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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
(2010-08-11)

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.
1:  Dipartimento di Ingegneria Strutturale e Geotecnica
Universita di Roma "La Sapienza"
2:  Laboratorio Strutture e Materiali Intelligenti - Fondazione Tullio Levi-Civita
Cisterna di Latina
3:  Dipartimento Ingegneria Chimica Materiali Ambiente
Universita di Roma "La Sapienza"
4:  Department of Engineering Science and Mechanics
Virginia Polytechnic Institute & State University
Engineering Sciences/Mechanics
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