散粒介质三维应力-组构解析与破坏分析

刘洋; 张铎; 汪成林

doi:10.11779/CJGE201403001

散粒介质三维应力-组构解析与破坏分析 English Version

1. 北京科技大学土木与环境工程学院,北京 100083; 2. 麻省大学阿默赫斯特分校,马赛诸塞州 01003

基金项目: 国家自然科学基金项目（51178044）; 新世纪优秀人才项目（NCET-11-0579）; 中央高校基本科研业务费项目（FRF-TP-12-001B）

详细信息

作者简介:
刘洋(1979- )，男，江苏徐州人，博士，副教授，主要从事土细观力学和砂土液化方面的研究与教学工作。E-mail: ly-ocean@sohu.com。

中图分类号: TU441
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出版历程
- 收稿日期: 2013-05-14
- 发布日期: 2014-03-19

Analytical solution of stress-fabric relationship and failure of granular materials in three dimensions

1. Department of Civil Engineering, University of Science and Technology Beijing, Beijing 100083, China; 2. Department of Civil Engineering, University of Massachusetts Amherst, Massachusetts 01003, USA

摘要

摘要: 基于散粒体宏-微观力学分析,首先提出了3类张量的概念,推导了散粒体三维应力-组构关系,接着给出了二维和轴对称条件下的应力-组构解析表达式,并采用双轴和三轴离散元（DEM）模拟结果对解析解进行了验证分析。最后基于应力-组构解析,采用“真应力”的概念分析了散粒体的强度问题。研究结果表明：散粒体中的应力分布受3类张量的共同影响,双轴与三轴的离散元模拟与解析关系较吻合。在略去了高阶项后,二维应力-组构关系式与Rothenburg等提出的表达式一致。进一步的分析表明：散粒材料强度受控于“真应力”,表观活动摩擦角的变化实质是颗粒摩擦和各向异性组构共同作用的结果。研究成果可以用于分析散粒体各向异性强度特征和本构关系。
- 散粒介质 /
- 各向异性 /
- 应力-组构关系 /
- 解析 /
- 离散元
Abstract: Based on the macro-micro mechanical analysis, three kinds of tensors are proposed to investigate the stress-fabric relationship. An explicit relationship is derived among applied stress tensor, material fabric tensor and force-fabric tensor in three dimensions. The expressions are also obtained in two dimensions and triaxial stress condition, which are verified by DEM simulation of biaxial and triaxial tests. A concept of “true stress” is adopted to investigate the failure of granular materials. The analytical and numerical results indicate that the stress in granular materials is affected by the three kinds of tensors motioned above. The analytical solution of stress-fabric is coincided with the DEM results and has the same form as that proposed by Rothenburg when the higher order terms are omitted. The strength of granular materials is controlled by the “true stress”, and the apparent mobilized frictional angle is the joint action of friction of particles and anisotropic fabric induced by the applied stress. The proposed stress-fabric relationship is potentially useful for further development of the strength theory and stress-stain behavior for granular materials.
- granular material /
- anisotropy /
- stress-fabric relationship /
- analytical solution /
- DEM

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参考文献(33)

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