✍ Scribed by J.S. Short; D.W. Hoeppner
No coin nor oath required. For personal study only.
A~~ct-Fatigue cracks in FCC single crystals often propagate along planar slip bands which form on (1111 planes ahead of the propagating crack. Such crystallographic crack propagation behavior, which develops even in sharp notched fatigue specimens subjected to mode I loading, is not predicted by any of the currently available criteria for determining crack plane orientation under mixed mode loading conditions. In this paper the following hypothesis is investigated:
maximal dissipation rate criterion is developed via consideration of a simple energy balance. The criterion is shown to be ~~vaIent under certain conditions to a form of the maximum energy release rate criterion. A special case of the criterion applicable to planar slip band cracks in FCC single crystals is also developed. NOMENCLATURE crack tip translation rate Burgers vector incrementai area element swept out by a moving dislocation incremental dislocation displacement vector increment of available work lost during dislocation motion small strain rate tensor rotation tensor ~ssipative force per unit length on a dislocation global dissipation rate dissipation rate per unit mass fracture energy rate vector fracture energy rate per unit mass translational energy release rate vector crack plane unit normal vector mass density dissipative stress tensor slip band dissipative traction vector velocity of mass element ahead of crack tip hysteresis energy rate partial derivative with respect to spatial coordinate x, partial derivative with respect to time
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