王洪涛, 李术才, 王琦, 苗素军, 江贝. 非线性破坏准则下水平浅埋条形锚板抗拔承载力的极限分析[J]. 工程力学, 2014, 31(2): 131-138. DOI: 10.6052/j.issn.1000-4750.2012.09.0699
引用本文: 王洪涛, 李术才, 王琦, 苗素军, 江贝. 非线性破坏准则下水平浅埋条形锚板抗拔承载力的极限分析[J]. 工程力学, 2014, 31(2): 131-138. DOI: 10.6052/j.issn.1000-4750.2012.09.0699
WANG Hong-tao, LI Shu-cai, WANG Qi, MIAO Su-jun, JIANG Bei. LIMIT ANALYSIS OF ULTIMATE PULLOUT CAPACITY OF SHALLOW HORIZONTAL STRIP ANCHOR PLATE BASED ON NONLINEAR FAILURE CRITERION[J]. Engineering Mechanics, 2014, 31(2): 131-138. DOI: 10.6052/j.issn.1000-4750.2012.09.0699
Citation: WANG Hong-tao, LI Shu-cai, WANG Qi, MIAO Su-jun, JIANG Bei. LIMIT ANALYSIS OF ULTIMATE PULLOUT CAPACITY OF SHALLOW HORIZONTAL STRIP ANCHOR PLATE BASED ON NONLINEAR FAILURE CRITERION[J]. Engineering Mechanics, 2014, 31(2): 131-138. DOI: 10.6052/j.issn.1000-4750.2012.09.0699

非线性破坏准则下水平浅埋条形锚板抗拔承载力的极限分析

LIMIT ANALYSIS OF ULTIMATE PULLOUT CAPACITY OF SHALLOW HORIZONTAL STRIP ANCHOR PLATE BASED ON NONLINEAR FAILURE CRITERION

  • 摘要: 基于非线性Mohr-Coulomb强度准则, 根据相关联的流动法则, 构造出条形锚板上方土体破坏的机动许可场, 利用极限分析上限法, 结合变分原理, 推导出了水平浅埋条形锚板极限抗拔力的表达式与极限状态下对应的土体破裂机制, 讨论了不同锚板设计参数与土体强度参数, 对锚板极限抗拔力与土体破裂机制的影响, 并将该文计算结果与不同计算方法对应计算结果进行了对比。计算表明:随着锚板埋置深度、土体初始粘聚力与重度的增加, 锚板的极限抗拔力不断增大;该文提出的土体破裂机制, 与现有文献中的试验结果一致, 破裂曲面的形状主要取决于非线性系数m的大小, 而且非线性系数m对锚板极限抗拔力也有着显著的影响, 随着非线性系数m增加, 锚板抗拔力非线性不断降低, 土体破裂范围不断减小, 破裂曲面的曲率则不断增加, 当m=1.0时, 破裂曲面退化为一平直面。该文上限解计算结果与现有文献计算成果以及数值计算结果非常接近, 从而证明了该计算方法的有效性, 为条形锚板的设计提供一定参考。

     

    Abstract: Based on a nonlinear Mohr-Coulomb failure criterion and an associated flow rule, a kinematic admissible velocity field of failure mechanism of soil above an anchor plate was constructed, and the ultimate pullout force and failure mechanism of a shallow horizontal strip anchor plate were deduced through the upper bound limit analysis according to a variation principle. The influences of design parameters of anchor plates and soil parameters on ultimate pullout forces and failure mechanisms were analyzed, and the comparison between upper bound solution and different solutions was also conducted. The results reveal that the ultimate pullout force of an anchor plate will increase with the improvement of buried depth, initial cohesion and soil unit weight, that the failure mechanism of soil proposed is consistent with the test results of existing literatures, that the shape of failure surface depends on the magnitude of non-linear parameter m, and that non-linear parameter m also have a significant influence on the ultimate pullout force. With the improvement of parameter m, the ultimate pullout force will decrease nonlinearly, the rupture range of soil will also shrink, while the curvature of failure curved surface increases accordingly, and curved surface will degenerate into a flat surface when m is equal to 1. The upper bound solution is extremely close to existing solutions and numerical calculation solutions, which shows the effectiveness of this method, and provides some references for the design of anchor plates.

     

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