Computable Constants for Korn’s Inequalities on Riemannian Manifolds

R. J. Knops*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)
81 Downloads (Pure)

Abstract

A method is presented for the explicit construction of the non-dimensional constant occurring in Korn’s inequalities for a bounded two-dimensional Riemannian differentiable simply connected manifold subject to Dirichlet boundary conditions. The method is illustrated by application to the spherical cap and minimal surface.

Original languageEnglish
Pages (from-to)59–82
Number of pages24
JournalJournal of Elasticity
Volume147
Early online date30 Nov 2021
DOIs
Publication statusPublished - Dec 2021

Keywords

  • Computable Korn’s constants
  • Korn’s inequalities
  • Riemannian manifolds

ASJC Scopus subject areas

  • General Materials Science
  • Mechanics of Materials
  • Mechanical Engineering

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