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Line crack subject to shear

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Abstract

Field equations of nonlocal elasticity are solved to determine the state of stress in the neighborhood of a line crack in an elastic plate subject to a uniform shear at the surface of the crack tip. A fracture criterion based on the maximum shear stress gives the critical value of the applied shear for which the crack becomes unstable. Cohesive stress necessary to break the atomic bonds is calculated for brittle materials.

Résumé

Les équations de champ d'élasticité non locale sont résolues afin de déterminer l'état de tension au voisinage d'une fissure linéaire dans une tôle élastique soumise à cisaillement uniforme à la surface de l'extrémité d'une fissure. Un critère de rupture basé sur la tension de cisaillement maximum fournit la valeur critique du cisaillement appliqué, pour lequel la fissure devient instable. La contrainte de cohésion nécessaire pour rompre les liaisons atomiques est calculée dans le cas des matériaux fragiles.

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Authors and Affiliations

  1. Princeton University, 08540, Princeton, New Jersey, USA

    A. Cemal Eringen

Authors
  1. A. Cemal Eringen
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Additional information

The present work was supported by the Office of Naval Research.

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Eringen, A.C. Line crack subject to shear. Int J Fract 14, 367–379 (1978). https://doi.org/10.1007/BF00015990

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  • DOI: https://doi.org/10.1007/BF00015990

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