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

W. Liu, X. Markenscoff

Research output: Contribution to journalArticle

4 Scopus citations

Abstract

By directly solving the Navier equations of elasticity, we obtain the discrete Cosserat eigenvalues and eigenvectors for the first boundary value problem of a cylindrical shell. The discrete Cosserat spectrum approaches ω̃n=-2 from both ω̃n<-2 and ω̃n>-2 sides. It also reduces to a condensation point ω̃n=-2 with infinite multiplicity for a cylinder or a cylindrical rigid inclusion in an infinite space.

Original languageEnglish (US)
Pages (from-to)1165-1176
Number of pages12
JournalInternational Journal of Solids and Structures
Volume37
Issue number8
DOIs
StatePublished - Feb 2000
Externally publishedYes

ASJC Scopus subject areas

  • Modeling and Simulation
  • Materials Science(all)
  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering
  • Applied Mathematics

Fingerprint Dive into the research topics of 'The Cosserat spectrum for cylindrical geometries: (Part 1: Discrete subspace)'. Together they form a unique fingerprint.

  • Cite this