一种基于蛋形屈服函数的黏土等效塑性功硬化模型

doi:10.13722/j.cnki.jrme.2020.0610

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摘要为了研究不同加载路径下土体的硬化规律，首先进行一系列不同应力路径的黏土排水三轴试验，结果表明：塑性功Wp具有一定的应力路径依赖性，因而不适宜作为硬化函数参量。在此观察基础上通过引入等效塑性功消除该种应力路径依赖性，进而在蛋形屈服函数框架内提出一种广义的硬化模型。该模型以等效塑性功函数作为硬化参量，并借助于临界状态线/Hvorslev线等概念对等效硬化参数做归一化处理，进一步结合试验结果可以发现归一化后的等效硬化参数与等效塑性功之间的关系是独立于加载路径的，仅与初始硬化时的应力状态(以应力比h0表征)有关。以此为基础分别提出适用于应变硬化/软化模型的等效塑性功硬化函数，该硬化函数仅只依赖于初始硬化时的应力比h0。最后通过数值结果与试验结果的比较表明，该硬化模型可以有效地反映不同应力路径下土体的应力–应变特征。

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	蒋佳琪1
	2
	徐日庆1
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	俞建霖1
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	陈文祥3

关键词 ：土力学, 广义硬化函数, 等效塑性功, 应力路径, 蛋形屈服模型

Abstract：To better understand the hardening law of soils under different loading paths，a series of stress-path drained triaxial tests for clay are carried out. The results show that the plastic work Wp exhibits a significant dependence on the stress path and hence is not suitable to be chosen as the hardening parameter. The equivalent plastic workis introduced to eliminate this stress-path dependence，and then a generalized hardening model within the framework of egg-shaped yield function is proposed. In this model，the equivalent plastic work function is employed as the hardening parameter，and the equivalent hardening parameter is normalized referring to the concept of critical state line or Hvorslev line. It is found that the correspondence between the normalized equivalent hardening parameter and the equivalent plastic work is independent of the loading path and only relative to the stress state at initial hardening(represented by the stress ratio h0). Consequently，equivalent plastic work hardening functions applicable for strain hardening/softening model，only dependent on the initial hardening stress ratio η0，are established. Finally，comparisons between numerical and test results show that the proposed hardening model can effectively reflect the stress-strain characteristics of clay under different stress paths.

Key words： soil mechanics generalized hardening function equivalent plastic work stress path egg-shaped yield model

引用本文:

蒋佳琪1，2，徐日庆1，2，俞建霖1，2，陈文祥3. 一种基于蛋形屈服函数的黏土等效塑性功硬化模型[J]. 岩石力学与工程学报, 2021, 40(3): 619-628.
JIANG Jiaqi1，2，XU Riqing1，2，YU Jianlin1，2，CHEN Wenxiang3. An equivalent plastic work hardening model for clay based on the egg-shaped yield function. , 2021, 40(3): 619-628.

链接本文:

http://rockmech.whrsm.ac.cn/CN/10.13722/j.cnki.jrme.2020.0610 或 http://rockmech.whrsm.ac.cn/CN/Y2021/V40/I3/619

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