7 citations · 27 across the 18 of their papers we have counts for
22 papers
Periodic homogenization in scalar Hencky plasticity
Gilles A. Francfort, Alessandro Giacomini
This paper investigates the periodic homogenization of a two-phase elasto-plastic material in the framework of -convergence. It establishes the link between the homogenized func…
Nucleation and propagation of brittle fracture as a constrained energy minimization problem
Oscar Lopez-Pamies, Farhad Kamarei, Gilles A. Francfort +1
This paper presents a macroscopic, or continuum, theory aimed at describing when, where, and why cracks nucleate and propagate in nominally elastic brittle materials under monotoni…
Velocity optimization of self-equilibrated obstacles in a two-dimensional viscous flow
Gilles A. Francfort, Alessandro Giacomini, Scott Weady
An obstacle is immersed in an externally driven 2D Stokes or Navier-Stokes fluid. We study the self-equilibration conditions for that obstacle under steady state assumptions on the…
Spatial regularity for general yield criteria in dynamic and quasi-static perfect plasticity
Jean-François Babadjian, Alessandro Giacomini, Maria Giovanna Mora
This work addresses the question of regularity of solutions to evolutionary (quasi-static and dynamic) perfect plasticity models. Under the assumption that the elasticity set is a…
A shape optimization problem for nematic and cholesteric liquid crystal drops
Alessandro Giacomini, Silvia Paparini
We generalize the shape optimization problem for the existence of stable equilibrium configurations of nematic and cholesteric liquid crystal drops surrounded by an isotropic solut…
Minimization of the -th eigenvalue of the Robin-Laplacian with perimeter constraint
Simone Cito, Alessandro Giacomini
In this paper we address the problem of the minimization of the -th Robin eigenvalue with parameter among bounded open Lipschitz sets with prescribed perimeter.…