Abstract
A finite difference scheme, recently proposed and mainly concerned with the DCB static solution under plane strain conditions, is here further extended to provide more information on fast crack propagation and arrest. The analysis is shown to predict crack lengths at arrest and crack velocities as well as dynamic stress intensity factors which are very close to those reported in the literature. This good agreement with experimental findings was obtained for steel and epoxy resin which, while in different classes of material, nevertheless as far as the analysis is concerned are distinguished only by their Poisson's ratios.
Résumé
Un schéma par différence finie proposé récemment et relatif principalement à la solution statique d'une éprouvette double cantilever sous conditions d'état plan de déformation, est étendu à l'obtention d'informations complémentaires sur les conditions de propagation instable et d'arrêt d'une fissure.
L'analyse prédit des longueurs de fissure à l'arrêt et des vitesses de fissuration, ainsi que les facteurs d'intensité de contrainte dynamique qui sont très proches de ceux que l'on trouve dans la littérature. Ce bon accord avec les observations expérimentales a été obtenu pour de l'acier et pour une résine époxy, deux matériaux qui, bien que de classes différentes, ne se distinguent néanmoins dans le cadre de l'analyse que par leur modules de poisson.
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Shmuely, M. Analysis of fast fracture and crack arrest by finite differences. Int J Fract 13, 443–454 (1977). https://doi.org/10.1007/BF00034246
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DOI: https://doi.org/10.1007/BF00034246