained continuum with inelasticity and diffusion, its GENERIC derivation in Eulerian formulation, and some application
Alexander Mielke, Tomáš Roubíček
A thermodynamically consistent visco-elastodynamical model at finite strains is derived that also allows for inelasticity (like plasticity or creep), thermal coupling, and poroelas…
math.AP2024
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…