11 citations · 27 across the 29 of their papers we have counts for
7 papers · 1 filter
Geometric rigidity for incompatible fields in the multi-well case and an application to strain-gradient plasticity
Stefano Almi, Dario Reggiani, Francesco Solombrino
We derive a quantitative rigidity estimate for a multi-well problem in nonlinear elasticity with dislocations. Precisely, we show that the -distance of a possibly incomp…
A new example for the Lavrentiev phenomenon in Nonlinear Elasticity
Stefano Almi, Stefan Krömer, Anastasia Molchanova
We present a new example for the Lavrentiev phenomenon in context of nonlinear elasticity, caused by an interplay of the elastic energy's resistance to infinite compression and the…
Phase-field topology optimization with periodic microstructure
Stefano Almi, Ulisse Stefanelli
Progresses in additive manufacturing technologies allow the realization of finely graded microstructured materials with tunable mechanical properties. This paves the way to a wealt…
Geometric rigidity on Sobolev spaces with variable exponent and applications
Stefano Almi, Maicol Caponi, Manuel Friedrich +1
We present extensions of rigidity estimates and of Korn's inequality to the setting of (mixed) variable exponents growth. The proof techniques, based on a classical covering argume…
Generalized bounded deformation in non-Euclidean settings
Stefano Almi, Emanuele Tasso
We introduce a new space of generalized functions of bounded deformation , made of functions u whose one-dimensional slice has bounded variation in a ge…
Optimal control problems in transport dynamics with additive noise
Stefano Almi, Marco Morandotti, Francesco Solombrino
Motivated by the applications, a class of optimal control problems is investigated, where the goal is to influence the behavior of a given population through another controlled one…
Lower semicontinuity and relaxation for free discontinuity functionals with non-standard growth
Stefano Almi, Dario Reggiani, Francesco Solombrino
A lower semicontinuity result and a relaxation formula for free discontinuity functionals with non-standard growth in the bulk energy are provided. Our analysis is based on a non-t…