9 citations · 10 across the 7 of their papers we have counts for
7 papers
Structured deformations for energies with general surface terms
Davide Donati, Manuel Friedrich
We develop a variational theory of structured deformations for energies whose surface densities satisfy general growth conditions. This requires a formulation in the generalised sp…
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…
A variational approach to the emergence of domain structures in magnetostrictive solids
Marco Bresciani, Manuel Friedrich
We consider a variational model for magnetoelastic solids in the large-strain setting with the magnetization field defined on the unknown deformed configuration. Through a simultan…
Core-radius approximation of singular minimizers in nonlinear elasticity
Marco Bresciani, Manuel Friedrich
We study a variational model in nonlinear elasticity allowing for cavitation which penalizes both the volume and the perimeter of the cavities. Specifically, we investigate the app…
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…
Quasistatic growth of cavities and cracks in the plane
Marco Bresciani, Manuel Friedrich
We propose a model for quasistatic growth of cavities and cracks in two-dimensional nonlinear elasticity. Cavities and cracks are modeled as discrete and compact subsets of a plana…
Variational models with Eulerian-Lagrangian formulation allowing for material failure
Marco Bresciani, Manuel Friedrich, Carlos Mora-Corral
We investigate the existence of minimizers of variational models with Eulerian-Lagrangian formulations. We consider energy functionals depending on the deformation of a body, defin…