Bounds on the Trace Mappings of LD-Fields
Abstract
Bounds on the trace mappings defined on the Sobolev space W1,1(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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