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Application assessment of hybrid smoothed finite element method for geotechnical deformation and stability analysis

混合光滑有限元法在岩土体变形及稳定性分析中的应用

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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.

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。

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Authors and Affiliations

  1. Key Laboratory of Urban Underground Engineering of Ministry of Education (Beijing Jiaotong University), Beijing, 100044, China

    Yan-nan Lyu  (吕彦楠), Xi Chen  (陈曦), Jian-bin Tang  (唐建彬), Liu-sheng Cui  (崔柳生) & Zong-qi Liu  (刘宗祺)

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  1. Yan-nan Lyu  (吕彦楠)
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  2. Xi Chen  (陈曦)
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  3. Jian-bin Tang  (唐建彬)
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  4. Liu-sheng Cui  (崔柳生)
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Correspondence to Xi Chen  (陈曦).

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Contributors

LYU Yan-nan provided the methodology and wrote the original draft. CHEN Xi provided the concept, and supervised the project. TANG Jian-bin performed some investigations. CUI Liu-sheng and LIU Zong-qi conducted data curation.

Conflict of interest

LYU Yan-nan, CHEN Xi, TANG Jian-bin, CUI Liu-sheng, LIU Zong-qi declare that they have no conflict of interest.

Foundation item

Project(52178309) supported by the National Natural Science Foundation of China; Project(2017YFC0804602) supported by the National Key R&D Program of China

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Lyu, Yn., Chen, X., Tang, Jb. et al. Application assessment of hybrid smoothed finite element method for geotechnical deformation and stability analysis. J. Cent. South Univ. 30, 919–933 (2023). https://doi.org/10.1007/s11771-023-5285-9

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  • DOI: https://doi.org/10.1007/s11771-023-5285-9

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