The Cosserat spectrum for cylindrical geometries: (Part 1: discrete subspace)

By directly solving the Navier equations of elasticity, we obtain the discrete Cosserat eigenvalues and eigenvectors for the ®rst boundary value problem of a cylindrical shell. The discrete Cosserat spectrum approaches o~ n ˆ ÿ2 from both o~ n< ÿ 2 and o~ n > ÿ2 sides. It also reduces to a condensation point o~ n ˆ ÿ2 with in®nite multiplicity for a cylinder or a cylindrical rigid inclusion in an in®nite space