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arXiv · 2604.27923

Frame-indifferent discretization in nonlinear thermoviscoelasticity: Analysis and numerical simulations

Rufat Badal·Manuel Friedrich·Martin Horák·Martin Kružík·Lennart Machill
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Abstract

We consider a quasi-static nonlinear model in thermoviscoelasticity at a finite-strain setting in the Kelvin-Voigt rheology where both the elastic and viscous stress tensors comply with the principle of frame indifference under rotations. We refine the discretization schemes in [Badal-Friedrich-Kru\v{z}\'ik '23, Mielke-Roub\'{\i}\v{c}ek '20] by imposing frame indifference already at a time-discrete level. This is justified both analytically and numerically.

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Rufat Badal, Manuel Friedrich, Martin Horák, Martin Kružík, Lennart Machill. 2026-04-30. Frame-indifferent discretization in nonlinear thermoviscoelasticity: Analysis and numerical simulations. https://arxiv.org/abs/2604.27923

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