Variational models in nonlinear thermoviscoelasticityCRC 1720: Early Career Seminar

by Lennart Machill

Tuesday Jun 2, 2026, 2:15 PM → 3:15 PM Europe/Berlin

Endenicher Allee 60/1-016 - Lipschitzsaal (Mathezentrum)

We discuss the variational modeling of elastic materials, with
particular emphasis on the principle of frame indifference. We then turn to an evolutionary problem for Kelvin-Voigt-type viscoelastic materials, revisiting this principle in the time-dependent setting. In the presented model, dissipated energy is transformed into heat, and we further consider a thermomechanical coupling with a heat equation. Finally, we motivate, both analytically and numerically, the necessity of a time-discrete frame-indifferent approximation scheme.