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 language | English |
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Pages (from-to) | 59–82 |
Number of pages | 24 |
Journal | Journal of Elasticity |
Volume | 147 |
Early online date | 30 Nov 2021 |
DOIs | |
Publication status | Published - Dec 2021 |
Keywords
- Computable Korn’s constants
- Korn’s inequalities
- Riemannian manifolds
ASJC Scopus subject areas
- General Materials Science
- Mechanics of Materials
- Mechanical Engineering