Computable Constants for Korn’s Inequalities on Riemannian Manifolds

R. J. Knops

doi:10.1007/s10659-021-09870-4

Computable Constants for Korn’s Inequalities on Riemannian Manifolds

R. J. Knops^*

^*Corresponding author for this work

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2 Citations (Scopus)

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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 language	English
Pages (from-to)	59–82
Number of pages	24
Journal	Journal of Elasticity
Volume	147
Early online date	30 Nov 2021
DOIs	https://doi.org/10.1007/s10659-021-09870-4
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

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title = "Computable Constants for Korn{\textquoteright}s Inequalities on Riemannian Manifolds",

abstract = "A method is presented for the explicit construction of the non-dimensional constant occurring in Korn{\textquoteright}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.",

keywords = "Computable Korn{\textquoteright}s constants, Korn{\textquoteright}s inequalities, Riemannian manifolds",

author = "Knops, \{R. J.\}",

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year = "2021",

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AU - Knops, R. J.

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AB - 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.

KW - Computable Korn’s constants

KW - Korn’s inequalities

KW - Riemannian manifolds

UR - https://www.scopus.com/pages/publications/85120324784

U2 - 10.1007/s10659-021-09870-4

DO - 10.1007/s10659-021-09870-4

M3 - Article

AN - SCOPUS:85120324784

SN - 0374-3535

VL - 147

SP - 59

EP - 82

JO - Journal of Elasticity

JF - Journal of Elasticity

ER -

Computable Constants for Korn’s Inequalities on Riemannian Manifolds

Abstract

Keywords

ASJC Scopus subject areas

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