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Numerical method of Confined Compression Model with Lateral Friction

DOI：

 作者 单位 E-mail 李文轩 南京水利科学研究院 liwenxuan203@163.com 曹永勇 南京水利科学研究院 yycao@nhri.cn 张文前 北京大学 姜彦彬 南京水利科学研究院

海上箱筒型基础结构下沉到位后，舱内土体的受力变形可以看作是侧限压缩模型问题，上部荷载引起的侧壁摩擦力与土体应力之间关系较为复杂.本文通过简化模型，列出了侧限压缩模型的平衡微分方程，分析了方程解析计算时存在的难点，结合摩擦应力边界条件的特点，构造函数迭代法对本方程进行数值求解，展示了计算的收敛过程，得到接触侧面上水平应力和土体表面位移的非线性分布规律，并将其结果与Abaqus数值模拟结果进行了对比。研究表明函数迭代法收敛速度较快，计算过程稳定，对其它存在变量耦合边界条件的微分方程数值求解，有着一定的参考价值。

When the box-type foundation is sunk in place, the deformation calculation of the soil in bulkhead can be regarded as the confined compression model problem, the relationship between the lateral friction caused by the upper load and the soil stress is quite complicated. The differential equations of the confined compression model are listed by simplifying the model, and the difficulties in analytic calculation of the equations are analyzed. According to the characteristics of the frictional stress boundary condition, an iteration method is used to solve the equation numerically. Subsequently, the convergence process is demonstrated, and the nonlinear distribution law of horizontal stress on contact surface and displacement on soil surface is obtained, in addition, these calculation values are compared with the numerical simulation results of Abaqus. The results show that the iteration method has a fast convergence speed and a stable calculation process. It has a certain reference value for the numerical solution of other differential equations with variable coupling boundary condition.
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