7 papers · 1 filter
-convergence and -convergence in the Riesz fractional setting: the nonlinear case
Giuseppe C. Brusca, Maicol Caponi, Alessandro Carbotti +2
This paper concerns the -convergence of nonlinear nonlocal monotone operators defined through the Riesz fractional gradient and divergence. We show that the -convergence in t…
Riesz fractional gradient functionals defined on partitions: nonlocal-to-local variational limits
Stefano Almi, Maicol Caponi, Manuel Friedrich +1
This paper addresses the asymptotics of functionals with linear growth depending on the Riesz -fractional gradient on piecewise constant functions. We consider a general class o…
A Survey on the Div-Curl Lemma and Some Extensions to Fractional Sobolev Spaces
Maicol Caponi
This survey is a chapter of a forthcoming book. This chapter recalls the classical formulation of the Div-Curl lemma along with its proof, and presents some possible generalization…
-compactness for nonlocal linear operators in fractional divergence form
Maicol Caponi, Alessandro Carbotti, Alberto Maione
We study the -convergence of nonlocal linear operators in fractional divergence form, where the oscillations of the matrices are prescribed outside the reference domain. Our com…
A fractional approach to strain-gradient plasticity: beyond core-radius of discrete dislocations
Stefano Almi, Maicol Caponi, Manuel Friedrich +1
We derive a strain-gradient theory for plasticity as the -limit of discrete dislocation fractional energies, without the introduction of a core-radius. By using the finite horiz…
A rate-independent model for geomaterials under compression coupling strain gradient plasticity and damage
Maicol Caponi, Vito Crismale
We study a strain gradient-enhanced version of a model for geomaterials under compression by Marigo and Kazymyrenko (2019) coupling damage and small-strain associative plasticity.…