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Holcomb & Stevens 1980
Holcomb, D.J. and Stevens, J.L. (1980). The Reversible Griffith Crack: A Viable Model for Dilatancy. Journal of Geophysical Research 85: doi: 10.1029/JB080i012p07101. issn: 0148-0227.

Previous work (paper I) on the mechanism of dilatancy has outlined the deficiencies of the sliding crack model. We have developed a new model, based on reversible Griffith crakcs, that is in accord with experimental results to data. These results can be summarized as follows: (1) dilatant rock exhibits volume increases at sufficiently high increasing and differential stress, (2) there is substantial hysteresis in physical properties between increasing and decreasing stress, (3) examination of stressed and unstressed samples, using a scanning electron microscope, reveals stress-induced cracks that are preferentially oriented with the crack plane close to the maximum compressive stress axis, (4) few shear cracks (required by the sliding crack model) are observed, and (5) dilatant rock exhibits 'memory' of the maximum differential stress since the last complete unloading. When returned to this stress state, the physical properties return to their previous values but at other stress states there is large hysteresis between loading and unloading. A classical Griffith crack exhibits all of these properties if it is postulated to be reversible. That is, below a critical stress, the crack closes in an unstable mode and healing occurs. This behavior requires close registration of the crack faces.

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Journal
Journal of Geophysical Research
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American Geophysical Union
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