Skip to Main content Skip to Navigation
Journal articles

Static Deformations of a Linear Elastic Porous Body Filled with an Inviscid Fluid

Abstract : We study infinitesimal deformations of a porous linear elastic body saturated with an inviscid fluid and subjected to conservative surface tractions. The gradient of the mass density of the solid phase is also taken as an independent kinematic variable and the corresponding higher-order stresses are considered. Balance laws and constitutive relations for finite deformations are reduced to those for infinitesimal deformations, and expressions for partial surface tractions acting on the solid and the fluid phases are derived. A boundary-value problem for a long hollow porous solid cylinder filled with an ideal fluid is solved, and the stability of the stressed reference configuration with respect to variations in the values of the coefficient coupling deformations of the two phases is investigated. An example of the problem studied is a cylindrical cavity leached out in salt formations for storing hydrocarbons.
Document type :
Journal articles
Complete list of metadata

Cited literature [34 references]  Display  Hide  Download
Contributor : Francesco Dell'Isola <>
Submitted on : Wednesday, July 7, 2010 - 2:43:40 PM
Last modification on : Friday, September 4, 2020 - 1:25:02 PM
Long-term archiving on: : Thursday, December 1, 2016 - 2:27:24 AM


Files produced by the author(s)


  • HAL Id : hal-00498441, version 1


Francesco Dell'Isola, Giulio Sciarra, Romesh C. Batra. Static Deformations of a Linear Elastic Porous Body Filled with an Inviscid Fluid. Journal of Elasticity, Springer Verlag, 2003, pp.22. ⟨hal-00498441⟩



Record views


Files downloads