A second gradient model for deformable porous matrices filled with an inviscid fluid

Francesco Dell'Isola (1, 2) , Giulio Sciarra (3) , Romesh C. Batra (4)

1 Dipartimento di Ingegneria Strutturale e Geotecnica
2 Laboratorio Strutture e Materiali Intelligenti - Fondazione Tullio Levi-Civita
3 Dipartimento Ingegneria Chimica Materiali Ambiente
4 Department of Engineering Science and Mechanics

In this paper we deal with an enlarged theory of binary mixtures: a second gradient solid constituent and a perfect fluid are considered. On the basis of this assumptions we obtain, for a linear elastic hollow cylinder, a set of density profiles of the solid matrix, parameterized by a suitable energetic coupling coefficient and characterized by the presence of boundary layers arising at the external surfaces of the body. A structural stability analysis of the partial differential equations, governing the motion of the mixture, is also developed, in a case which may be of interest in applications to underground structural engineering.

Domaines: Mécanique [physics.med-ph]

Francesco Dell'Isola, Giulio Sciarra, Romesh C. Batra. A second gradient model for deformable porous matrices filled with an inviscid fluid. 2010. ⟨hal-00509267⟩