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首页> 外文期刊>Acta Geotechnica: An International journal for Geoengineering >An analytical solution for stresses induced by a post-tensioned anchor in rocks containing two perpendicular joint sets
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An analytical solution for stresses induced by a post-tensioned anchor in rocks containing two perpendicular joint sets

机译：后张锚在包含两个垂直节理的岩石中引起的应力的解析解

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摘要

A new analytical approach for the analysis of stress around a post-tensioned anchor in rock with two perpendicular joint sets is presented. The solution considers nonlinear shear stresses developed along the anchor bond length as well as debonding at the tendon-grout interface. The bearing plate effects are also considered in the analyses. The following assumptions are made: (1) homogeneous and orthotropic elastic rock; (2) half-space rock mass with plane strain conditions; (3) trilinear bond-slip model for the behavior of the tendon-grout interface; (4) an elastic anchor. The employed methodology is to decompose the anchor problem into two problems of simpler loadings: stresses produced under a rigid bearing plate and stresses induced by interfacial shear stresses mobilized along the bond length. Based on the proposed solution, an illustrative example is given and the results show that a large compressive region is formed around the anchor free length. Tensile stress concentrations are also observed around the bond length and near the rock surface outside the bearing plate. A parametric study is also conducted to investigate the effects of joint properties on the induced stresses. The results show that as the number of joints intersecting the anchor axis increases, the magnitude of compressive stresses in the free zone decreases, while the size of compression zone around the anchor increases. To verify the results of the analytical approach, a comparison is made with numerical results obtained by using the finite element method. The analytical solutions compare very well with the results obtained by numerical method.
机译：提出了一种新的解析方法，用于分析具有两个垂直节理的岩石中后张锚的应力。该解决方案考虑了沿锚固键长度以及在牛筋-灌浆界面处剥离的非线性剪切应力。分析中还考虑了支承板效应。进行以下假设：（1）均质正交各向异性弹性岩石; （2）具有平面应变条件的半空间岩体; （3）三线性粘结滑移模型，用于腱-灌浆界面的行为; （4）弹性锚。所采用的方法是将锚固问题分解为两个简单载荷的问题：在刚性承压板下产生的应力和沿粘结长度移动的界面剪切应力所引起的应力。基于提出的解决方案，给出了一个说明性的例子，结果表明在自由锚长度附近形成了一个大的压缩区域。在粘结长度附近和轴承板外部岩石表面附近也观察到拉伸应力集中。还进行了参数研究，以研究接头特性对诱导应力的影响。结果表明，随着与锚轴相交的接头数量的增加，自由区的压应力大小减小，而锚周围的压区大小增加。为了验证分析方法的结果，将其与使用有限元方法获得的数值结果进行了比较。解析解与通过数值方法获得的结果非常吻合。

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