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

  • F. Dellľisola
  • G. Sciarra
  • R. C. Batra
Chapter
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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.

Key words

solid-fluid mixture conservative tractions principle of virtual power partial tractions fluid-filled cylindrical cavity stability analysis 

Mathematics Subject Classifications (2000)

74F10 74F20 
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Copyright information

© Kluwer Academic Publishers 2004

Authors and Affiliations

  • F. Dellľisola
    • 1
  • G. Sciarra
    • 2
  • R. C. Batra
    • 3
  1. 1.Dip. Ingegneria Strutturale e GeotecnicaUniversita degli Studi di Roma “La Sapienza”RomaItaly
  2. 2.Dip. Ingegneria Chimica, dei Materiali, delle Materie Prime e MetallurgiaUniversità degli Studi di Roma “La Sapienza”RomaItaly
  3. 3.Department of Engineering Science and Mechanics, M/C 0219Virginia Polytechnic Institute and State UniversityBlacksburgUSA

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