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…
cs.CE2026
Deformation gradient averaging regularization for third medium contact
OndÅej Faltus, Marco Amato, Martin Horák
The third medium contact method has recently come into popularity as an alternative to traditional contact methods in contexts where search for contact boundaries is problematic, i…
math-ph2026
Incremental equations in curvature-dependent surface elasticity
Xiang Yu, Michal Šmejkal, Martin Horák
We develop a general incremental framework for hyperelastic solids whose surfaces exhibit both stretch-dependent and curvature-dependent elastic behavior. Building upon a variation…