Abstract
The basic equations for the representation of crack tip plasticity by an inclined strip yield superdislocation model are derived. The results are put into a form suitable for the analysis of fatigue and other stable crack growth processes. Specialization of the general results for small-scale yielding under a fixed load is also given. The crack tip crack-opening displacement obtained for this situation is compared with finite element and other more rigorously obtained results and found to be in quite good agreement.
Résumé
On établit des équations de base pour la représentation de la plasticité à l'extrémité d'une fissure par un modèle de superdislocations associées à des bandes de glissement inclinées. Les résultats sont présentés sous une forme compatible avec l'analyse de la fatigue et d'autres processus de croissance stable d'une fissure. Une spécialisation des résultats généraux est également donnée pour le cas de glissements plastiques de faible étendue sous une charge déterminée. Le COD de l'extrémité de la fissure relatif à cette situation est comparé avec les résultats obtenus par éléments finis ainsi que par des méthodes plus rigoureuses. On constate un très bon accord avec ces mesures.
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Atkinson, C., Kanninen, M.F. A simple representation of crack tip plasticity: the inclined strip yield superdislocation model. Int J Fract 13, 151–163 (1977). https://doi.org/10.1007/BF00042557
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DOI: https://doi.org/10.1007/BF00042557