21 citations · 27 across the 8 of their papers we have counts for
8 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…
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 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…
Existence of quasi-static crack evolution for atomistic systems
Rufat Badal, Manuel Friedrich, Joscha Seutter
We consider atomistic systems consisting of interacting particles arranged in atomic lattices whose quasi-static evolution is driven by time-dependent boundary conditions. The inte…
Renormalized energy between fractional vortices with topologically induced free discontinuities on 2-dimensional Riemannian manifolds
Rufat Badal, Marco Cicalese
On a two-dimensional Riemannian manifold without boundary we consider the variational limit of a family of functionals given by the sum of two terms: a Ginzburg-Landau and a perime…
Nonlinear and Linearized Models in Thermoviscoelasticity
Rufat Badal, Manuel Friedrich, Martin Kružík
We consider a quasistatic nonlinear model in thermoviscoelasticity at a finite-strain setting in the Kelvin-Voigt rheology where both the elastic and viscous stress tensors comply…
Curve-shortening flow of open, elastic curves in with repelling endpoints: A minimizing movement approach
Rufat Badal
We study an -type gradient flow of an immersed elastic curve in whose endpoints repel each other via a Coulomb potential. By De Giorgi's minimizing movement…