Bounds on the trace mapping of LD-fields

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2 Scopus citations


Bounds on the trace mappings defined on the Sobolev space W11 (Ω) and the space L D (Ω) of integrable strains are obtained. In the mechanics of continuous media, 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.

Original languageEnglish
Pages (from-to)665-684
Number of pages20
JournalComputers and Mathematics with Applications
Issue number3-4
StatePublished - 1 Feb 2007


  • Bounds
  • Continuum mechanics
  • Sobolev space
  • Stress concentration
  • Trace

ASJC Scopus subject areas

  • Modeling and Simulation
  • Computational Theory and Mathematics
  • Computational Mathematics


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