5 papers
Read--Shockley formula for a general Bravais lattice in two dimensions
Lucia Scardia, Edoardo Giovanni Tolotti
In this note we consider a two-dimensional semi-discrete dislocation energy and propose a simple and physically motivated construction for the grain boundary between two crystal gr…
Stability of the Von Kármán regime for thin plates under Neumann boundary conditions
Edoardo Giovanni Tolotti
We analyze the stability of the Von Kármán model for thin plates subject to pure Neumann conditions and to dead loads, with no restriction on their direction. We prove a stabilit…
Nonlocal anisotropic Riesz interactions with a physical confinement
Maria Giovanna Mora, Luca Rondi, Lucia Scardia +1
In this work we fully characterize, in any space dimension, the minimizer of a class of nonlocal and anisotropic Riesz energies defined over probability measures supported on ellip…
On the hierarchy of plate models for a singularly perturbed multi-well nonlinear elastic energy
Edoardo Giovanni Tolotti
In the celebrated work of Friesecke, James and Müller '06 the authors derive a hierarchy of models for plates by carefully analyzing the -convergence of the rescaled nonlinear…
A free boundary approach to the quasistatic evolution of debonding models
Eleonora Maggiorelli, Filippo Riva, Edoardo Giovanni Tolotti
The mechanical process of progressively debonding an adhesive membrane from a substrate is described as a quasistatic variational evolution of sets and herein investigated. Existen…