3 papers
math.AP2026
Asymptotic analysis for heterogeneous elastic energies with material voids
Stefano Almi, Antonio Flavio Donnarumma, Manuel Friedrich
We study the effective behavior of heterogeneous energies arising in the modeling of material voids in geometrically linear elastic materials. Specifically, we consider functionals…
math.AP2024
-convergence and stochastic homogenization of second order singular perturbation models for phase transitions
Antonio Flavio Donnarumma
We study the effective behavior of random, heterogeneous, anisotropic, second order phase transitions energies that arise in the study of pattern formations in physical-chemical sy…
math.AP2023
Stochastic homogenisation for functionals defined on asymptotically piecewise rigid functions
Antonio Flavio Donnarumma, Manuel Friedrich
We study stochastic homogenisation of free-discontinuity surface functionals defined on piecewise rigid functions which arise in the study of fracture in brittle materials. In part…