Bounds on the trace mapping of LD-fields

  • Authors:

  • Ronen Peretz;Reuven Segev

  • Affiliations:

  • Department of Mathematics, Ben-Gurion University, P.O. Box 653, Beer-Sheva 84105, Israel and Department of Mechanical Engineering, Ben-Gurion University, P.O. Box 653, Beer-Sheva 84105, Israel;Department of Mathematics, Ben-Gurion University, P.O. Box 653, Beer-Sheva 84105, Israel and Department of Mechanical Engineering, Ben-Gurion University, P.O. Box 653, Beer-Sheva 84105, Israel

  • Venue:
  • Computers & Mathematics with Applications
  • Year:
  • 2007

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Abstract

Bounds on the trace mappings defined on the Sobolev space W"1^1(@W) and the space LD(@W) 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.