超固结黏土中不排水柱孔扩张弹塑性解及应用

ELASTOPLASTIC SOLUTION AND APPLICATION OF UNDRAINED CYLINDRICAL CAVITY EXPANSION IN OVERCONSOLIDATED CLAY

  • 摘要: 为求得超固结黏土中考虑K0影响的柱孔不排水扩张精确解,该文基于黏土和砂土模型(CASM)屈服准则,采用经典的应力剪胀关系,充分考虑土体静止土压力参数K0和重度超固结比,运用非相关联流动法则进行应力空间转换,进而建立超固结黏土中考虑K0影响情况下柱孔不排水扩张问题的一阶偏微分方程组求解模型。根据弹塑性边界已知的应力和位移条件,通过数值求解方法确定柱孔扩张模型的精确解。对比修正剑桥模型(MCC)解,基于SMP准侧改进的修正剑桥模型(SMP-MCC)解及黏土和砂土统一硬化模型(CSUH)解进行参数分析表明:当土体OCR≤2时,该文方法较好地模拟土体单元屈服应力和破坏应力;当土体OCR>2时,该文方法克服了超固结黏土高估屈服应力和破坏应力;当K0由1.0变化到2.5时,归一化极限扩孔压力由5.4变化到3.2,归一化极限超静孔隙水压力由2.4变化到1.0。并通过现场实测数据验证了该文方法的实用性与正确性。

     

    Abstract: To obtain an accurate solution for the undrained cylindrical cavity expansion in over-consolidated clay considering the influence of K0, this study uses the Clay and Sand Model (CASM) yield criterion, adopts the classic stress-dilatancy relationship, and fully considers the static soil pressure parameter K0 and the heavy over-consolidation ratio. The non-associated flow rule is used to transform the stress space, and then the solution model of first-order partial differential equations is established for the undrained cylindrical cavity expansion in the over-consolidated clay under the influence of K0. According to the known stress and displacement conditions of the elastoplastic boundary, the accurate solution of the cylindrical cavity expansion model is determined by a numerical solution method. Comparing the modified Cambridge model (MCC) solution, the Modified Cambridge model (SMP-MCC) solution based on SMP yields criterion and the solution of unified hardening model of clay and sand (CSUH), the parameter analysis show that: when the soil OCR ≤2, the method proposed can simulate the yield stress and failure stress of the soil element well. When the soil OCR>2, this method overcomes the overestimation of yield stress and failure stress of over-consolidated clay. When K0 changes from 1.0 to 2.5, the normalized ultimate expansion pressure changes from 5.4 to 3.2; the normalized ultimate expansion excess pore water pressure changes from 2.4 to 1.0. And the practicality and correctness of this method are verified by field measured data.

     

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