超固结土中排水圆孔扩张弹塑性UH解

doi:10.11779/CJGE202010016

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摘要目前超固结土中圆孔扩张排水解无法合理考虑超固结土的应力-应变关系和三维强度效应,因而其解答与实际情况存在一定偏差。现有研究表明三维统一硬化（UH）本构模型可以合理描述超固结土的力学特性,基于该模型推导了超固结土中柱孔和球孔扩张的排水半解析解。为得出该问题的精确解答,通过引入辅助变量并联合UH模型、应力转换法和大应变理论等,将弹塑性圆孔扩张问题归结为非线性微分方程组的初值问题。解答中孔周无弹性区,所需的岩土参数与剑桥模型相同。通过与基于修正剑桥模型的解答相对比,详细研究了圆孔扩张过程中孔周超固结土应力场和体积的变化规律。结果表明,预测结果合理模拟了超固结土的剪缩和剪胀、峰值强度、超固结比和潜在强度的衰化以及三维强度效应等特性,因此可以广泛应用于超固结土地区的扩孔工程分析。

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	武孝天
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关键词 ：柱（球）孔扩张, 超固结土, UH模型, 三维强度, 排水

Abstract：The current solutions to cavity expansion cannot properly consider the stress-strain relationship and three-dimensional strength of the over-consolidated soil, thus there is some discrepancy between the solution and the practical situation. The existing researches show that the three-dimensional unified hardening (UH) model can well describe the mechanical properties of over-consolidated soil. Therefore, the model is used to develop a rigorous semi-analytical approach for drained cylindrical and spherical cavity expansion problems in over-consolidated soil. By introducing an auxiliary variable and combining the UH model, stress transform method and large strain theory, the cavity expansion problem is converted to solving a system of nonlinear differential equations as an initial value problem. There is no elastic zone around the cavity in the solution and the geomaterial parameters needed for the solution process are the same as for the Cam clay model. Compared with the modified Cam clay model-based solutions, the predicted results capture the stress-strain relationships, shear dilatancy, attenuation of over-consolidated ratio and potential failure stress ratio and three-dimensional stress states of the over-consolidated soil surrounding the cavity reasonably. Therefore, the proposed solution can be widely applied to the geotechnical problems in over-consolidated soil areas, such as the cone penetration tests and the pile installation.

Key words： cavity expansion over-consolidated soil UH model three-dimensional strength drainage

收稿日期: 2020-01-14

ZTFLH:

TU473

基金资助:国家自然科学基金重点项目（41630633）; 江苏省交通工程建设局科研项目

通讯作者: *（E-mail: yongfuxu@sjtu.edu.cn）

作者简介: 武孝天(1994— ),男,安徽淮北人,硕士研究生,主要从事岩土力学等方面的研究工作。E-mail: wuxiaotian@sjtu.edu.cn。

引用本文:

武孝天, 徐永福. 超固结土中排水圆孔扩张弹塑性UH解[J]. 岩土工程学报, 2020, 42(10): 1903-1913. WU Xiao tian, XU Yong fu. Elasto-plastic solution for drained cavity expansion in over-consolidated soil incorporating three-dimensional unified hardening model. Chinese J. Geot. Eng., 2020, 42(10): 1903-1913.

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http://manu31.magtech.com.cn/Jwk_ytgcxb/CN/10.11779/CJGE202010016 或 http://manu31.magtech.com.cn/Jwk_ytgcxb/CN/Y2020/V42/I10/1903

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