41 citations · 160 across the 13 of their papers we have counts for
6 papers · 1 filter
Elastic-brittle reinforcement of flexural structures
Francesco Maddalena, Danilo Percivale, Franco Tomarelli
This note provides a variational description of the mechanical effects of flexural stiffening of a 2D plate glued to an elastic-brittle or an elastic-plastic reinforcement. The rei…
Euler's optimal profile problem
Francesco Maddalena, Edoardo Mainini, Danilo Percivale
We study an old variational problem formulated by Euler as Proposition 53 of his `Scientia Navalis' by means of the direct method of the calculus of variations. Precisely, through…
A new variational approach to linearization of traction problems in elasticity
Francesco Maddalena, Danilo Percivale, Franco Tomarelli
A new energy functional for pure traction problems in elasticity has been deduced in [23] as the variational limit of nonlinear elastic energy functional for a material body subjec…
Variational Problems for Foppl-von Karman plates
Francesco Maddalena, Danilo Percivale, Franco Tomarelli
Some variational problems for a Foppl-von Karman plate subject to general equilibrated loads are studied. The existence of global minimizers is proved under the assumption that the…
Transport Problems and Disintegration Maps
L. Granieri, F. Maddalena
By disintegration of transport plans it is introduced the notion of transport class. This allows to consider the Monge problem as a particular case of the Kantorovich transport pro…
A Metric Approach to Elastic Reformations
L. Granieri, F. Maddalena
We study a variational framework to compare shapes, modeled as Radon measures on R^N, in order to quantify how they differ from isometric copies. To this purpose we discuss some no…