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The Cosserat Subspace ũ(−1)for Bodies of Spherical Geometry

✍ Scribed by Wensen Liu; Wensen Liu; Xanthippi Markenscoff; Michael Paukshto


Book ID
110251157
Publisher
Springer Netherlands
Year
1999
Tongue
English
Weight
87 KB
Volume
54
Category
Article
ISSN
0374-3535

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📜 SIMILAR VOLUMES


The Cosserat spectrum for cylindrical ge
✍ W. Liu; X. Markenscoff 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 173 KB

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 p

The Cosserat spectrum for cylindrical ge
✍ 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