适用于黏土和砂土的亚塑性剑桥模型

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摘要考虑黏土和砂土力学行为的相似性，如在排水剪切过程表现出的应变软化和剪胀特性以及在不排水剪切过程中由循环荷载引起的交变移动性，结合亚塑性理论和临界状态土力学建立新的亚塑性剑桥模型。该模型首先采用线性的极限压缩曲线来计算砂土的Hvorslev等效应力，从而确定唯一的砂土渐进状态边界面；对于黏土，极限压缩曲线与等向固结压缩曲线重合。其次，根据任意加载时刻土的当前状态点与临界状态线之间的相对位置关系来定义新的密度因子，并建立其与渐进状态边界面内部土的归一化应力路径的运动规律之间的联系。该密度因子的初始值与黏土的超固结比或砂土的初始孔隙比有关，可作为状态参量来描述应力历史、相对密度、加载路径等因素对土的力学行为的影响。亚塑性剑桥模型具有简洁的理论体系，包含的材料参数与剑桥模型相似，可以通过常规的室内土工试验进行标定，参数敏感性分析结果表明，该模型能够合理地描述具有不同初始孔隙比的砂土在排水和不排水剪切过程中的力学响应，同时能够较好地描述其在循环荷载作用下的交变移动性。通过将模型计算结果与Kaolin黏土、Karlsruhe细砂和Toyoura砂的三轴压缩试验结果进行对比分析，均取得了良好的计算效果，进一步验证了该模型的有效性。

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	李海潮1
	李涛1
	童晨曦2
	贺佐跃3
	张升2

关键词 ：土力学, 黏土, 砂土, 亚塑性理论, 临界状态, 本构关系

Abstract：Considering the similarity of the mechanical behaviors of clay and sand soils，such as the strain softening and dilatancy features exhibited during the drained triaxial test，and the alternating mobility feature induced by cyclic loading under the undrained condition，a new hypoplastic Cam-clay model is established by combining the hypoplastic theory and the critical state soil mechanics. The model first adopts a linear ultimate compression curve to calculate the Hvorslev equivalent stress of sand to determine the asymptotic state boundary surface uniquely. On the other hand，the ultimate compression curve will coincide with the isotropic consolidation compression curve of clay. Second，a new density factor is defined based on the relative positional relationship between the current state point of the soil and the critical state line，which affects the evolution of the normalized stress path of the soil inside the asymptotic state boundary surface. The initial value of the density factor depends on the overconsolidation ratio of the clay or the initial void ratio of the sand，which can be used as a state parameter to describe the effects of factors including stress history，relative density，and loading path on soil behaviors. The proposed model has parameters similar to those of the Cam-clay model，which can be calibrated through conventional laboratory tests. The calculation results indicate that the proposed model can reasonably describe the complex behaviors of clay and sand under drained and undrained shearing conditions，which can also capture the alternating mobility feature during cyclic loading. The validity of the proposed model is further verified by comparing the model predictions with the triaxial test results of Kaolin clay，Karlsruhe fine sand，and Toyoura sand.

Key words： soil mechanics clay sand hypoplastic theory critical state constitutive model

引用本文:

李海潮1，李涛1，童晨曦2，贺佐跃3，张升2. 适用于黏土和砂土的亚塑性剑桥模型[J]. 岩石力学与工程学报, 2024, 43(12): 3096-3107.
LI Haichao1，LI Tao1，TONG Chenxi2，HE Zuoyue3，ZHANG Sheng2. Hypoplastic cam-clay model for clay and sand soils. , 2024, 43(12): 3096-3107.

链接本文:

https://rockmech.whrsm.ac.cn/CN/Y2024/V43/I12/3096

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