Abstract
The assertion that a non-vanishing Griffith energy release rate requires an r −1 type singularity at the tip of a crack for the energy intensity, i.e. the product of stress and strain, is examined. When the existence of such a singularity is denied on physical grounds continuum mechanics energy balance considerations suggest that initial unstable crack extension is by a discrete growth step of characteristic size Δa.
Résumé
On examine la théorie suivant laquelle la vitesse de relaxation de l'énergie de Griffith non évanescente requiert une singularité du type r −1 au sommet d'une fissure pour exprimer l'intensité d'énergie, à savoir le produit de la contrainte et de la dilatation. Si l'existence de telle singularité est critiquée sur les bases physiques, des considérations d'équilibre d'énergie de mécanique des milieux continus suggèrent qu'une extension initiale d'une fissure instable s'effectue par un ressaut de croissance discrète caractérisé par une dimension Δa.
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Kfouri, A.P. Continuous crack growth or quantized growth steps?. Int J Fract 15, 23–29 (1979). https://doi.org/10.1007/BF00115905
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DOI: https://doi.org/10.1007/BF00115905