41 citations · 160 across the 13 of their papers we have counts for
18 papers
Dispersive effects in two- and three-dimensional peridynamics
Alessandro Coclite, Giuseppe Maria Coclite, Giuseppe Fanizza +1
In this paper we study the dispersive properties related to a model of peridynamic evolution, governed by a non local initial value problem, in the cases of two and three spatial d…
A Numerical Framework For Nonlinear Peridynamics On Two-dimensional Manifolds Based On Implicit P-(Ec)k Schemes
Alessandro Coclite, Giuseppe Maria Coclite, Francesco Maddalena +1
In this manuscript, an original numerical procedure for the nonlinear peridynamics on arbitrarily--shaped two-dimensional (2D) closed manifolds is proposed. When dealing with non p…
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…
Dispersive effects in a scalar nonlocal wave equation inspired by peridynamics
Giuseppe Maria Coclite, Serena Dipierro, Giuseppe Fanizza +2
We study the dispersive properties of a linear equation in one spatial dimension which is inspired by models in peridynamics. The interplay between nonlocality and dispersion is an…
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…
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…
Numerical Methods for the Nonlocal Wave Equation of the Peridynamics
Giuseppe Maria Coclite, Alessandro Fanizzi, Luciano Lopez +2
In this paper we will consider the peridynamic equation of motion which is described by a second order in time partial integro-differential equation. This equation has recently rec…
Wellposedness of a nonlinear peridynamic model
Giuseppe Maria Coclite, Serena Dipierro, Francesco Maddalena +1
We consider an evolution equation inspired by a model in peridynamics, with a singular pairwise interaction force term, and we give global in time existence, uniqueness and stabili…
Fractality in selfsimilar minimal mass structures
D. De Tommasi, F. Maddalena, G. Puglisi +1
In this paper we study the diffusely observed occurrence of Fractality and Self-organized Criticality in mechanical systems. We analytically show, based on a prototypical compresse…
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…
Nonlinear waves in adhesive strings
Giuseppe Maria Coclite, Giuseppe Florio, Marilena Ligabo' +1
We study a 1D semilinear wave equation modeling the dynamic of an elastic string interacting with a rigid substrate through an adhesive layer. The constitutive law of the adhesive…
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…
Mechanics of Reversible Unzipping
F. Maddalena, D. Percivale, G. Puglisi +1
We study the mechanics of a reversible decohesion (unzipping) of an elastic layer subjected to quasi-static end-point loading. At the micro level the system is simulated by an elas…