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A practical constitutive theory based on egg-shaped function in elasto-plastic modeling for soft clay

一种基于蛋形函数的实用软土弹塑性本构理论

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Abstract

An exploratory discussion is presented on the application of egg-shaped function in elasto-plastic constitutive analysis for soft clay. Two main tasks of the paper are: 1) to propose a complete yield criterion based on egg-shaped function and supplement its definition in the deviatoric section, and then a yield criterion suitable for 3D stress conditions is obtained; 2) to elaborate its numerical implementation based on the drained triaxial tests. During the above discussion, a non-associated flow rule is proposed, in which the stress-dilatancy relationship in most classical theory is replaced by a linear dependence between the stress state parameter η and the rotation angle η of the plastic potential surface. Thereafter, isotropic and kinematic hardening behavior is considered by employing the hardening parameter H, which can be expressed as the function of plastic work Wp. Finally, comparisons between numerical results and test data on Taizhou soft clay are made to verify the effectiveness of the proposed model.

摘要

本文针对蛋形函数在软黏土弹塑性本构分析中的应用进行了讨论。两项主要的研究任务分别为: 1) 以蛋形函数为基础,提出完整的蛋形屈服理论,补充其在偏平面中的定义,得出三维应力条件下 的强度屈服准则;2) 具体阐述蛋形本构模型的数值实现方法。首先,根据排水三轴试验结果,提出 一种非关联塑性流动法则,其中大多数经典本构理论中的应力-剪胀关系被归一化应力状态参数η 与 塑性势面旋转角γ 之间的线性关系所代替。进一步,通过采用硬化参数H (H 可以表示为塑性功Wp 的 函数)来表征土体等向以及运动硬化行为。最后,将蛋形模型的数值计算结果与台州软土试验数据进 行对比,验证了本文模型的有效性。

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Authors and Affiliations

  1. Research Center of Coastal and Urban Geotechnical Engineering, Zhejiang University, Hangzhou, 310058, China

    Jia-qi Jiang  (蒋佳琪), Ri-qing Xu  (徐日庆) & Jian-lin Yu  (俞建霖)

  2. Engineering Research Center of Urban Underground Space Development of Zhejiang Province, Hangzhou, 310058, China

    Jia-qi Jiang  (蒋佳琪), Ri-qing Xu  (徐日庆) & Jian-lin Yu  (俞建霖)

  3. Hangzhou Metro Group Co., Ltd., Hangzhou, 310020, China

    Zhi-jian Qiu  (裘志坚) & Jian-she Qin  (秦建设)

  4. Zhongtian Construction Group Limited Company, Hangzhou, 310008, China

    Xiao-bo Zhan  (詹晓波)

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Foundation item: Project(41672264) supported by the National Natural Science Foundation of China; Project (2019C03103) supported by the Key Research and Development Program of Zhejiang Province, China

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Jiang, Jq., Xu, Rq., Yu, Jl. et al. A practical constitutive theory based on egg-shaped function in elasto-plastic modeling for soft clay. J. Cent. South Univ. 27, 2424–2439 (2020). https://doi.org/10.1007/s11771-020-4459-y

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