Bending of a Cosserat plate under its own weight and normal uniform loading

Following the considerations published in [1] the aim of the present paper to is determine the representation of the displacement vector and the infinitesimal rotation vector describing bending of the Cosserat plate subject to its own weight and to the normal uniformly distributed loading. The presented bibarmonic representation reduces the equilibrium problem of such plate to a single non-homogeneous biharmonic equation involving a plate deflection function.