摘要
Hoek-Brown屈服准则广泛用于巷道围岩弹塑性分析,然而广义Hoek-Brown屈服准则为非线性函数,导致静水压力条件下圆形巷道围岩弹塑性位移的解析解无法获得。基于广义Hoek-Brown屈服准则和非关联流动法则,推导圆形巷道围岩应力理论解;利用变量代换方法,将巷道塑性区围岩位移解表达式中以对数函数为底数的指数积分项转化为幂函数与指数函数的乘积形式;进一步借助级数展开方法,将其转换为一系列幂函数之和的积分项,最终获得塑性区围岩径向位移的解析表达式。通过5种典型理想弹(脆)塑性岩石算例,将解析解与数值积分解、近似理论解进行对比,验证了文中解析解的正确性,可为广义Hoek-Brown屈服地层中圆形巷道的弹塑性分析提供理论基准。
The Hoek-Brown yield criterion is widely used in elastoplastic analysis on surrounding rock of roadways.However,due to the nonlinearity of the generalized Hoek-Brown yield criterion,an analy-tical solution for the elastoplastic displacement of circular tunnel surrounding rock under hydrostatic pres-sure based on this criterion has not yet been derived.In this study,a theoretical solution for the stress in the surrounding rock of a circular roadway was derived with reference to the generalized Hoek-Brown failure criterion and the non-associated flow characteristics.Using the variable substitution method,the expression for the displacement of surrounding rock in the plastic zone was transformed from an exponential function with a logarithmic base into a product form of power and exponential functions.Subsequently,through a series of expansion,the expression was converted into an integral of a series of such functions.In this way,a closed-form solution for the radial displacement in the plastic zone was obtained.Finally,the correctness of the proposed solution was verified through a comparison with numerical integration and semi-analytical solutions for five types of elasto(brittle)-plastic rock masses.This analytical solution can serve as a benchmark for elastoplastic analysis on circular roadways in rock masses that obey the generalized Hoek-Brown yield criterion.
作者
王红英
张强
吴培楠
韩立军
韩贵雷
WANG Hongyingg;ZHANG Qiang;WU Peinan;HAN Lijun;HAN Guilei(State Key Laboratory of Intelligent Construction and Health Operation and Maintenance of Deep Underground Engineering,China University of Mining and Technology,Xuzhou,Jiangsu 221116,China;School of Mechanics and Civil Engineering,China University of Mining and Technology,Xuzhou,Jiangsuu 221116,China;School of Transportation Engineering,Jiangsu Vocational Institute of Architectural Technology,Xuzhou,Jiangsu 221116,China;North China Engineering Investigation Institute Co Ltd,Shijiazhuang,Hebei 050021,China)
出处
《采矿与安全工程学报》
北大核心
2025年第4期789-797,共9页
Journal of Mining & Safety Engineering
基金
国家自然科学基金项目(52074269)。
