Abstract of the paper ``Nonlinear and semilinear dynamic poroelasticity
with microstructure'' with Lewis Thigpen
Nonlinear equations for wave propagation through dry or fluid-saturated
porous elastic media are derived using a variational formulation.
The method presented is very similar to the appraoch of Bedford and Drumheller,
including microinertia terms for local density fluctuations of fluid and
solid.
One major difference is the choice of a Lagrangian (rather than Eulerian) reference
frame locked to the solid constituent.
This choice of reference frame is preferable for porous solids and also
allows direct comparison to Biot's theories of nonlinear and semilinear rheology of porous solids.
Electronic copies of this paper are not available.