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Digitale Medien

Extended Korn's inequalities and the associated best possible constants (1990)

Ito, Hiroya

Springer

Journal of elasticity 24 (1990), S. 43-78

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Details

ISSN: 1573-2681

Schlagwort(e): 35B45 ; 73C99

Quelle: Springer Online Journal Archives 1860-2000

Thema: Maschinenbau , Physik

Notizen: Abstract We are concerned with the coerciveness of the strain energy E(u) (in linear elasticity) associated with a displacement vector u on the Sobolev space H1 (Ω) or its subspaces, a domain Ω in ℝn representing an isotropic elastic body—certain specific cases are called “Korn's inequalities”. Sufficient (and necessary) conditions on the “Lamé moduli” for E(·) to be coercive (or uniformly positive) on such spaces are given, and the associated best possible constants are obtained for some cases.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1007/BF00115553

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