Stability analysis of soil liquefaction using a finite element method based on particle discretization scheme
Stability analysis of soil liquefaction using a finite element method based on particle discretization scheme
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DOI：
10.1016/j.compgeo.2015.02.008
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发表时间：
2015-06
影响因子：
5.3
通讯作者：
Jian Chen;H. O.-tani;M. Hori
中科院分区：
文献类型：
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作者：
Jian Chen;H. O.-tani;M. Hori
在数学上，液化对应于土动力学控制方程的不稳定解。对这些溶液的稳定性分析有助于理解液化的触发和发展。本文给出了一种分析控制方程解的数值方法。控制方程在小扰动情况下线性化，并采用基于粒子离散格式的有限元方法进行离散。利用开发的PDS-FEM程序对离散的控制方程进行求解，得到了三维球面波形式的摄动的不稳定解。该方法考虑了剪胀效应和分离效应。数值结果表明，扩容效应触发，分离效应使不稳定解在空间上扩展。不稳定溶液的存在和扩展为研究液化的触发和发展提供了新的视角。
Mathematically, liquefaction corresponds to the unstable solutions of the governing equations of soil dynamics. Stability analysis of these solutions facilitates the understanding of the triggering and development of liquefaction. This paper presents a numerical approach for stability analysis of the solutions of the governing equations. The governing equations are linearized for small perturbations and discretized using a finite element method (FEM) based on the particle discretization scheme (PDS). By solving the discretized governing equations with the developed PDS–FEM code, unstable solutions are captured for perturbations in the form of a three-dimensional spherical wave. The present approach considers the dilatancy effect and the detaching effect. The numerical results show that the dilatancy effect triggers and the detaching effect spatially expands the unstable solutions. The existence and expansion of the unstable solutions provide a new perspective on the triggering and development of liquefaction.