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The Cosserat spectrum for cylindrical geometries: (Part 2: ũ−1 subspace and applications)

✍ Scribed by W. Liu; X. Markenscoff

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
182 KB
Volume
37
Category
Article
ISSN
0020-7683

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✦ Synopsis

We construct the orthonormal bases of the Cosserat subspace Ä u À1 corresponding to the eigenvalue of in®nite multiplicity õ À1 for the ®rst boundary value problems of elasticity for a solid cylinder and a cylindrical rigid inclusion. These bases involve the Jacobi polynomials with dierent weight functions. An example of non-harmonic heat ¯ow past a cylindrical rigid inclusion shows that the sequence of Ä u À1 converges fast, thus, the Cosserat spectrum theory is an ecient method for solving elasticity problems of general body force or boundary loading.

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