The Cosserat spectrum for cylindrical geometries: (Part 2: subspace and applications)

We construct the orthonormal bases of the Cosserat subspace Äu…ÿ1† corresponding to the eigenvalue of in®nite multiplicity o~ ˆ ÿ1 for the ®rst boundary value problems of elasticity for a solid cylinder and a cylindrical rigid inclusion. These bases involve the Jacobi polynomials with di€erent weight functions. An example of non-harmonic heat ¯ow past a cylindrical rigid inclusion shows that the sequence of Äu…ÿ1† converges fast, thus, the Cosserat spectrum theory is an ecient method for solving elasticity problems of general body force or boundary loading.