22 citations · 83 across the 12 of their papers we have counts for
12 papers
Stability of the stationary solutions of the Allen-Cahn equation with non-constant stiffness
Paolo Buttà, Emilio N. M. Cirillo, Giulio Sciarra
We study the solutions of a generalized Allen-Cahn equation deduced from a Landau energy functional, endowed with a non-constant higher order stiffness. We assume the stiffness to…
Phase field modeling of partially saturated deformable porous media
Giulio Sciarra
A poromechanical model of partially saturated deformable porous media is proposed based on a phase field approach at modeling the behavior of the mixture of liquid water and wet ai…
Compacton formation under Allen--Cahn dynamics
Emilio N. M. Cirillo, Nicoletta Ianiro, Giulio Sciarra
We study the solutions of a generalized Allen-Cahn equation deduced from a Landau energy functional, endowed with a non-constant higher order stiffness. We analytically solve the s…
Temperature-driven volume transition in hydrogels: phase--coexistence and interface localization
Emilio N. M. Cirillo, Paola Nardinocchi, Giulio Sciarra
We study volume transition phenomenon in hydrogels within the framework of Flory-Rehner thermodynamic modelling; we show that starting from different models for the Flory parameter…
Kink Localization under Asymmetric Double-Well Potential
Emilio N. M. Cirillo, Nicoletta Ianiro, Giulio Sciarra
We study diffuse phase interfaces under asymmetric double-well potential energies with degenerate minima and demonstrate that the limiting sharp profile, for small interface energy…
Allen-Cahn and Cahn-Hilliard-like equations for dissipative dynamics of saturated porous media
Emilio N. M. Cirillo, Nicoletta Ianiro, Giulio Sciarra
We consider a saturated porous medium in the regime of solid-fluid segregation under an applied pressure on the solid constituent. We prove that, depending on the dissipation mecha…
Phase coexistence in consolidating porous media
E. N. M. Cirillo, N. Ianiro, G. Sciarra
The appearence of the fluid-rich phase in saturated porous media under the effect of an external pressure is investigated. For this purpose we introduce a two field second gradient…
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…
Second gradient poromechanics
Giulio Sciarra, Francesco dell'Isola, Olivier Coussy
Second gradient theories have been developed in mechanics for treating different phenomena as capillarity in fluids, plasticity and friction in granular materials or shear band def…
A Variational Deduction of Second Gradient Poroelasticity II: An Application to the Consolidation Problem
Angela Madeo, Francesco dell'Isola, Nicoletta Ianiro +1
The second gradient model of poromechanics, introduced in Part I, is here linearized in the neighborhood of a prestressed reference configuration to be applied to the one-dimension…
A Variational Deduction of Second Gradient Poroelasticity Part I: General Theory
Giulio Sciarra, Francesco dell'Isola, Nicoletta Ianiro +1
Second gradient theories have to be used to capture how local micro heterogeneities macroscopically affect the behavior of a continuum. In this paper a configurational space for a…
A solid-fluid mixture model allowing for solid dilatation under external pressure
Giulio Sciarra, Francesco dell'Isola, Kolumban Hutter
A sponge subjected to an increase of the outside fluid pressure expands its volume but nearly mantains its true density and thus gives way to an increase of the interstitial volume…