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Large crack tip opening in thin elastic-plastic sheets

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Abstract

Large deformation, three-dimensional finite element analysis has been used to study the blunting of a mode I crack tip in a thin elastic-plastic sheet. The near tip stress and deformation fields were analyzed, and the results compared with two-dimensional plane stress solutions. A double shear band was found ahead of the crack tip which created a three-dimensional zone extending several sheet thicknesses before the crack. This mechanism leads to an irregular blunt tip shape at the midplane of the sheet. Distinct differences in crack tip shape and the deformation fields were found between the perfect plasticity solution and the strain hardening solution. The analysis was also compared with experimental results obtained by other investigators.

Résumé

On a utilisé une analyse par éléments finis à trois dimensions conçus pour de grandes déformations pour l'étude de l'arrondissement de l'extrémité d'une fissure de mode I dans un feuillard mince élastoplastique. Les champs de contraintes et de déformations au voisinage de cette extrémité sont analysés, et les résultats sont comparés aux solutions obtenues en état plan de tension à deux dimensions. On identifie en avant de l'extrémité de la fissure une double bande de cisaillement qui génère une zone en trois dimensions qui s'étend devant la fissure sur plusieurs fois l'épaisseur du feuillard. Ce mécanisme conduit à une forme irrégulière d'arrondissement de l'extrémité de la fissure dans le plan médian de la tôle. On trouve des différences nettes de forme d'extrémité de fissure et de champs de déformation entre la solution parfaitement plastique et la solution tenant compte d'un écrouissage. On compare également l'analyse effectuée avec les résultats expérimentaux obtenus par d'autres chercheurs.

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Author notes

  1. Craig L. Hom

    Present address: Department of Theoretical and Applied Mechanics, University of Illinois at Urbana-Champaign, Urbana, Illinois, USA

Authors and Affiliations

  1. Department of Materials, University of California, 93106, Santa Barbara, CA, USA

    Craig L. Hom

  2. Department of Mechanical Engineering, University of California, 93106, Santa Barbara, CA, USA

    Robert M. McMeeking

Authors
  1. Craig L. Hom
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  2. Robert M. McMeeking
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Hom, C.L., McMeeking, R.M. Large crack tip opening in thin elastic-plastic sheets. Int J Fract 45, 103–122 (1990). https://doi.org/10.1007/BF00037169

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  • DOI: https://doi.org/10.1007/BF00037169

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