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Article Dans Une Revue Journal of Mechanics of Materials and Structures Année : 2008

A variational deduction of second gradient poroelasticity I: general theory

Résumé

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 solid matrix filled by an unknown amount of fluid is introduced. The Euler–Lagrange equations valid for second gradient poromechanics, generalizing those due to Biot, are deduced by means of a Lagrangian variational formulation. Starting from a generalized Clausius–Duhem inequality, valid in the framework of second gradient theories, the existence of a macroscopic solid skeleton Lagrangian deformation energy, depending on the solid strain and the Lagrangian fluid mass density as well as on their Lagrangian gradients, is proven.

Dates et versions

hal-01362159 , version 1 (08-09-2016)

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Giulio Sciarra, Francesco Dell’isola, Nicoletta Ianiro, Angela Madeo. A variational deduction of second gradient poroelasticity I: general theory. Journal of Mechanics of Materials and Structures, 2008, 3 (3), ⟨10.2140/jomms.2008.3.507⟩. ⟨hal-01362159⟩
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