Hoek-Brown强度准则的断裂力学理论研究  

Theoretical research of Hoek - Brown empirical strength criterion

作　　者：李洪涛[1] 左建平[2] 李辉[2] 

机构地区：[1]中国矿业大学北京校区基础科学院,北京100083 [2]中国矿业大学北京校区岩石力学与分形研究所,北京100083

出　　处：《岩土工程学报》2004年第2期212-215,共4页Chinese Journal of Geotechnical Engineering

基　　金：国家自然科学基金创新研究群体资助项目(50221402)

摘　　要：采用Griffith关于岩石内部微裂纹分布的假定,用一个角量 来表征三轴压力下岩石内微破裂密度,依据线弹性断裂力学中复合裂纹问题的有关准则,导出了 与外载的关系,进而以岩石受压过程中的细观现象为基础,选取 (即 对轴向应力的变化率)作为岩石在三轴压力下的破坏特征量,从理论上导出了与Hoek-Brown经验强度准则完全一致的强度公式。By adopting the Griffith hypothesis of micro-crack distribution and taking an angle to describe the density of micro-fracture in rock, we have deduced the relation between the angle and load according to the relative principle about composite crack in linear and elastic fracture mechanics in this paper.Then according to mesoscale phenomenon in the course of rock compression, we choose acos /a ∑1 (the change rate of cos with axial stress) as the damage characteristic value of rock under triaxial compression test and deduce a theoretical strength criterion. The result perfectly coincides with Hoek-Brown Empirical Strength Criterion in mathematical expression. We prove that Hoek-Brown Empirical Strength Criterion is reasonable,and the physical coefficient m is related to the ratio between axial compression strength a, and extension strength σ1.

关 键 词：断裂力学 三轴压力 HOEK-BROWN强度准则 岩石力学 岩石强度 

分 类 号：TU452[建筑科学—岩土工程] O34[建筑科学—土工工程]