3 papers
math.AP2025
On the existence of extensions for manifold-valued Sobolev maps on perforated domains
Chiara Gavioli, Leon Happ, Valerio Pagliari
Motivated by manifold-constrained homogenization problems, we construct suitable extensions for Sobolev functions defined on a perforated domain and taking values in a compact, con…
math.AP2024
Homogenization of high-contrast media in finite-strain elastoplasticity
Elisa Davoli, Chiara Gavioli, Valerio Pagliari
This work is devoted to the analysis of the interplay between internal variables and high-contrast microstructure in inelastic solids. As a concrete case-study, by means of variati…
math.AP2024
A homogenization result in finite plasticity
Elisa Davoli, Chiara Gavioli, Valerio Pagliari
We carry out a variational study for integral functionals that model the stored energy of a heterogeneous material governed by finite-strain elastoplasticity with hardening. Assumi…