3 papers
math.AP2026
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…
math.AP2025
Homogenization of magnetoelastic materials with rigid magnetic inclusions at small strains
Raffaele Grande, Stefan Krömer, Martin Kružík +1
We investigate a homogenization problem for a linearly elastic magnetic material that incorporates elastically rigid magnetic inclusions firmly bonded to the matrix. By considering…
math.AP2025
The effects of pressure loads in the dimension reduction of elasticity models
Martin Kružík, Filippo Riva
We study the dimensional reduction from three to two dimensions in hyperelastic materials subject to a live load, modeled as a constant pressure force. Our results demonstrate that…