172 citations · 326 across the 5 of their papers we have counts for
5 papers
Macroscopic description of microscopically strongly inhomogenous systems: A mathematical basis for the synthesis of higher gradients metamaterials
Antonio Carcaterra, Francesco dell'Isola, Raffaele Esposito +1
We consider the time evolution of a one dimensional -gradient continuum. Our aim is to construct and analyze discrete approximations in terms of physically realizable mechanical…
Analytical continuum mechanics à la Hamilton-Piola: least action principle for second gradient continua and capillary fluids
N. Auffray, F. dell'Isola, V. Eremeyev +2
In this paper a stationary action principle is proven to hold for capillary fluids, i.e. fluids for which the deformation energy has the form suggested, starting from molecular arg…
Generalized Hooke's law for isotropic second gradient materials
F. dell'Isola, G. Sciarra, S. Vidoli
In the spirit of Germain the most general objective stored elastic energy for a second gradient material is deduced using a literature result of Fortuné & Vallée. Linear isotropic…
A micro-structured continuum modelling compacting fluid-saturated grounds: the effects of pore-size scale parameter
F. dell'Isola, L. Rosa, C. Wozniak
The effect of a "pore-size" length-scale parameter l on compaction of grounds with fluid inclusions is studied. They are modelled as continua endowed with micro-structure by means…
Purely electrical damping of vibrations in arbitrary PEM plates: a mixed non-conforming FEM-Runge-Kutta time evolution analysis
F. dell'Isola, E. Santini, D. Vigilante
A new numerical code, based upon a mixed FEM-Runge-Kutta method, is used for the analysis and design of plane 2-D smart structures. The code is applied to the study of arbitrarily…