SMALL MOTIONS SUPERPOSED ON LARGE STATIC DEFORMATIONS IN POROUS MEDIA.

Abstract

The paper is concerned with the development of the field equations and constitutive equations for small motions superposed on large static deformation of a liquid-filled porous elastic solid, using a basic theory of interacting continua. Two examples of parallel flow in a medium which initially is subjected to a homogeneous deformation is discussed. Also a representation for the solutions of the equations of the infinitesimal theory (analogous to the Boussinesq-Papkovitch representation) is deduced for a class of steady flow. (Author)

Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1966
Accession Number
AD0646910

Entities

People

  • M. J. Crochet
  • Paul M. Naghdi

Organizations

  • University of California, Berkeley

Tags

DTIC Thesaurus Topics

  • Constitutive Equations
  • Differential Equations
  • Equations
  • Equations Of State
  • Flow
  • Mathematics
  • Partial Differential Equations
  • Steady Flow

Fields of Study

  • Mathematics

Readers

  • Fluid Dynamics.
  • Structural Dynamics.