Positive temperature in nonlinear thermoviscoelasticity and the derivation of linearized models
According to the Nernst theorem or, equivalently, the third law of thermodynamics, the
absolute zero temperature is not attainable. Starting with an initial positive temperature, we …
absolute zero temperature is not attainable. Starting with an initial positive temperature, we …
Thermo-elastodynamics of nonlinearly viscous solids
In this paper, we study the thermo-elastodynamics of nonlinearly viscous solids in the Kelvin-
Voigt rheology where both the elastic and the viscous stress tensors comply with the frame …
Voigt rheology where both the elastic and the viscous stress tensors comply with the frame …
Nonlinear relations of viscous stress and strain rate in nonlinear Viscoelasticity
L Machill - arXiv preprint arXiv:2409.11882, 2024 - arxiv.org
We consider a Kelvin-Voigt model for viscoelastic second-grade materials, where the elastic
and the viscous stress tensor both satisfy frame indifference. Using a rigidity estimate by …
and the viscous stress tensor both satisfy frame indifference. Using a rigidity estimate by …