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

Authors
Liu, W Markenscoff, X
Citation
W. Liu et X. Markenscoff, The Cosserat spectrum for cylindrical geometries (Part 1: discrete subspace), INT J SOL S, 37(8), 2000, pp. 1165-1176
Citations number
7
Categorie Soggetti
Mechanical Engineering
Journal title
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES
ISSN journal
00207683 → ACNP
Volume
37
Issue
8
Year of publication
2000
Pages
1165 - 1176
Database
ISI
SICI code
0020-7683(200002)37:8<1165:TCSFCG>2.0.ZU;2-U
Abstract
By directly solving the Navier equations of elasticity, we obtain the discr ete Cosserat eigenvalues and eigenvectors for the first boundary value prob lem of a cylindrical shell. The discrete Cosserat spectrum approaches <(ome ga)over tilde> (n) = -2 from both <(omega)over tilde> (n) < -2 and <(omega) over tilde> (n) > -2 sides. It also reduces to a condensation point <(omega )over tilde> = -2 with infinite multiplicity for a cylinder or a cylindrica l rigid inclusion in an infinite space. (C) 1999 Elsevier Science Ltd. All rights reserved.