A nonlinear strength criterion for rock-like materials based on fracture mechanics

作者:Zuo, Jian-ping*; Li, Hong-tao; Xie, He-ping; Ju, Yang; Peng, Su-ping
来源:International Journal of Rock Mechanics and Mining Sciences, 2008, 45(4): 594-599.
DOI:10.1016/j.ijrmms.2007.05.010

摘要

A nonlinear strength criterion for rock-like materials is developed in this paper. Taking a as an angle of micro-failure orientation in rock-like materials, a formulation between alpha and load is derived from a mixed-mode fracture criterion based on linear elastic fracture mechanics. According to micro-failure experimental phenomena of rock-like materials, a failure characteristic parameter under triaxial compression condition is chosen, which is relevant to con. ning pressure and is an invariant. A theoretical nonlinear strength criterion is also derived, which is exactly in the same mathematical form as the original Hoek-Brown empirical strength criterion. In addition, it is also found that the coefficient m in the Hoek-Brown criterion has physical meaning which is related to the ratio between the uniaxial compressive strength and the uniaxial tensile strength.