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Thin elastic plates supported over small areas. I. Korn's inequalities and boundary layers | G. Buttazzo
; G. Cardone
; S.A. Nazarov
; | Date: |
14 Jul 2015 | Abstract: | A thin anisotropic elastic plate clamped along its lateral side and also
supported at a small area $ heta_{h}$ of one base is considered; the diameter
of $ heta_{h}$ is of the same order as the plate relative thickness $hll1$.
In addition to the standard Kirchhoff model with the Sobolev point condition, a
three-dimensional boundary layer is investigated in the vicinity of the support
$ heta_{h}$, which with the help of the derived weighted inequality of Korn’s
type, will provide an error estimate with the bound $ch^{1/2}|ln h|$. Ignoring
this boundary layer effect reduces the precision order down to $|ln
h|^{-1/2}$. | Source: | arXiv, 1507.3903 | Services: | Forum | Review | PDF | Favorites |
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