基于考虑变形效应的土-水特征曲线求解非饱和地基动力响应

    Dynamic response solutions of unsaturated soil foundation using soil-water characteristic curve considering deformation effects

    • 摘要: 为研究移动荷载作用下的非饱和地基动力响应,在传统V-G土-水特征曲线模型的基础上,建立了考虑变形效应的土-水特征曲线模型,并基于该模型推导了新的非饱和土动力控制方程,从而完整描述非饱和土在受动力作用下的水-力耦合作用。进一步的,采用2.5维有限元法对控制方程进行求解,求解结果分别与单相弹性介质,双相饱和介质和三相非饱和介质的解析解进行对比,均验证了该求解方法的准确性;不同介质模型的计算耗时分析表明2.5维有限元法是目前求解多孔介质动力问题的一种优势算法。通过数值分析发现,采用传统的、未考虑变形效应的土-水特征曲线会低估非饱和地基的振动强度。

       

      Abstract: To investigate the dynamic response of unsaturated soils under moving loads, a new soil-water characteristic curve (SWCC) model is established considering the deformation caused by applied load based on the traditional V-G SWCC model. Using this modified SWCC model, a dynamic governing equation for unsaturated soils, which fully describes the water-force coupling effects of unsaturated soils under dynamic loading, is derived. The governing equation is solved using the 2.5-dimensional finite element method (2.5D FEM). The obtained solutions are compared with the analytical ones for single-phase medium, double-phase saturated medium and three-phase unsaturated medium, respectively, which all confirm the accuracy of the proposed solution method. The computational time analysis for different medium models demonstrate that the 2.5D FEM is an advantageous algorithm for solving the dynamic problems of porous media. The numerical analysis reveals that using the traditional SWCC without considering the deformation will underestimate the vibration intensity of unsaturated foundations.

       

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