Abstract
On the basis of fractal consideration, the roughness of a natural profile is described appropriately by a combination of fractal dimension and amplitude parameter. The approach proposed to determine the critical asperities is practical to implement. It is logically sound and consistent with the observations in experimental studies. This study presents a rock joint constitutive model that represents the behavior of both a small-scale joint in the laboratory and a large-scale joint in the field. The model can be incorporated into discrete element computer codes using a program language in order to solve boundary value problems. Hypothetical examples are presented to show that the model is consistent with commonly held ideas about joint opening behavior. Although some simplifications are involved, the main mechanics of strength loss along the joint are well represented. The simulation results indicate that the magnitude of the relative normal stress plays the most important role in affecting dilation. A semilogarithmic equation is proposed to represent the normal deformation behavior of opened rock joints. The agreement between experimental results and prediction from the proposed equation is very good.
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