8 citations · 10 across the 3 of their papers we have counts for
11 papers
Waves in flexural beams\with nonlinear adhesive interaction
Giuseppe Maria Coclite, Giuseppe Devillanova, Francesco Maddalena
The paper studies the initial boundary value problem related to the dynamic evolution of an elastic beam interacting with a substrate through an elastic-breakable forcing term. Thi…
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…
Regularity and energy transfer for a nonlinear beam equation
Giuseppe Maria Coclite, Giuseppe Fanizza, Francesco Maddalena
In this paper we study some key effects of a discontinuous forcing term in a fourth order wave equation on a bounded domain, modeling the adhesion of an elastic beam with a substra…
Singularity formation in fractional Burgers' equations
Giuseppe Maria Coclite, Serena Dipierro, Francesco Maddalena +1
The formation of singularities in finite time in non-local Burgers' equations, with time-fractional derivative, is studied in detail. The occurrence of finite time singularity is p…
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…