✦ LIBER ✦

Korn's Inequalities for Junctions of Spatial Bodies and Thin Rods

✍ Scribed by Serguei A. Nazarov

Publisher: John Wiley and Sons
Year: 1997
Tongue: English
Weight: 385 KB
Volume: 20
Category: Article
ISSN: 0170-4214
DOI: 10.1002/(sici)1099-1476(199702)20:3<219::aid-mma854>3.0.co;2-c

No coin nor oath required. For personal study only.

✦ Synopsis

The dependence on the small parameter of constants in Korn's inequalities is investigated for domains which are obtained by joining thin rods to an elastic spatial body. The external ends of the rods are clamped. The asymptotic accuracy of the derived inequalities is achieved by certain distribution of weight multipliers and powers of in ¸-norms of displacements and their derivatives while the introduced weights differ for longitudinal and transversal components of displacement fields in the rods.

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