13 citations · 56 across the 16 of their papers we have counts for
18 papers
Stability under lamination and polycrystalline effective conductivity
Nathan Albin, Vincenzo Nesi, Mariapia Palombaro
We prove the stability under lamination of a set of real, symmetric 33 matrices that can be viewed as a subset of the effective conductivities of a polycrystal. Constructed…
Differential inclusions and polycrystals
Nathan Albin, Vincenzo Nesi, Mariapia Palombaro
We study the differential inclusion , where is an unbounded and rotationally invariant subset of the real symmetric matrices. We exhibit a subset of all po…
-convergence analysis of the nonlinear self-energy induced by edge dislocations in semi-discrete and discrete models in two dimensions
Roberto Alicandro, Lucia De Luca, Mariapia Palombaro +1
We propose nonlinear semi-discrete and discrete models for the elastic energy induced by a finite systems of edge dislocations in two dimensions. Within the dilute regime, we analy…
Coarse-graining of a discrete model for edge dislocations in the regular triangular lattice
Roberto Alicandro, Lucia De Luca, Giuliano Lazzaroni +2
We consider a discrete model of planar elasticity where the particles, in the reference configuration, sit on a regular triangular lattice and interact through nearest neighbor pai…
Derivation of Linearised Polycrystals from a 2D system of edge dislocations
Silvio Fanzon, Mariapia Palombaro, Marcello Ponsiglione
In this paper we show the emergence of polycrystalline structures as a result of elastic energy minimisation. For this purpose, we introduce a variational model for two-dimensional…
Optimal lower exponent for the higher gradient integrability of solutions to two-phase elliptic equations in two dimensions
Silvio Fanzon, Mariapia Palombaro
We study the higher gradient integrability of distributional solutions to the equation in dimension two, in the case when the essential range of consis…