| 砂土强度和剪胀性的颗粒力学分析 |
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| 引用本文： | 王子珺, 赵伯明. 砂土统一本构模型研究及其三维数值实现[J]. 工程力学, 2021, 38(10): 181-187, 247. DOI: 10.6052/j.issn.1000-4750.2020.10.0728 |
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| 作者姓名： | 王子珺 赵伯明 |
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| 作者单位： | 1.北京交通大学城市地下工程教育部重点实验室，北京 100044;2.北京交通大学土木建筑工程学院，北京 100044 |
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| 基金项目： | 国家自然科学基金项目(51808035，51778046)；国家重点研发计划项目(2017YFC0805305) |
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| 摘 要： | 基于广义塑性理论与临界状态概念，研究提出了一个统一三维砂土本构模型，通过一组参数实现了砂土由压缩至剪切过程中状态参量的统一表述。基于ABAQUS提供的用户自定义材料子程序UMAT接口，利用Fortran语言编程实现了该三维弹塑性本构关系模型在软件中的二次开发。分别利用Toyoura砂、Fuji River砂以及Tokachi砂的剪切试验数据与数值模拟结果进行对比，结果表明：提出的有限元计算模型可以有效反映加载过程中不同围压和砂土初始密度对应力-应变曲线的影响，能够准确描述密砂的剪胀特性与应变软化特性以及松砂的剪缩特性与应变硬化特性，从而更加真实地反映三维应力状态下土的变形和强度特性。研究成果进一步扩展了ABAQUS在岩土工程中的应用范围，能够为岩土工程领域的数值分析计算提供更加快捷的解决方案。
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| 关 键 词： | 砂土 本构模型 广义塑性 临界状态 ABAQUS 二次开发 |
| 收稿时间： | 2020-10-13 |
| 修稿时间： | 2021-02-23 |
Generalized plasticity and the modelling of soil behavior |
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| WANG Zi-jun, ZHAO Bo-ming. THE UNIFIED SAND MODEL AND 3D NUMERICAL IMPLEMENTATION[J]. Engineering Mechanics, 2021, 38(10): 181-187, 247. DOI: 10.6052/j.issn.1000-4750.2020.10.0728 |
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| Authors: | WANG Zi-jun ZHAO Bo-ming |
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| Affiliation: | 1.Key Laboratory of Urban Underground Engineering of Ministry of Education, Beijing Jiaotong University, Beijing 100044, China;2.School of Civil Engineering, Beijing Jiaotong University, Beijing 100044, China |
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| Abstract: | Based on the generalized plasticity theory and critical state concept, a three-dimensional constitutive model for unified modelling of sand behavior is proposed with a set of material parameters. By the User-defined Material (UMAT) subroutine interface in ABAQUS, the constitutive model of sand is developed and compiled with Fortran. The comparison between the simulations and experimental results of three kinds of sand, i.e., the Toyoura sand, the Fuji River sand and the Tokachi sand, shows that the finite element method could effectively simulate the stress-strain curve over a large range of confining pressures and initial densities. Therefore, the model can better reflect the deformation and strength characteristics of soil under a three-dimensional stress state, where the phenomenon that loose sand contracts while dense sand dilates under shearing is well described. The research can be further applied to numerical analyses related to geotechnical engineering to provide more efficient and practical solutions. |
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| Keywords: | sand constitutive model generalized plasticity critical state ABAQUS secondary development |
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