基于蝶形破坏理论的巷道围岩变形破坏规律研究

Research on the Deformation and Failure Law of Surrounding Rock in Tunnels Based on Butterfly Failure Theory

  • 摘要: 巷道围岩稳定性是地下采矿工程围岩控制的核心科学问题。为了研究巷道围岩变形破坏规律,探究最大主应力、最小主应力、垂直平面应力和最大主应力角度对巷道蝶形破坏的作用机理,系统揭示巷道蝶形破坏的力学演化机制,建立数值模型,基于蝶形破坏理论分析各影响因素变化下围岩变形规律。研究表明:蝶形塑性区蝶叶的大小与所受应力大小呈正相关,随着主应力的不断增加,压剪塑性域呈现显著收敛特征,其几何中心距巷道边界距离与主应力呈负指数关系,而拉伸应力形成的塑性区则在原方向不断扩展;最大主应力对围岩位移的影响最大,最小主应力影响最小。最大主应力从12 MPa增加到50 MPa时,最大位移量从0.098 m增至0.76 m,且巷道断面左右拱腰、拱顶及拱底位移量呈现出从两侧端点向中间位置逐渐增大的特点;最大主应力方位角的偏转触发塑性区主扩展轴的逆时针旋转,没有形成完整蝶叶;在垂直平面应力持续加载条件下,围岩呈现自组织平衡响应,压剪区与张裂区在双向应力协同作用下形成对称均衡态;拱顶与两侧帮交界处剪应力突变,且左右两侧分别受到压应力和拉应力。

     

    Abstract: The stability of surrounding rock in tunnels is a core scientific issue in underground mining engineering practices. In order to study the deformation and failure laws of surrounding rock in tunnels, this paper explores the action mechanisms of maximum principal stress, minimum principal stress, vertical plane stress, and maximum principal stress angle on the butterfly−shaped failure of tunnels, systematically reveals the mechanical evolution mechanism of butterfly−shaped failure of tunnels, and analyzes the deformation laws of surrounding rock under the influence of various changing factors based on the butterfly−shaped failure theory through numerical models. The results show that the size of butterfly blades in the butterfly−shaped plastic zone is positively correlated with the magnitude of stress applied. With the continuous increase of principal stress, compressive shear plastic zone exhibits significant convergence, and the distance between its geometric center and the tunnel boundary is negatively exponentially related to the principal stress, but with the plastic zone formed by tensile stress further expanding in the original direction. The impact of maximum principa stress on the displacement of surrounding rock is the greatest while that of minimum principal stress is the least. With the increase of maximum principal stress from 12 MPa to 50 MPa, the maximum displacement of surrounding rock increases from 0.098 m to 0.76 m, accompanied by a gradual increase in the displacement of left and right arch waists, arch crown, and arch bottom of the tunnel from the endpoints on both sides to the middle. The deviation of maximum principal stress azimuth triggers the counterclockwise rotation of the main extension axis of the plastic zone, without forming a complete butterfly blade. As plane stress is continually vertically applied, surrounding rock presents a self−organized equilibrium response, with a symmetrical equilibrium state formed between the compressive shear zone and tension fracture zone under the synergistic action of bidirectional stress. The shear stress at the junction of the arch crown and the two sides suddenly changes, and the left and right sides are respectively subjected to compressive stress and tensile stress.

     

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