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金属矿山 ›› 2024, Vol. 53 ›› Issue (2): 88-.

• 采矿工程 • 上一篇    下一篇

考虑软化和扩容的圆形巷道围岩Z-P 准则弹塑性解

经来旺 谢金鑫 尚佳乐 冯瑜腾 蒋浩杰 经 纬   

  1. 安徽理工大学土木建筑学院,安徽 淮南 232001
  • 出版日期:2024-02-15 发布日期:2024-04-03
  • 基金资助:
    国家自然科学基金项目(编号:51904012);安徽省高等学校自然科学研究重点项目(编号:KJ2019A0099)

Elastoplastic Solution for Surrounding Rock of Circular Roadway Based on Z-P Criterion by Considering Softening and Dilatancy

JING Laiwang XIE Jinxin SHANG Jiale FENG Yuteng JIANG Haojie JING Wei   

  1. School of Civil Engineering and Architecture,Anhui University of Science and Technology,Huainan 232001,China
  • Online:2024-02-15 Published:2024-04-03

摘要: 巷道围岩受应力作用表现出的软化、扩容行为对巷道的变形和破环有重大影响。为了研究软化、扩容 特性对巷道围岩稳定性的影响,根据岩体的软化特性,建立理想的弹性软化模型,将围岩分为弹性区、塑性软化区和 破裂区;基于Zienkiewicz-Pande 准则和非关联流动法则,考虑围岩的软化、扩容特性,推导出含中间主应力的圆形巷道 弹塑性解析解;将Z-P 准则与M-C、D-P 等准则进行比较,分析了软化模量、扩容等因素对巷道围岩的影响。结果表 明:Z-P 准则可良好地适用于发生软化、扩容的巷道;中间主应力系数为0. 4 时,围岩塑性区范围最小,围岩位移最小, 塑性区内应力最大;软化模量越大,围岩破裂区半径越大;剪胀角越大,塑性区位移越大,破裂区半径越大;支护阻力越 大,巷道塑性区范围越小,且提高支护阻力能有效控制巷道围岩的变形。

关键词: Z-P 准则 软化 扩容 中间主应力 弹塑性分析

Abstract: The softening and dilatancy behaviour exhibited by the stresses on the surrounding rock of the roadway has a significant impact on the deformation and breaking of the roadway ring. In order to study the influence of softening and dilatancy characteristics on the stability of the rock surrounding the roadway. According to the softening characteristics of the rock mass,an ideal elastic softening model is established and the surrounding rock is divided into the elastic zone,the plastic softening zone and the fracture zone. Based on the Z-P criterion and the non-associative flow law,the elastic-plastic analytical solution for circular roadways with intermediate principal stresses is derived by considering the softening and dilatancy characteristics of the surrounding rock. The Z-P criterion is compared with the M-C and D-P criteria,the influence of softening modulus, dilatancy and other factors on the roadway surrounding rock is analysed. The results show that the Z-P criterion is well suited to the softening and dilatancy of the roadway. At an intermediate principal stress factor of 0. 4,the plastic zone of the surrounding rock is the smallest,the displacement of the surrounding rock is the smallest,and the stress in the plastic zone is the largest. The larger the softening modulus,the larger the radius of the fracture zone of the surrounding rock. The larger the shear expansion angle,the larger the displacement of the plastic zone and the larger the radius of the fracture zone. The stronger the support resistance,the smaller the plastic zone of the roadway,and increasing the support resistance can effectively control the deformation of the roadway surrounding rock.

Key words: Z-P criterion,softening,dilatancy,intermediate principal stress,elastic-plastic analysis