混合光滑有限元法在岩土体变形及稳定性分析中的应用
Application assessment of hybrid smoothed finite element method for geotechnical deformation and stability analysis
吕彦楠 1陈曦 1唐建彬 1崔柳生 1刘宗祺1
作者信息
- 1. Key Laboratory of Urban Underground Engineering of Ministry of Education(Beijing Jiaotong University),Beijing 100044,China
- 折叠
摘要
在节点光滑有限元法(NS-FEM)中,位移、应力和应变等变量均存储于单元节点,有助于该方法的数值精度提升和便利实施.然而,在岩土体变形分析中,NS-FEM可能会导致非物理的变形.本文针对该问题,对NS-FEM引起岩土体非物理变形的原因进行研究,发现非物理变形由NS-FEM组装刚度的不均匀引起.为了避免或减轻组装刚度的不均匀问题,采用有限元法(FEM)和NS-FEM的组合方法,即混合光滑有限元法(HS-FEM),对岩土体变形和稳定性进行分析.分别对平面应变条件下柔性条形基础(不考虑土体自重)、带有圆形孔洞的线弹性介质和双层土质边坡问题进行分析,结果表明:结合推荐的α值,HS-FEM(α)在岩土体变形和稳定性分析中具有较好的应用效果和适用性.
Abstract
In the node-based smoothed finite element method (NS-FEM), the unknowns including displacement, stress and strain are all stored at element nodes, contributing to good numerical accuracy and implementation convenience of the method. For the geotechnical deformation analyses, however, NS-FEM may cause the non-physically oscillated deformation. In this work, the cause of the non-physical geotechnical deformation behavior associated with NS-FEM is investigated, and it is found that the non-physical geotechnical deformation is attributed to unevenness of the assembled stiffness in NS-FEM. To obviate the non-physical geotechnical deformation problem, the hybrid smoothed finite element method (HS-FEM), as a combination of finite element method (FEM) and NS-FEM, is applied. Based on a flexible strip footing resting on the ground of weightless soil, a linear elastic medium with a circular cavity and a two-layered soil slope, the applicability of HS-FEM(α) with adequate parameter α to geotechnical deformation and stability analysis is validated.
关键词
不均匀刚度/条形基础/边坡稳定性/节点光滑有限元法/混合光滑有限元法/应变能Key words
uneven stiffness/strip footing/slope stability/node-based smoothed finite element method/hybrid smoothed finite element method/strain energy引用本文复制引用
基金项目
National Natural Science Foundation of China(52178309)
National Key R&D Program of China(2017YFC0804602)
出版年
2023
NETL
NSTL
维普
万方数据