Abstract
Steady state crack propagation in solids is analyzed as a thermally activated process. The fracture mechanics concept of a crack driving force is formally introduced to molecular rate theory. This representation of crack propagation appears to be, in many aspects, similar to that of the motion of a dislocation under a shear stress across thermal obstacles. The basic thermodynamic relations are derived for steady state crack propagation using assumptions similar to those well accepted in theories of deformation based on thermally activated dislocation motion.
Résumé
La propagation stationnaire d'une fissure dans un solide est analysée en tant qu'un processus d'activation thermique. Le concept d'une force d'extension de la fissure, utilisé en mécanique de la rupture, est formellement introduit dans la théorie cinétique moléculaire. Cette représentation de la propagation d'une fissure apparaît, en maint aspects, similaire à celle du mouvement d'une dislocation sous l'effect d'une contrainte de cisaillement à traver des obstacles thermiquement franchissables. On dérive les relations thermodynamiques fondamentales pour la propagation stationnaire d'une fissure, à partir d'hypothèses simplificatrices similaires à celles couramment acceptées dans les théories de déformation basées sur le mouvement thermiquement activé des dislocations.
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Pollet, J.C., Burns, S.J. Thermally activated crack propagation — theory. Int J Fract 13, 667–679 (1977). https://doi.org/10.1007/BF00017299
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DOI: https://doi.org/10.1007/BF00017299