Clay 1969:
I'm confused by this question. "UC triaxial" test. I'm used to "UC" as an unconfined compression test - it's triaxial, with sigma 3 as the atmospheric pressure.
Also, I'm not clear on the "dilation" angle. Dense granular materials will dilate during shear due to the effects of interlocking of the material. Is this "dilation angle" the difference in failure envelope angle between the material sheared with no volume change (no dilation, no contraction) versus dilation?