土工格室加筋正常固结剪缩类土体模型在ABAQUS中的开发与应用

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摘要基于Duncan-Chang模型和土工格室加筋等效附加应力效应，建立针对土工格室加筋剪缩类土体的等效强度和等效刚度模型，利用ABAQUS软件的UMAT子程序模块对该模型进行二次开发，并采取三轴试验和地基承载力模型试验对该模型的有效性以及UMAT子程序的正确性进行应用验证。结果表明，在轴向应变较小时，加筋土与未加筋土的强度比受黏土天然密度影响较小，但随着轴向应变的增加，天然密度较高的黏土则会表现出更大的。所开发的UMAT子程序在轴向应变0.15之前与试验结果吻合良好，之后虽略有差异但整体相对误差均较小，验证加筋黏土模型的有效性以及二次开发Umat编写的正确性。在达峰值强度前，模型与筋土分离式模型均能很好的吻合试验结果，而在达峰值强度之后，该模型数值模拟结果则更接近于试验结果，同时，该模型还有具有建模简便和计算效率高的优势。在沉降量S≤4 mm时，未加筋和加筋砂土模型的荷载–位移曲线均与试验数据吻合度较高；当S＞4 mm时，其模型计算的承载力略高于试验数据。该研究成果可为土工格室加筋剪缩类土提供模型参考及其工程应用中的有限元分析提供新方法。

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关键词 ：土力学, 土工格室, 粉质黏土, 三轴试验, UMAT子程序, 强度比

Abstract：

Based on the Duncan-Chang model and the equivalent additional stress effect of geocell reinforcement，an equivalent strength and stiffness model tailored for shear-contractive soils reinforced with geocells has been formulated. This model was further developed using the UMAT subroutine module of the ABAQUS software. To validate the effectiveness of the model and the correctness of the UMAT subroutine，triaxial tests and foundation bearing capacity model tests were conducted. The results reveal that at low axial strains，the strength ratio between reinforced and unreinforced soils is less influenced by natural density. However，as the axial strain increases，clays with higher natural densities will exhibit a greater value. The developed UMAT subroutine shows good agreement with experimental data up to an axial strain of 0.15，with minor deviations thereafter but overall low relative errors，confirming the validity of the reinforced clay model and the correctness of the secondary development of the UMAT subroutine. Prior to reaching peak strength，both the proposed model and the discrete reinforcement-soil model align well with experimental results. After reaching peak strength.，the numerical simulation results of the proposed model are closer to experimental outcomes. Additionally，this model offers advantages of simplified modeling and high computational efficiency. For settlement values S≤4 mm，the load-displacement curves of both unreinforced and reinforced sandy soil models align well with experimental data. When S＞4 mm，the calculated bearing capacity of the models is slightly higher than experimental data. The research outcomes of this study can provide a model reference for geocell-reinforced shear-contractive soils and offer new methods for finite element analysis in their engineering applications.

Key words： soil mechanics geocell silty clay triaxial test UMAT subroutine strength ratio

引用本文:

张冰冰1，2，3，宋飞1，2，3. 土工格室加筋正常固结剪缩类土体模型在ABAQUS中的开发与应用[J]. 岩石力学与工程学报, 2025, 44(2): 492-504.
ZHANG Bingbing1，2，3，SONG Fei1，2，3. Development and application of a geocell-reinforced normally consolidated shear-contractive soil model in ABAQUS. , 2025, 44(2): 492-504.

链接本文:

https://rockmech.whrsm.ac.cn/CN/Y2025/V44/I2/492

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