On a lower bound of the cosserat spectrum for the second boundary value problem of elastostatics: Boundary value problem of elastostatics

Research output: Contribution to journalArticlepeer-review

Abstract

The boundary value problem with given stresses on the boundary for the Navier (Lamé) equation is under consideration. The Cosserat eigenvalues are those values of a spectral parameter (Formula presented.) related to the Poisson ratio σ which admit non-trivial solution to the homogeneous boundary value problem. It is known that all finite-multiple Cosserat eigenvalues belong to the ray (-∞, 1/3]. The aim of the paper is to prove that for any convex domain the Cosserat eigenvalues are contained in the interval(-1,1/3].

Original languageEnglish
Pages (from-to)301-309
Number of pages9
JournalApplicable Analysis
Volume74
Issue number3-4
DOIs
StatePublished - Apr 2000

Keywords

  • Cosserat eigenvalues
  • Lamé equation

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

Fingerprint

Dive into the research topics of 'On a lower bound of the cosserat spectrum for the second boundary value problem of elastostatics: Boundary value problem of elastostatics'. Together they form a unique fingerprint.

Cite this