Nodal integration-based particle finite element method (N-PFEM) for poro-elastoplastic modelling of saturated soils under large deformation
Nodal integration-based particle finite element method (N-PFEM) for poro-elastoplastic modelling of saturated soils under large deformation
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DOI：
10.1016/j.compgeo.2023.105567
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发表时间：
2023-09
影响因子：
5.3
通讯作者：
Liang Wang;Xue Zhang;Xueyu Geng;Q. Lei
中科院分区：
文献类型：
--
作者：
Liang Wang;Xue Zhang;Xueyu Geng;Q. Lei
本文提出了基于节点积分的饱和土大变形孔隙弹塑性分析的颗粒有限元方法（N-PFEM），利用广义Hellinger-Reissner变分原理将饱和土动力学控制方程重新定义为最小-最大优化问题。通过有限元离散化和单元节点积分，将该问题转化为标准的二阶锥规划问题，利用先进的原对偶内点法进行有效求解。N-PFEM方法有几个优点，包括使用线性三角形单元，没有体积锁定问题，避免正则化技术，消除了重新网格划分后繁琐的变量映射。数值模型对饱和土的大变形分析进行了验证，并对一系列可用的解析和数值解进行了基准测试，并对考虑石柱加固的路堤变形进行了实例研究。这种N-PFEM框架为具有实际意义的复杂岩土结构中大变形饱和土的演化行为提供了一种有效和高效的模拟方法。
This paper presents the nodal integration-based particle finite element method (N-PFEM) for poro-elastoplastic analysis of saturated soils subject to large deformation, utilising the generalised Hellinger-Reissner variational principle to reformulate the governing equations for saturated soil dynamics into a min–max optimisation problem. With finite element discretisation and nodal integration over cells, the problem is transformed into a standard second-order cone programming problem, efficiently resolved using the advanced primal–dual interior point method. The N-PFEM method has several advantages, including the use of linear triangular elements without volumetric locking issues, the avoidance of regularisation techniques, and the elimination of tedious variable mapping after remeshing. The numerical model is validated for large deformation analysis of saturated soils with a series of benchmarks against available analytical and numerical solutions, with a case study of the deformation of an embankment considering stone column reinforcement also carried out. This N-PFEM framework offers an effective and efficient simulation approach for the evolutionary behaviour of saturated soils with large deformation in complex geotechnical configurations of practical relevance.