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math-ph2025
An Eulerian formulation for dissipative materials using Lie derivatives and GENERIC
Alexander Mielke
We recall the systematic formulation of Eulerian mechanics in terms of Lie derivatives along the vector field of the material points. Using the abstract properties of Lie derivativ…
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…