基于SPH无网格法的纺锤形桩靴连续贯入过程模拟

Numerical simulation of continuous penetration of spudcan based on SPH mesh-free method

  • 摘要: 纺锤形桩靴在饱和土中贯入过程涉及土体极大变形和复杂的土、水、结构三者耦合作用,由于网格畸变问题,采用传统网格类数值方法很难进行模拟。SPH无网格法借助于一系列粒子进行插值,粒子与粒子之间无联系,将偏微分形式的控制方程转化为常微分方程组进行求解,可有效避免网格畸变问题。基于土-水-结构耦合SPH无网格算法,对桩靴在中密、密实砂土及饱和黏土中的连续贯入过程进行模拟,研究土体存在极大变形条件下桩靴贯入阻力、超孔隙水压力及总应力等物理量在贯入过程中的变化规律,并与CEL大变形有限元分析结果及室内离心机测值进行对比和分析。研究结果表明:采用土-水-结构耦合SPH算法可以准确地捕捉土、水混合物发生大变形时的自由面特征、贯入阻力、孔隙水压力及超孔隙水压力等物理量。

     

    Abstract: The penetration process of spudcan in saturated soil concomitantly involves extremely large soil deformation and complex soil-water-structure interaction, which are difficult to simulate using traditional mesh-based methods due to mesh distortion. SPH is a mesh-free method by using a set of unrelated interpolation particles, and its governing equations (PDEs) are converted to ODEs and then solved. Thus, mesh distortion is avoided. Based on the soil-water-structure coupled SPH algorithm, the entire penetration process of spudcan into medium dense sand, dense sand and clay was simulated. The penetration resistance, excess pore water pressure and the total stress of soils undergoing large deformation were investigated. Subsequently, the calculated results were compared to the aftermaths of CEL (Coupled Eulerian Lagrangian) and centrifuge tests. It was proven that by adopting soil-water-structure coupled SPH methods, the penetration resistance, the pore water pressure and the excess pore water pressure could be satisfactorily captured. It was also true for the free surface of the soil-water mixture undergoing large deformation.

     

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