黏弹性准饱和土中球空腔动力特性

高华喜; 闻敏杰

doi:10.6052/0459-1879-11-303

黏弹性准饱和土中球空腔动力特性

doi: 10.6052/0459-1879-11-303

高华喜¹,
闻敏杰²

1.
浙江海洋学院船舶与建筑工程学院, 舟山 316004
2. 上海大学土木系, 上海 200072

基金项目: 国家自然科学基金项目(41002112);浙江省教育厅重点科研项目(Z201119560)和浙江省自然科学基金项目(Y12E090013)资助.

详细信息

中图分类号: T435
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- 被引次数: 0
出版历程
- 收稿日期: 2011-10-25
- 修回日期: 2012-03-23
- 刊出日期: 2012-07-18

DYNAMIC CHARACTERISTICS OF A SPHERICAL CAVITY IN NEARLY SATURATED VISCOELASTIC SOIL

Gao Huaxi¹,
Wen Minjie²

1.
School of Naval Architecture and Civil Engineering, Zhejiang Ocean University, Zhoushan 316004, China
2. Department of Civil Engineering, Shanghai University, Shanghai 200072, China

Funds: The project was supported by the National Natural Science Foundation of China (41002112); Zhejiang Provincial Education Department Foundation (Z201119560) and Zhejiang Provincial Natural Science Foundation (Y12E090013).

摘要

摘要: 在频率域内研究了内水压力作用下分数导数型黏弹性准饱和土中球空腔的稳态动力响应. 通过引入与孔隙率有关的应力系数合理地确定了介质和孔隙水共同承担的内水压力值. 将土骨架和衬砌分别视为具有分数导数本构模型的黏弹性体和多孔柔性材料, 基于Biot两相介质模型, 通过引入位移势函数解耦得到了内水压力作用下分数导数型黏弹性准饱和土中半封闭球形空腔的位移、应力和孔隙水压力解析表达式. 考察了物性和几何各参数对球形空腔动力响应的影响, 结果表明: 分数导数本构模型更合理地描述了土体的动力学行为; 饱和度对应力和孔隙水压力影响较大, 而对位移影响较小.
- 黏弹性准饱和土 /
- 分数导数 /
- 球形空腔 /
- 内水压力 /
- 应力系数 /
- 渗透系数
Abstract: The steady-state dynamic responses of a spherical cavity in nearly saturated fractional derivative viscoelastic soil are investigated subject to the internal water pressure in the frequency domain. By a stress coefficient depending on the porosity of soil, the values of internal water pressure in medium and in pore water are determined, respectively. The soil skeleton and the lining are treated as a viscoelastic medium with fractional derivative constitutive relations and a porous flexible material, respectively. Based on Boit's theory, the analytical solutions for the displacement, stress and pore water pressure of the partial sealed spherical cavity in the nearly saturated soil subject to the internal water pressure are obtained by the displacement potential functions. The dynamic responses of the spherical cavity are analyzed for different physical and geometry parameters. It is shown that the dynamic behaviors of the soil are described reasonably by the fractional derivative constitutive model. The saturation degree has great influences on the stress and pore water pressure, while it has a smaller impact on the displacement.
- nearly saturated viscoelastic soil /
- fractional derivative /
- spherical cavity /
- inner water pressure /
- stress coefficient /
- permeability coefficient

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参考文献(19)

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