4 papers
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…