21 citations · 58 across the 6 of their papers we have counts for
6 papers
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…
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…
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…