| 连续排水边界下分数阶黏弹性饱和土体一维固结分析 |
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| 引用本文： | 田乙,吴文兵,蒋国盛,梅国雄,徐宝军.连续排水边界下分数阶黏弹性饱和土体一维固结分析[J].岩土力学,2019(8):3054-3061,3070. |
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| 作者姓名： | 田乙 吴文兵 蒋国盛 梅国雄 徐宝军 |
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| 作者单位： | 中国地质大学工程学院岩土钻掘与防护教育部工程研究中心;广西大学土木建筑工程学院广西防灾减灾与工程安全重点实验室;山东省城乡建设勘察设计研究院 |
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| 基金项目： | 国家自然科学基金(No.51578164,No.51678547,No.51878185)~~ |
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| 摘 要： | 采用分数阶Kelvin模型来描述饱和土体的流变特性,在连续排水边界条件下,利用Laplace变换推导出变换域内的饱和土体一维固结解析解,再通过Crump法对有效应力和固结沉降进行数值反演,得到了分数阶导数黏弹性饱和土体的一维固结半解析解。将连续排水边界退化到Terzaghi排水边界,退化后的结果与已有文献一致,验证了所得半解析解的可靠性。最后,基于所得解,分析了相关参数对土体固结的影响。结果表明,界面参数反映排水边界的透水性,从而影响土体中超孔隙水压力的消散速率;黏滞系数在固结后期对沉降发展影响较大,其值越大,沉降发展越慢;当阶次a不为零时,分数阶次越小,土体表现出的黏滞性越强,整体固结沉降发展越缓慢,次固结沉降发展也越缓慢。
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| 关 键 词： | 连续排水边界 分数阶导数 黏弹性 黏滞系数 分数阶次 |
One-dimensional consolidation of viscoelastic saturated soils with fractional order derivative based on continuous drainage boundary |
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| TIAN Yi,WU Wen-bing,JIANG Guo-sheng,MEI Guo-xiong,XU Bao-jun.One-dimensional consolidation of viscoelastic saturated soils with fractional order derivative based on continuous drainage boundary[J].Rock and Soil Mechanics,2019(8):3054-3061,3070. |
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| Authors: | TIAN Yi WU Wen-bing JIANG Guo-sheng MEI Guo-xiong XU Bao-jun |
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| Institution: | (Engineering Research Center of Rock-Soil Drilling & Excavation and Protection of Ministry of Education,Faculty of Engineering,China University of Geosciences,Wuhan,Hubei 430074,China;Guangxi Key Laboratory of Disaster Prevention and Structural Safety,College of Civil Engineering and Architecture,Guangxi University,Nanning,Guangxi 530004,China;Shandong Province Investigation & Survey Design Institute of Urban & Rural Construction,Jinan,Shandong 250031,China) |
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| Abstract: | TIAN Yi;WU Wen-bing;JIANG Guo-sheng;MEI Guo-xiong;XU Bao-jun(Engineering Research Center of Rock-Soil Drilling & Excavation and Protection of Ministry of Education,Faculty of Engineering,China University of Geosciences,Wuhan,Hubei 430074,China;Guangxi Key Laboratory of Disaster Prevention and Structural Safety,College of Civil Engineering and Architecture,Guangxi University,Nanning,Guangxi 530004,China;Shandong Province Investigation & Survey Design Institute of Urban & Rural Construction,Jinan,Shandong 250031,China) |
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| Keywords: | continuous drainage boundary fractional order derivative viscoelasticity viscosity coefficient fractional order |
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