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Rigorous solution for 1-D consolidation of a clay layer under haversine cyclic loading with rest period

机译:休士顿循环荷载下静止期粘土层一维固结的严格解

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摘要

Presented in this paper is a rigorous solution of the conventional Terzaghi one-dimensional consolidation under haversine cyclic loading with any rest period. The clay deposit is either permeable at both top and bottom or permeable at the top and impermeable at the bottom. This exact analytical solution was achieved using Fourier harmonic analysis for the periodic function representing the rate of imposition of excess pore water pressure. The double Fourier series in the rigorous solution was found to be rapidly convergent. The analysis of excess pore water pressure and effective stress is done in the Matlab 2010 environment. Both the effects of rest period and frequency of cyclic loading are investigated. The analysis reveals that the excess pore water pressure arrives the steady-state at a time factor T v of about 2. Furthermore, finite element method (FEM) is applied to solve numerically the corresponding consolidation problem and the FEM solution is compared to the analytical solution showing a good match.
机译:本文提出的是严格的解决方案,适用于在任何休止时间的强效循环载荷下常规的Terzaghi一维固结。粘土沉积物在顶部和底部都是可渗透的,或者在顶部是可渗透的,而在底部是不可渗透的。使用傅立叶谐波分析的周期函数表示施加过量孔隙水压力的速率,从而获得了这种精确的分析解决方案。发现严格解中的双傅立叶级数迅速收敛。在Matlab 2010环境中对多余的孔隙水压力和有效应力进行了分析。研究了静息时间和循环加载频率的影响。分析表明,多余的孔隙水压力在约2的时间因子T v处达到稳态。此外,采用有限元方法(FEM)数值求解了相应的固结问题,并将该FEM解与解析法进行了比较。解决方案显示出良好的匹配。

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