activity
20162021
most citedA new variational approach to linearization of traction problems in elasticity

12 citations · 36 across the 4 of their papers we have counts for

collaborators

5 papers

math.OC2021

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…

math.OC2018★ 12 cited

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…

math.AP2018★ 12 cited

The gap in Pure Traction Problems between Linear Elasticity and Variational Limit of Finite Elasticity

Francesco Maddalena, Danilo Percivale, Franco Tomarelli

A limit elastic energy for pure traction problem is derived from re-scaled nonlinear energy of an hyperelastic material body subject to an equilibrated force field. We show that th…

math.OC2017★ 9 cited

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…

math.OC2016★ 3 cited

Fractional Sobolev Spaces and Functions of Bounded Variation

M. Bergounioux, A. Leaci, G. Nardi +1

We investigate the 1D Riemann-Liouville fractional derivative focusing on the connections with fractional Sobolev spaces, the space of functions of bounded variation, whose de…