most citedVariational models with Eulerian-Lagrangian formulation allowing for material failure

9 citations · 13 across the 6 of their papers we have counts for

collaborators

6 papers

math.AP2025

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…

math.AP2025

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…

math.AP2025

Anisotropic energies for the modeling of cavitation in nonlinear elasticity

Marco Bresciani

We study free-discontinuity functionals in nonlinear elasticity, where discontinuities correspond to the phenomenon of cavitation. The energy comprises two terms: a volume term acc…

math.AP2024★ 3 cited

Quasistatic evolution of Orlicz-Sobolev nematic elastomers

Marco Bresciani, Bianca Stroffolini

We investigate the variational model for nematic elastomer proposed by Barchiesi and DeSimone with the director field defined on the deformed configuration under general growth con…

math.AP2024★ 1 cited

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…

math.AP2024★ 9 cited

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…