Electronic Resource
Springer
Archive for rational mechanics and analysis
75 (1980), S. 7-21
ISSN:
1432-0673
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
,
Physics
Notes:
Abstract We study the space BD(Ω), composed of vector functions u for which all components εij=1/2(u i, j+u j, i) of the deformation tensor are bounded measures. This seems to be the correct space for the displacement field in the problems of perfect plasticity. We prove that the boundary values of every such u are integrable; indeed their trace is in L 1 (Γ)N. We show also that if a distribution u yields ɛ ij which are measures, then u must lie in L p(Ω) for p≦N/(N−1).
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF00284617
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