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.
A second gradient model for deformable porous matrices filled with an inviscid fluid / Dell'Isola, Francesco; Sciarra, Giulio; R. C., Batra. - 125:(2005), pp. 221-229. (Intervento presentato al convegno Symposium on the Mechanics of Physicochemical and Electromechanical Interactions in Porous Media tenutosi a Kerkrade, NETHERLANDS nel MAY 18-23, 2003) [10.1007/1-4020-3865-8_25].
A second gradient model for deformable porous matrices filled with an inviscid fluid
DELL'ISOLA, Francesco;SCIARRA, Giulio;
2005
Abstract
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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
