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A Korn-Poincar'e-type inequality for special functions of bounded deformation | | Manuel Friedrich
; | | Date: |
23 Mar 2015 | | Abstract: | We present a Korn-Poincar’e-type inequality in a planar setting which is in
the spirit of the Poincar’e inequality in SBV due to De Giorgi, Carriero,
Leaci. We show that for each function in SBD$^2$ one can find a modification
which differs from the original displacement field only on a small set such
that the distance of the modification from a suitable infinitesimal rigid
motion can be controlled by an appropriate combination of the elastic and the
surface energy. In particular, the result can be used to obtain compactness
estimates for functions of bounded deformation. | | Source: | arXiv, 1503.6755 | | Services: | Forum | Review | PDF | Favorites | |
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