The Cosserat spectrum for cylindrical geometries: (Part 2: [formula omitted] subspace and applications)

Abstract

We construct the orthonormal bases of the Cosserat subspace u ̃ −1 corresponding to the eigenvalue of infinite multiplicity ω ̃ =−1 for the first boundary value problems of elasticity for a solid cylinder and a cylindrical rigid inclusion. These bases involve the Jacobi polynomials with different weight functions. An example of non-harmonic heat flow past a cylindrical rigid inclusion shows that the sequence of u ̃ −1 converges fast, thus, the Cosserat spectrum theory is an efficient method for solving elasticity problems of general body force or boundary loading.