真三轴路径下双线性修正邓肯-张模型研究  

Study on the Bilinear Modified Duncan-Chang Model under True Triaxial Paths

作　　者：辛葱葱 包磊 孙融融 王舒 高帅 尹炬尧 姚普静 Xin Congcong;Bao Lei;Sun Rongrong;Wang Shu;Gao Shuai;Yin Juyao;Yao Pujing(Northwest Engineering Corporation Limited,Power China,Xi'an 710065,China;School of Civil Engineering,Tianjin University,Tianjin 300350,China)

机构地区：[1]中国电建集团西北勘测设计研究院有限公司,西安710065 [2]天津大学建筑工程学院,天津300350

出　　处：《西北水电》2025年第1期87-93,共7页Northwest Hydropower

基　　金：国家自然科学基金青年基金项目(42307108);中国电建集团西北勘测设计研究院有限公司科技项目(XBY-KJ-2024-59)。

摘　　要：邓肯-张模型因参数求取简便而被广泛应用,但不适用于非轴对称受力的真三轴应力状态。为论证考虑中主应力影响的邓肯-张模型在真三轴应力状态下的适用性,本文提出一种双线性修正邓肯-张模型以适应这种应力状态下的土体行为,采用西安市某工地的土样进行真三轴试验,将固结应力设定为50、100、150 kPa,中主应力比值分别为0、0.25、0.5、0.75、1.00。结果表明:随着中主应力比值增加,土体切线模量增大,表明中主应力对剪切变形有显著影响。基于数据建立的双线性修正模型在重塑黄土、原状黄土及应变硬化型重塑砂土预测中准确性高。模型预测的误差与固结应力的大小成反比,与中主应力比值成正比。此模型为工程实际和数值模拟提供了准确可靠的理论支撑,特别是在考虑中主应力影响的真三轴应力状态下土体行为预测中。The Duncan-Chang model is widely used due to the simplicity of parameter determination,but it is not applicable to the true triaxial stress state with non-axisymmetric stress.In order to demonstrate the applicability of the Duncan-Chang model considering the influence of the intermediate principal stress under the true triaxial stress state,this paper proposes a bilinear modified Duncan-Chang model to adapt to the soil behavior under this stress state.True triaxial tests are carried out on soil samples from a construction site in Xi'an.The consolidation stresses are set as 50,100,and 150 kPa,and the ratios of the intermediate principal stress are 0,0.25,0.5,0.75,and 1.00 respectively.The results show that with the increase of the ratio of the intermediate principal stress,the tangent modulus of the soil increases,indicating that the intermediate principal stress has a significant influence on the shear deformation.The bilinear modified model established based on the data has high accuracy in predicting the remolded loess,undisturbed loess and strain-hardening remolded sand.The error of the model prediction is inversely proportional to the magnitude of the consolidation stress and directly proportional to the ratio of the intermediate principal stress.This model provides an accurate and reliable theoretical support for engineering practice and numerical simulation,especially in predicting the soil behavior under the true triaxial stress state considering the influence of the intermediate principal stress.

关 键 词：邓肯-张模型 真三轴试验 双线性修正 中主应力 应力-应变关系 

分 类 号：TU443[建筑科学—岩土工程]