Axial eigenfunctions for the axisymmetric problem of an elastic circular cylinder

Constructing a biorthogonality relation it is shown how solutions can be obtained for the stress, displacement and mixed problems associated with the axisymmetric deformations in a cylinder whose plane faces are either stress-free or displacement-free. Numerical results are presented for the reproduction of the boundary stresses when a self-equilibrating load is prescribed on the circular boundary of the cylinder whose plane faces are stress-free.