UH模型数值计算优化分析

张奎; 姚仰平

doi:10.13700/j.bh.1001-5965.2023.0001

UH模型数值计算优化分析

doi: 10.13700/j.bh.1001-5965.2023.0001

张奎,
姚仰平^,

北京航空航天大学交通科学与工程学院，北京 102206

基金项目: 国家重点研发计划(2018YFE0207100)；国家自然科学基金(52238007,51979001)

详细信息

通讯作者:
E-mail：ypyao@buaa.edu.cn

中图分类号: TU433
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- 被引次数: 0
出版历程
- 收稿日期: 2023-01-04
- 录用日期: 2023-04-14
- 网络出版日期: 2023-05-09
- 整期出版日期: 2025-02-28

Optimization analysis for numerical calculation of UH model

ZHANG Kui,
YAO Yangping^,

School of Transportation Science and Engineering，Beihang University，Beijing 102206，China

Funds: National Key Research and Development Program of China (2018YFE0207100); National Natural Science Foundation of China (52238007,51979001)

More Information

Corresponding author: E-mail：ypyao@buaa.edu.cn

摘要

摘要:
数值计算是进行岩土工程问题分析的重要工具，将统一硬化(UH)模型准确、高效地应用于岩土工程数值计算具有重要价值。基于此，研究分析了UH模型在理论继承性、加卸载判断、等效思想应用等方面的优越性，开发了UH模型图形用户界面(GUI)组件和用户自定义材料(UMAT)子程序，进而将UH模型有效嵌入有限元软件，并通过应用切线刚度矩阵的对称化方法及低压应力变换改进公式改进了数值计算的收敛性。将UH模型应用于地基荷载板试验模拟，发现UH模型计算所得荷载-沉降曲线与试验数据较为接近，体现了UH模型在地基变形计算中的可靠性。研究结果实现了UH模型数值计算功能的有效开发及计算方法的改进优化，对解决复杂岩土工程问题具有重要价值。
- 数值计算 /
- 统一硬化模型 /
- 用户自定义材料 /
- 收敛性 /
- 地基承载力
Abstract:
Numerical calculation is an important tool for analyzing geotechnical engineering problems, and the accurate and efficient application of the unified hardening (UH) model in numerical calculation of geotechnical engineering is of great value. The superiority of the UH model in theoretical inheritance, loading and unloading judgment, and equivalent concept application was studied. The graphical user interface (GUI) components and user material (UMAT) subroutine for the UH model were developed, and the UH model was effectively embedded in the finite element software. The convergence of numerical calculation was improved through the application of the symmetry method of tangent stiffness matrix and the improved formula of low-pressure stress transformation. The UH model was applied to simulate the foundation load plate test, and the calculated load-settlement curve was found to be close to the test data, which demonstrated the reliability of the UH model in foundation deformation calculation. The research results have effectively developed the numerical calculation capabilities of the UH model and improved the optimization of the calculation methods, which holds important value for solving complex geotechnical engineering problems.
- numerical calculation /
- unified hardening model /
- user material /
- convergence /
- bearing capacity of foundation

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图 1 UH系列模型的理论继承性

Figure 1. Theoretical inheritance of UH series models

下载: 全尺寸图片幻灯片

图 2 剑桥模型与UH模型的加卸载准则

Figure 2. Loading and unloading criterion of Cam-clay model and UH model

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图 3 UH模型材料参数界面

Figure 3. Material parameters interface of UH model

下载: 全尺寸图片幻灯片

图 4 UH UMAT与CAE模块的信息交互

Figure 4. Information interaction between UMAT and CAE module of UH

下载: 全尺寸图片幻灯片

图 5 真实应力空间屈服面形状随压力p的演化

Figure 5. Evolution of yield surface shape in true stress space with pressure p

下载: 全尺寸图片幻灯片

图 6 计算简化模型

Figure 6. Simplified calculation model

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图 7 低压应力变换改进公式验证

Figure 7. Verification of improved formula of low-pressure stress transformation

下载: 全尺寸图片幻灯片

图 8 UH模型计算的荷载-沉降曲线与试验数据对比

Figure 8. Comparison of load-settlement curves calculated by UH model with test data

下载: 全尺寸图片幻灯片

表 1 地基土模型参数取值

Table 1. Parameter values of foundation soil model

M γ κ λ N Z χ m

1.25 0.3 0.04 0.135 1.66 0.9 0 1.8

下载: 导出CSV

表 2 s/D=0.25时的最大荷载比较

Table 2. Maximum load comparison at s/D=0.25

方法最大荷载/kPa 差值/kPa

D=0.56 m D=0.8 m

试验值 391 482 91

UH模型计算值 433 504 71

下载: 导出CSV

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