A consistent theory for poroelastic plates

In many fields of engineering thin porous components are used, e.g. as damping elements for noise insulation in cars or walls
in buildings. Today these elements are often calculated using a numerical 3-D model. Because of numerical problems which occur using a 3-D model for thin transversly loaded structures a plate theory is advantageous. To take into account the porous
structure as well as the damping effect of the porosity of these components a poroelastic plate theory is necessary.
Several posibilities exist to establish plate theories. Generally, methods to derive a plate theory require a priory assumptions motivated by engineering intuition (like the classical Kirchhoff normal hypothesis).
In this contribution a priori assumptions are not used. Plate theories of different orders are derived from the 3-D poroelastic theory using series expansion. For elastic plates this idea was introduced in [3].