  Two linear, point-symmetric, coupled consolidation model families with
various embedding space dimension values (oedometer models - 1, spherical
models - 3, cylindrical models - 2), differing in one boundary condition
(coupled 1 - constant displacement, coupled 2 - constant stress) are analysed
analytically and numerically. The method of the research is partly analytical,
the models are unified into a single model with unique analytical solution,
every model can be derived from this by inserting the proper boundary condition
and embedding space dimension m. The constants of the solutions are determined
and an approximate time factor and model law are derived for the m >1case which
is identical to the one valid in the oedometer case. The convergence of the
infinite series are examined in the function of the initial condition.
Concerning the total stress at the pile shaft, significant decrease (with the
value of the initial mean pore water pressure) is encountered for the coupled 1
consolidation models, zero stress drop is resulted by the coupled 2 models. The
total stress dissipation test is suggested to be evaluated by the coupled 1
models with a time dependent constitutive law, eg., by adding a relaxation
part-model. The rate of convergence is the smaller if the initial condition is
the closer to the one of a zero solution (beyond the trivial one, a non-trivial
zero solution exists for the coupled 1 model, at the Terzaghi initial
condition).
