8 citations · 20 across the 6 of their papers we have counts for
7 papers
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…
The energy scaling behaviour of singular perturbation models of staircase type in linearized elasticity for higher order laminates
Lennart Machill, Angkana Rüland
We investigate the scaling behaviour of a singular perturbation model within the geometrically linearized theory of elasticity involving data of higher lamination order. We study b…
Nonlinear relations of viscous stress and strain rate in nonlinear Viscoelasticity
Lennart Machill
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…
Positive temperature in nonlinear thermoviscoelasticity and the derivation of linearized models
Rufat Badal, Manuel Friedrich, Martin Kružík +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…
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 elast…
One-dimensional viscoelastic von Kármán theories derived from nonlinear thin-walled beams
Manuel Friedrich, Lennart Machill
We derive an effective one-dimensional limit from a three-dimensional Kelvin-Voigt model for viscoelastic thin-walled beams, in which the elastic and the viscous stress tensor comp…
Derivation of a one-dimensional von Kármán theory for viscoelastic ribbons
Manuel Friedrich, Lennart Machill
We consider a two-dimensional model of viscoelastic von Kármán plates in the Kelvin's-Voigt's rheology derived from a three-dimensional model at a finite-strain setting. As the wid…