4 papers · 1 filter
Frame-indifferent discretization in nonlinear thermoviscoelasticity: Analysis and numerical simulations
Rufat Badal, Manuel Friedrich, Martin Horák +2
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…
Derivation of a von Kármán plate theory for thermoviscoelastic solids
Rufat Badal, Manuel Friedrich, Lennart Machill
We derive a von Kármán plate theory from a three-dimensional quasistatic nonlinear model for nonsimple thermoviscoelastic materials in the Kelvin-Voigt rheology, in which the ela…
Thermo-elastodynamics of nonlinearly viscous solids
S. Almi, R. Badal, M. Friedrich +1
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 f…
Positive temperature in nonlinear thermoviscoelasticity and the derivation of linearized models
Rufat Badal, Manuel Friedrich, Martin KružÃk +1
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, w…