On Korn's inequality
โ Scribed by L. E. Payne; H. F. Weinberger
- Publisher
- Springer
- Year
- 1961
- Tongue
- English
- Weight
- 403 KB
- Volume
- 8
- Category
- Article
- ISSN
- 0003-9527
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
The first Korn's inequality is extended to unbounded domains and to classes of functions having a singular point. Let B be a regular domain of R 3 and let H(B) be the set of all vector-valued functions on B such that u = 0 on 0B and x7u is square summable over B. As is well-known, the first Korn's
Let ฯ be a domain in R 2 and let ฮธ : ฯ โ R 3 be a smooth immersion. The main purpose of this paper is to establish a "nonlinear Korn inequality on the surface ฮธ (ฯ)", asserting that, under ad hoc assumptions, the H 1 (ฯ)-distance between the surface ฮธ(ฯ) and a deformed surface is "controlled" by the
We introduce a new Kern's type inequality and show its usefulness in making the convergence of iterative algorithms for thin elastic structures independent of their thickness. ## Uno nouvelle i"egalitc de Kom pour deยป structures Clasliqlles minces Resume. Nous introduisons une nouvelle inegalite