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全长黏结式锚杆沿程应力分布模拟方法
引用本文:袁彦辉,肖明,陈俊涛.全长黏结式锚杆沿程应力分布模拟方法[J].岩土力学,2018,39(5):1908-1916.
作者姓名:袁彦辉  肖明  陈俊涛
作者单位:1. 武汉大学 水资源与水电工程科学国家重点实验室,湖北 武汉 430072; 2. 武汉大学 水工岩石力学教育部重点实验室,湖北 武汉 430072
基金项目:国家重点基础研究发展项目(973计划)(No. 2015CB0579004);国家自然科学基金(No. 51579191)。
摘    要:全长黏结式锚杆是地下洞室常用的一种围岩支护手段。研究全长黏结式锚杆沿程应力分布特性对于锚杆-围岩组合体的稳定性评价具有重要的作用。利用单元嵌入计算格式,建立锚杆-围岩组合体中锚杆的等效模拟方法。通过轴对称四边形单元模拟锚杆内部变形,据此推导该单元内力、切线刚度及锚杆模型固有内力、计算刚度,最终通过整体及局部坐标的变换建立锚杆模型附加内力及切线刚度的计算方法。锚杆的非线性特性主要由接触面失效、杆体屈服引起,该方法能够较方便地应用隐式有限元计算格式,对围岩及锚杆的非线性特性进行统一分析。该方法在反映锚杆对围岩支护效果的同时,能够较好地反映锚杆的沿程应力分布特性。

关 键 词:全长黏结式锚  应力分布  单元嵌入  轴对称四边形单元  
收稿时间:2017-03-02

A method for simulating stress distribution along fully grouted anchor
YUAN Yan-hui,XIAO Ming,CHEN Jun-tao.A method for simulating stress distribution along fully grouted anchor[J].Rock and Soil Mechanics,2018,39(5):1908-1916.
Authors:YUAN Yan-hui  XIAO Ming  CHEN Jun-tao
Institution:1. State Key Laboratory of Water Resources and Hydropower Engineering Science, Wuhan University, Wuhan, Hubei 430072, China; 2. Key Laboratory of Rock Mechanics in Hydraulic Structural Engineering, Ministry of Education, Wuhan University, Wuhan, Hubei 430072, China
Abstract:The fully grouted anchor is a commonly used support method for surrounding rock in underground caverns. It is important to investigate the stress distribution along the fully grouted anchor for evaluating the stability of the combined structure of the anchor and the surrounding rock. By utilising the element embedding formulation, an equivalent method was established to simulate the anchor in the combined structure. The internal deformation of the anchor was simulated by using the axisymmetric quadrilateral element. Accordingly, the internal force and tangent stiffness of the element, the inherent internal force and algorithmic tangent stiffness of the anchor model were derived. Finally, formulations of the additional internal force and tangent stiffness of the anchor model were deduced by using the transformation between the global and local coordinates. The nonlinearity of the anchor was mainly caused by the interface failure and anchor yielding. This method can easily apply the implicit finite element formulation to perform an integrated analysis for the nonlinearity of the surrounding rock and the anchor. Therefore, this method can not only simulate the supporting effect of anchor for the surrounding rock, but also reflect the stress distribution along the anchor.
Keywords:fully grouted anchor  stress distribution  element embedding  axisymmetric quadrilateral element  
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