Research and application of interpolation of 3D finite element displacement field

WANG De-ling; LI Chun-guang; GE Xiu-run

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Research and application of interpolation of 3D finite element displacement field

更新时间：2026-06-25

- Research and application of interpolation of 3D finite element displacement field
- Vol. 25, Issue 2, (2004)
- 作者机构：
  
  中国科学院武汉岩土力学研究所岩土力学重点实验室,湖北,武汉,430071
- 作者简介：
- 基金信息：
- DOI：
  CLC： TB115
- Online First：15 July 2014，
  
  Published：2004
- 稿件说明：
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WANG De-ling, LI Chun-guang, GE Xiu-run. Research and application of interpolation of 3D finite element displacement field[J]. 2004, 25(2).
DOI：

WANG De-ling, LI Chun-guang, GE Xiu-run. Research and application of interpolation of 3D finite element displacement field[J]. 2004, 25(2). DOI：

摘要

对三维有限元位移场的插值问题进行了研究，提出基于Delaunay三角剖分的二次细分网格法。该法首先建立2个模型——整体模型和局部二次细分模型，对整体模型进行有限元计算和反分析得到初始地应力场和位移场；然后，基于Delaunay三角剖分，对整体模型的三维有限元位移场进行插值，插值结果作为局部模型的边界位移，局部二次细分模型再在此基础上进行有限元分析。最后，将该方法应用于工程实践，证明能提高计算效率，是切实可行的。

Abstract

The interpolation of 3D finite element displacement field is researched. The method of secondly subdivision meshes is proposed; it is based on Delaunay triangulation. According to this method

unitary model and partial remeshed model are firstly set up

the initial stress and displacement fields of unitary model are obtained by using FEM and back analysis. Consequently based on Delaunay triangulation

the method interpolates 3D finite element displacement field of unitary model. Then the interpolating results act as boundary displacement of partial model

based on which partial remeshed model performs finite element analyses. At last

this method is used in practical project; that proves that it can improve computational efficiency and it is feasible.

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