基于统一强度理论的矩形巷道塑性区宽度计算  

A calculation method of plastic zone width for rectangular roadway based on unified strength theory

作　　者：高鹏 杨自友 尚阳光 张煜 蔡永彬 GAO Peng;YANG Zi-you;SHANG Yang-guang;ZHANG Yu;CAI Yong-bin(School of Civil Engineering,Anhui Jianzhu University,Hefei 230601,China)

机构地区：[1]安徽建筑大学土木工程学院,安徽合肥230601

出　　处：《河南城建学院学报》2023年第2期16-23,共8页Journal of Henan University of Urban Construction

基　　金：安徽省高校自然科学研究重点项目(KJ2021A0610)。

摘　　要：基于应力平衡原理,将统一强度理论作为矩形巷道围岩的塑性条件,推导出矩形巷道边帮的塑性区宽度计算公式;通过中间主应力系数b的变化,得出了在Mohr-Coulomb准则下矩形巷道边帮塑性区宽度计算公式。结合具体案例,将统一强度理论系列解与Drucker-Prager准则解进行比较,分析了采场宽度、岩体黏聚力、岩体内摩擦角以及原始地应力对塑性区宽度的影响规律。结果表明:塑性区宽度随着黏聚力和内摩擦角的增大而减小,随着采场宽度和原始地应力的增大而增大;相同采场宽度下,统一强度理论系列解比Mohr-Coulomb准则解和Drucker-Prager准则解小,适用性更好,可为矩形巷道设计及支护提供一定的理论指导。Based on the principle of stress balance,the calculation formula of plastic zone width of rectangular tunnel side is derived by using the unified strength theory as the plastic condition for the surrounding rock of a rectangular tunnel.Through the change of intermediate principal stress coefficient b,the calculation formula of plastic zone width of rectangular tunnel side is obtained under Mohr-Coulomb criterion.Combined with specific cases,the unified strength theory series solution is compared with the Drucker-Prager criterion solution,and the influence laws of stope width,rock cohesion,rock internal friction angle and original ground stress on the width of plastic zone are analyzed.The results show that the width of the plastic zone decreases with the increase of cohesion and internal friction angle,and increases with the increase of stope width and primary pressure.Under the same stope width,the solution of unified strength theory series is smaller than that of Mohr-Coulomb criterion and Drucker-Prager criterion.The solution of unified strength theory shows better comparability,which can provide certain theoretical guidance for the design and support of rectangular roadway.

关 键 词：矩形巷道 塑性区宽度 应力平衡原理 中间主应力系数 统一强度理论 

分 类 号：TU457[建筑科学—岩土工程]