Publications

Bifurcation theory applied to granite under general states of stress

Ingraham, Mathew D.; Dewers, Thomas D.; Williams, Michelle W.; Cheung, C.S.N.; Haimson, B.C.

A series of tests have been performed on Sierra White granite subjected to general (true triaxial) states of stress. Tests were performed under constant Lode angle conditions at Lode angles of 23.4, 16.1 and 0°. The constant Lode angle condition was maintained by holding the minimum principal stress constant while increasing the maximum and intermediate principal stress at a predetermined ratio. Tests were performed at minimum principal stresses of 5, 17 and 30 MPa. All of the specimens failed in a brittle manner, with significant dilatant volume strain accumulated, and failure showed a strong dependence on Lode angle. Specimens behaved in a nearly linear elastic manner until approximately 75% of the peak stress was reached. The angle of the failure feature (shear band) was compared to predictions developed by using the Rudnicki and Rice (1975) localization criterion. It was found that there was good agreement (within 7°) between the experimental results and theoretical predictions.