An implicit nodal integration based PFEM for soil flow problems

An implicit nodal integration based PFEM for soil flow problems
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DOI:
10.1016/j.compgeo.2021.104571
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发表时间:
2022-02
影响因子:
5.3
通讯作者:
Xue Zhang;Jing Meng;S. Yuan
Xue Zhang;Jing Meng;S. Yuan
中科院分区:
工程技术2区
文献类型:
--
作者:
Xue Zhang;Jing Meng;S. Yuan

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提出了一种基于隐式节点积分的颗粒有限元法(N-PFEM)。控制方程离散使用隐式时间积分计划和空间积分进行细胞,而不是有限元,使用节点积分计划。与传统的PFEM相比,发展的N-PFEM在模拟大变形问题时不需要从旧积分点到新积分点的变量信息传递。此外,隐式时间积分的性质使得该方法特别适合于处理岩土工程中最有可能出现的中低频土动力问题。所提出的方法的验证是通过复制两个实验室测试。
An implicit Nodal integration based Particle Finite Element Method (N-PFEM) is developed to model soil flow problems. The governing equations are discretised using an implicit time integration scheme and the spatial integration is conducted over cells, rather than finite elements, using a nodal integration scheme. Compared with the conventional PFEM, the developed N-PFEM requires no variable information transferring from old to new integration points when modelling large deformation problems. Additionally, the nature of implicit time integration makes the method particularly suitable for handling soil dynamic problems of low to medium frequency which are the most likely scenarios in geotechnical engineering. The verification of the proposed method is achieved by reproducing two lab testings.