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

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.
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https://hal.archives-ouvertes.fr/hal-00509267
Contributor : Francesco Dell'Isola <>
Submitted on : Wednesday, August 11, 2010 - 11:37:38 AM
Last modification on : Thursday, August 12, 2010 - 11:00:16 AM
Long-term archiving on: Thursday, March 30, 2017 - 1:23:01 AM

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  • HAL Id : hal-00509267, version 1

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

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