A reciprocal theorem for a mixture of interacting continuous media
Abstract
Using a linearized theory of interacting continuous media composed of linear elastic solid and linear viscous fluid, a reciprocal theorem is derived which relates the solution of one initialboundary value problem to another. As an illustration of the reciprocal theorem, we obtain the early time displacement and velocity field of a mixture occupying an infinite region and subjected to an impulsively applied moving point load acting on the solid constituent.
 Publication:

International Journal of Engineering Science
 Pub Date:
 November 1975
 Bibcode:
 1975IJES...13..979L
 Keywords:

 Boundary Value Problems;
 Continuum Mechanics;
 Elastic Properties;
 LiquidSolid Interfaces;
 Reciprocal Theorems;
 Viscous Fluids;
 Continuity Equation;
 Displacement;
 Laplace Transformation;
 Linear Equations;
 Spatial Distribution;
 Velocity Distribution;
 Physics (General)