Bounds on the Trace Mappings of LD-Fields
Ronen Peretz, Reuven Segev
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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