Abstract
Starting with equations developed in Part I for the opening mode of displacement, simple, approximate relations are derived for predicting the time of fracture initiation and crack tip velocity in linearly viscoelastic media. First we use the assumption that the second derivative of the logarithm of creep compliance with respect to logarithm of time is small (which is normally valid for viscoelastic materials); we next derive a relation between instantaneous values of tip velocity and stress intensity factor. This result is then used to examine some characteristics of crack growth behavior. Finally, some results are obtained for the separate problem of predicting the time at which propagation initiates.
Résumé
En partant des équations établies dans la première partie pour le mode d'ouverture qui caractérise un déplacement, des relations simples et approchées sont déduites en vue de prédire le moment d'amorçage de la fissure et la vitesse de la pointe de la fissure pour des milieux à viscoélasticité linéaire. En premier lieu, on fait l'hypothèse que la dérivée seconde du logarithme de la compliance quant au fluage est petite vis à vis du logarithme du temps, ce qui est normalement valide dans le cas des matériaux viscoélastiques. On en tire une relation entre les valeurs instantanées de la vitesse de déplacement de la pointe de la fissure et le facteur d'intensité des contraintes. Le résultat de cette analyse est ensuite utilisé pour examiner certaines caractéristiques du comportement de la fissure en croissance. Enfin, on obtient certains résultats en ce qui regarde le problème distinct de prévoir le moment auquel s'amorce la propagation de la forme.
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Part I is published in Vol. 11, No. 1 (1975) 141–159.
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Schapery, R.A. A theory of crack initiation and growth in viscoelastic media II. Approximate methods of analysis. Int J Fract 11, 369–388 (1975). https://doi.org/10.1007/BF00033526
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DOI: https://doi.org/10.1007/BF00033526