Computable Constants for Korn’s Inequalities on Riemannian Manifolds

R. J. Knops

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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
JournalJournal of Elasticity
Early online date30 Nov 2021
DOIs
Publication statusE-pub ahead of print - 30 Nov 2021

Keywords

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

ASJC Scopus subject areas

  • Materials Science(all)
  • Mechanics of Materials
  • Mechanical Engineering

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