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

At free drainage holds () for . At the boundary is not permeable ( ) for . Using the non-dimensional variables, the analytical solution reads (see [1])

As a typical result, at is checked; at the exact solution for the non-dimensional pressure is 0.6.

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