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

✍ Scribed by W. Liu; X. Markenscoff

Publisher: Elsevier Science
Year: 2000
Tongue: English
Weight: 173 KB
Volume: 37
Category: Article
ISSN: 0020-7683
DOI: 10.1016/s0020-7683(98)00287-x

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✦ Synopsis

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 õ n À2 from both õ n `À 2 and õ n b À2 sides. It also reduces to a condensation point õ n À2 with in®nite multiplicity for a cylinder or a cylindrical rigid inclusion in an in®nite space.

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

✍ W. Liu; X. Markenscoff 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 182 KB

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 fu