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

W. Liu, X. Markenscoff

Research output: Contribution to journalArticle

3 Scopus citations

Abstract

We construct the orthonormal bases of the Cosserat subspace ũ-1 corresponding to the eigenvalue of infinite multiplicity ω̃=-1 for the first boundary value problems of elasticity for a solid cylinder and a cylindrical rigid inclusion. These bases involve the Jacobi polynomials with different weight functions. An example of non-harmonic heat flow past a cylindrical rigid inclusion shows that the sequence of ũ-1 converges fast, thus, the Cosserat spectrum theory is an efficient method for solving elasticity problems of general body force or boundary loading.

Original languageEnglish (US)
Pages (from-to)1177-1190
Number of pages14
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

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