Computable Constants for Korn’s Inequalities on Riemannian Manifolds

Computable Constants for Korn’s Inequalities on Riemannian Manifolds

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 c...

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Veröffentlicht in:Journal of elasticity 2021-12, Vol.147 (1-2), p.59-82
1. Verfasser: Knops, R. J.
Format: Artikel
Sprache:eng
Schlagworte:
Automotive Engineering
Classical Mechanics
Engineering
Engineering, Multidisciplinary
Materials Science
Materials Science, Multidisciplinary
Mechanics
Physics
Physics and Astronomy
Science & Technology
Technology
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Zusammenfassung: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.
ISSN:0374-3535
1573-2681
DOI:10.1007/s10659-021-09870-4