To solve large deformation geotechnical problems, a novel strain‐smoothed particle finite element method (SPFEM) is proposed that incorporates a simple and effective edge‐based strain smoothing method within the framework of original PFEM. Compared with the original PFEM, the proposed novel SPFEM can solve the volumetric locking problem like previously developed node‐based smoothed PFEM when lower‐order triangular element is used. Compared with the node‐based smoothed PFEM known as “overly soft” or underestimation property, the proposed SPFEM offers super‐convergent and very accurate solutions due to the implementation of edge‐based strain smoothing method. To guarantee the computational stability, the proposed SPFEM uses an explicit time integration scheme and adopts an adaptive updating time step. Performance of the proposed SPFEM for geotechnical problems is first examined by four benchmark numerical examples: (a) bar vibrations, (b) large settlement of strip footing, (c) collapse of aluminium bars column, and (d) failure of a homogeneous soil slope. Finally, the progressive failure of slope of sensitive clay is simulated using the proposed SPFEM to show its outstanding performance in solving large deformation geotechnical problems. All results demonstrate that the novel SPFEM is a powerful and easily extensible numerical method for analysing large deformation problems in geotechnical engineering.

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岩土工程中大变形问题的基于边缘的应变平滑粒子有限元方法

为了解决大变形的岩土工程问题，提出了一种新颖的应变平滑粒子有限元方法（SPFEM），该方法在原始PFEM的框架内结合了一种简单有效的基于边的应变平滑方法。与原始PFEM相比，所提出的新颖SPFEM可以解决体积锁定问题，如使用低阶三角形元素时，以前开发的基于节点的平滑PFEM一样。与基于节点的平滑PFEM（称为“过软”或低估属性）相比，由于采用了基于边缘的应变平滑方法，因此所提出的SPFEM提供了超收敛且非常准确的解决方案。为了保证计算的稳定性，建议的SPFEM使用显式的时间积分方案并采用自适应更新时间步长。首先通过四个基准数值示例来检验提议的SPFEM在岩土工程中的性能：（a）钢筋振动；（b）带状基础的大沉降；（c）铝制钢筋的坍塌；以及（d）均质土的破坏坡。最后，利用提出的SPFEM对敏感黏土边坡的渐进破坏进行了模拟，以显示其在解决大变形岩土问题中的出色表现。所有结果表明，新颖的SPFEM是一种用于分析岩土工程中大变形问题的强大且易于扩展的数值方法。提出的SPFEM软件模拟了敏感黏土的边坡渐进破坏，以显示其在解决大变形岩土问题中的杰出表现。所有结果表明，新型SPFEM是一种强大且易于扩展的数值方法，可用于分析岩土工程中的大变形问题。提出的SPFEM软件模拟了敏感黏土的边坡渐进破坏，以显示其在解决大变形岩土问题中的杰出表现。所有结果表明，新型SPFEM是一种强大且易于扩展的数值方法，可用于分析岩土工程中的大变形问题。