In this 1D example, a porous solid saturated with fluid is compressed
by a force
on the solid phase. The length of the test specimen is
,
plane strain conditions hold, the Young's modulus is
,
Poisson's ratio
is
,
permeability
,
width of test specimen
,
thickness
,
area
.
Some non-dimensional variables are introduced
Now we choose: ,
,
,
,
,
and
.
Thus, for
at
we should find
.
The numerical analysis (5 elements, time step size 0.01) gives
.
The pressure distribution at
is given below