黄阜, 杨小礼, 赵炼恒, 凌同华. 基于非线性破坏准则和强度折减法的浅埋隧道安全系数上限解[J]. 工程力学, 2013, 30(12): 160-166. DOI: 10.6052/j.issn.1000-4750.2012.08.0600
引用本文: 黄阜, 杨小礼, 赵炼恒, 凌同华. 基于非线性破坏准则和强度折减法的浅埋隧道安全系数上限解[J]. 工程力学, 2013, 30(12): 160-166. DOI: 10.6052/j.issn.1000-4750.2012.08.0600
HUANG Fu, YANG Xiao-li, ZHAO Lian-heng, LING Tong-hua. UPPER BOUND SOLUTIONS OF SAFETY FACTOR FOR SHALLOW TUNNELS SUBJECTED TO NONLINEAR FAILURE CRITERION AND STRENGTH REDUCTION METHOD[J]. Engineering Mechanics, 2013, 30(12): 160-166. DOI: 10.6052/j.issn.1000-4750.2012.08.0600
Citation: HUANG Fu, YANG Xiao-li, ZHAO Lian-heng, LING Tong-hua. UPPER BOUND SOLUTIONS OF SAFETY FACTOR FOR SHALLOW TUNNELS SUBJECTED TO NONLINEAR FAILURE CRITERION AND STRENGTH REDUCTION METHOD[J]. Engineering Mechanics, 2013, 30(12): 160-166. DOI: 10.6052/j.issn.1000-4750.2012.08.0600

基于非线性破坏准则和强度折减法的浅埋隧道安全系数上限解

UPPER BOUND SOLUTIONS OF SAFETY FACTOR FOR SHALLOW TUNNELS SUBJECTED TO NONLINEAR FAILURE CRITERION AND STRENGTH REDUCTION METHOD

  • 摘要: 隧道工程中常用的安全系数是一种评估隧道稳定性的有效指标。为了研究非线性破坏准则下浅埋隧道的稳定性,基于已有的直线型多块体破坏机制,采用切线法将非线性破坏准则引入上限定理的能耗计算,结合强度折减法,构建了极限状态下隧道安全系数的目标函数。采用序列二次优化迭代法对此目标函数进行优化,得到了浅埋隧道整体安全系数的上限解,并对不同参数作用下浅埋隧道安全系数的变化规律进行了研究。研究结果表明:非线性系数m对隧道安全系数和极限状态下隧道破坏面的影响十分显著。当其他参数一定时,安全系数随非线性系数m的增大而减小。极限状态下隧道破坏面随m的增大向外扩展,潜在破坏范围增大。

     

    Abstract: The frequently used safety factor is an effective index for evaluating the stability of a tunnel. To study the stability of a shallow tunnel subjected to a nonlinear failure criterion, the nonlinear failure criterion was introduced into the energy calculation of upper bound theorem by using generalized tangential technique. Based on the existing rigid multiple blocks failure mechanism, combining strength reduction technique, the objective function of the safety factor for a shallow tunnel in the limit state was established. Employing the sequential quadratic programming to optimize this objective function, the upper bound solutions of safety factor for a shallow tunnel were obtained. The changing law of safety factor for different parameters was investigated. The results of parametric analysis show that the influence of nonlinear coefficient mon the safety factor and failure surface of the shallow is significant. Moreover, the safety factor decreases with the increase of nonlinear coefficient mand the failure surface enlarges with the increase of nonlinear coefficient mwhile keeping other parameters constant.

     

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