The (−1) Cosserat Eigenfunctions for Spherical Geometry with Application to Poroelasticity

The bases of the Cosserat eigenfunctions for the (−1) subspace are obtained for the inner and outer boundary value problems of traction for a sphere. The method is useful for the solution of poroelastic problems of general pressure dependence p (r, τ) in the presence of a spherical cavity as well as thermoelastic problems due to non-harmonic heat sources. An example of application to poroelastic solid containing a spherical cavity under radially dependent pore pressure is presented.