5 papers
Dynamic viscoelastic membranes
Martin Kružík, Riccardo Voso
We rigorously derive a dynamic membrane theory for nonlinear viscoelastic solids with Kelvin-Voigt rheology from the corresponding three-dimensional bulk theory, in the limit of va…
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…
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…
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…
Linearization of finite elasticity with surface tension
Martin Kružík, Edoardo Mainini
We propose models in nonlinear elasticity for nonsimple materials that include surface energy terms. Additionally, we also discuss living surface loads on the boundary. We establis…