Abstract
The theory of linear elastic dynamic fracture mechanics for Heaviside loading of an isolated crack is employed to formulate the response to constant strain-rate loading of a single crack. Numerical integration of the Heaviside solution is shown to lead to fracture initiation stresses that are dependent upon the imposed strain rate. These fracture initiation stresses are also shown to be relatively independent of the crack size and crack shape. The results are used to explain the strain-rate dependent fracture stress observed in some rocks as being a structural response, rather than a basic material property.
Résumé
La théorie de la mécanique de la rupture linéaire élastique dynamique dans le cas d'une mise en charge de Heavyside sur une fissure isolée est utilisée pour la formulation d'une réponse à une sollicitation à vitesse de déformation constante sur une fissure unique. L'équation numérique de la solution de Heavyside est démontrée comme susceptible de conduire aux contraintes d'amorçage d'une fissure qui sont dépendantes de la vitesse de déformation imposée. On montre que les contraintes d'amorçage de la rupture sont relativement indépendantes de la dimension de la fissure et de la forme de la fissure. On utilise les résultats pour expliquer la contrainte à la rupture dépendant de la vitesse de déformation, telle qu'elle est observée dans certains matériaux pierreux, et qui se trouvent être davantage une réponse structurelle qu'une propriété de base du matériau.
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This article sponsored by the U.S. Department of Energy under Contract DE-AC04-76-DP00789
A U.S. Department of Energy Facility.
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Kipp, M.E., Grady, D.E. & Chen, E.P. Strain-rate dependent fracture initiation. Int J Fract 16, 471–478 (1980). https://doi.org/10.1007/BF00016585
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DOI: https://doi.org/10.1007/BF00016585