5 papers · 1 filter
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…
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…
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…
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…
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…