Bounds on the Trace Mappings of LD-Fields

Details Bounds on the Trace Mappings of LD-Fields Bounds on the Trace Mappings of LD-Fields

2005-04-30

arxiv.org/abs/math/0505006v1

Mathematics

Analysis of PDEs

22 pages

Scientific paper

Bounds on the trace mappings defined on the Sobolev space W^{1,1}(Omega) and the space $LD(Omega)$ of integrable stains are obtained. Such bounds correspond to stress concentration--the ratio between the maximal stress in a body and the maximum of the traction applied to its boundary. The analysis leading to the bounds may be described in the mechanical context of stress theory and stress concentration.

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