| 考虑应力沿深度变化的饱和软黏土一维固结半解析解 |
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| 引用本文： | 王晋宝,童焯煜,何博,许光映.考虑应力沿深度变化的饱和软黏土一维固结半解析解[J].应用数学和力学,2019,40(10):1099-1108. |
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| 作者姓名： | 王晋宝 童焯煜 何博 许光映 |
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| 作者单位： | 浙江海洋大学 港航与交通运输工程学院, 浙江 舟山 316022 |
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| 基金项目： | 国家自然科学基金（11372281） |
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| 摘 要： | 针对饱和软黏土，结合引入弹壶元件改进的分数阶Kelvin模型，同时考虑土体内应力沿深度变化的特点，利用Laplace变换推导获得其一维固结半解析解.首先，通过与文献中的试验结果及文献中的理论结果对比，说明了该模型的有效性；其次，详细地分析了不同分数阶阶数、不同总应力比以及不同分级线性加载等因素对饱和软黏土固结沉降以及孔隙水压力的影响，再现了饱和软黏土的固结沉降机理，以期为工程实践提供相关的理论基础.
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| 关 键 词： | 饱和软黏土 黏弹性 分数阶Kelvin模型 半解析解 分级线性加载 |
| 收稿时间： | 2018-10-10 |
A Semi-Analytical 1D Consolidation Solution of Saturated Soft Clay With Changing Stresses Along the Depth |
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| Affiliation: | School of Port and Transportation Engineering, Zhejiang Ocean University, Zhoushan, Zhejiang 316022, P.R.China |
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| Abstract: | A semi-analytical 1D consolidation solution of saturated soft clay was derived via the Laplace transform by means of the spring pot-based fractional-order Kelvin model and in view of changing inner stresses along the depth of the soft clay. Firstly, the validity of the semi-analytical solution was verified through comparison with the referential results. Then, the effects of different fractional orders, total stress ratios and multi-grade linear loadings on the consolidation settlement and the pore water pressure of the saturated soft clay were analyzed based on the semi-analytical solution in detail. The work provides a theoretical basis for the related practical geotechnical engineering. |
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