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Persistence of the HRR fields for general yielding in mode II

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Abstract

The finite element program BERSAFE is used to analyse an edge-cracked square plate under mode II loading in the elastic-plastic regime. Plane strain constraint and power law hardening withn = 3 are assumed. Crack tip stress and strain fields are investigated and shown to equal the HRR fields at all loads from small scale yielding through into general yielding.

Résumé

Le programme d'éléments finis BERSAFE est utilisé pour l'analyse d'une plaque carrée fissurée à ses bords et soumise en régime élastoplastique à une sollicitation de mode II. On suppose un état plan de déformation et un écrouissage régi par une loi de puissancen = 3. On étudie les champs de contraintes et de déformations à l'éxtrémité des fissures et on montre que ces champs sont équivalents à ceux décrits par Hutchinson, Rice et Rosengren (HRR) pour toute la gamme de mise en charges allant de la plastification locale de faible envergure à la plastification généralisée.

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Bradford, R. Persistence of the HRR fields for general yielding in mode II. Int J Fract 26, 85–98 (1984). https://doi.org/10.1007/BF01157546

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Keywords

  • Mechanical Engineer
  • Civil Engineer
  • Plane Strain
  • Strain Field
  • Element Program