| 砂土三轴压缩和拉伸行为的分数阶塑性模型? |
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| 引用本文： | 陈晨,孙逸飞,宋顺翔.砂土三轴压缩和拉伸行为的分数阶塑性模型?[J].防灾减灾工程学报,2020(3):380-386. |
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| 作者姓名： | 陈晨 孙逸飞 宋顺翔 |
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| 作者单位： | 河海大学教育部岩土力学与堤坝工程教育部重点实验室, 江苏 南京 210098 |
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| 基金项目： | 博士后基金面上项目（2017M621607）、中央高校基本科研业务费项目（2017B05214）资助 |
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| 摘 要： | 实际工程中的砂土等粗粒土往往不仅会受到压缩剪切作用,还有可能受到拉伸剪切作用。但是,目前所建立的分数阶塑性力学模型,仅考虑了砂土的压缩剪切行为;对于砂土的拉伸剪切行为,还有待进一步验证。运用广义分数阶微分定义,提出了一个修正的剪胀方程,并基于此建立了一个可以描述砂土三轴压缩和拉伸行为的分数阶塑性力学模型。选取不同砂土的三轴压缩和拉伸试验数据,对模型进行了验证,结果表明,模型可以合理的对砂土在压缩和拉伸条件下的应力应变行为进行预测。
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| 关 键 词： | 分数阶塑性力学 三轴压缩 三轴拉伸 本构模型 |
Fractional Order Plastic Model for Sand under Triaxial Compressive and Extensive Loads |
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| CHEN Chen,SUN Yifei,SONG Shunxiang.Fractional Order Plastic Model for Sand under Triaxial Compressive and Extensive Loads[J].Journal of Disaster Prevent and Mitigation Eng,2020(3):380-386. |
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| Authors: | CHEN Chen SUN Yifei SONG Shunxiang |
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| Affiliation: | Key Laboratory of Ministry of Education for Geomechanics and Embankment Engineering, Hohai University, Nanjing 210098 , China |
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| Abstract: | Granular soils such as sand are often subjected to compressive shearing as well as extensive shearing in practical engineering. However, existing fractional models only consider the triaxial compressive behavior of sand and further model verification for the triaxial extensive behavior of sand needs to be conducted. Thus, a modified stress-dilatancy equation by using general definition of the fractional derivatives is proposed. Then, a fractional order plasticity model for sand subjected to tria?xial compression and extension is developed. To validate the proposed model, the results of a series of triaxial compressive and extensive tests on different sands are simulated, from which it is found that the proposed model can reasonably simulate the compressive and extensive stress-strain behavior of sand. |
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