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Article overview
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A Korn type inequality in SBD for functions with small jump sets | Manuel Friedrich
; | Date: |
4 May 2015 | Abstract: | We present a Korn type inequality in a planar setting for special functions
of bounded deformation. We prove that for each function in SBD$^2$ with
sufficiently small jump set the distance of the function and its derivative
from an infinitesimal rigid motion can be controlled in terms of the linearized
elastic strain outside of a small exceptional set of finite perimeter.
Particularly the result shows that each function in SBD$^2$ has bounded
variation away from an arbitrarily small part of the domain. | Source: | arXiv, 1505.0565 | Services: | Forum | Review | PDF | Favorites |
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