Calculation of granato-lücke frequency dependent internal friction as influenced by prolonged vibration

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Abstract
Granato-Lücke frequency dependent internal friction has been calculated for distributions of pinning points at dislocations as they can be anticipated to exist after a prolonged vibration at a temperature where pinning points are mobile along dislocations. Corresponding to the splitting of the impurity loop length distribution into two branches, the maximum of the internal friction curve versus frequency also splits into two. Their common high frequency slope stays virtually unchanged, while the low frequency slope is enhanced by a factor f, the measurement of which should allow a rather critical comparison of the consequences of the model to the experiment.