Application of meshless natural element method to elastoplastic analysis

ZHU He-hua; YANG Bao-hong; CAI Yong-chang; XU Bin

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Application of meshless natural element method to elastoplastic analysis

更新时间：2026-06-25

- Application of meshless natural element method to elastoplastic analysis
- Vol. 25, Issue 4, (2004)
- 作者机构：
  
  1. 同济大学土木工程学院地下建筑与工程系,上海,200092
  2. 重庆大学西南资源开发及环境灾害控制工程教育部重点实验室,重庆,400045
- 作者简介：
- 基金信息：
- DOI：
  CLC： TB114.1
- Online First：17 July 2014，
  
  Published：2004
- 稿件说明：
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ZHU He-hua, YANG Bao-hong, CAI Yong-chang, et al. Application of meshless natural element method to elastoplastic analysis[J]. 2004, 25(4).
DOI：

ZHU He-hua, YANG Bao-hong, CAI Yong-chang, et al. Application of meshless natural element method to elastoplastic analysis[J]. 2004, 25(4). DOI：

摘要

无网格自然单元法在构造位移插值函数时不需要单元的信息，只需要结点的信息，在裂纹扩展模拟、材料非线性分析、几何非线性分析以及三维计算等方面具有广阔的应用前景。阐述了将无网格自然单元法应用于结构弹塑性分析的过程和基本理论，给出了其位移插值函数的构造过程，并将其结果与常规的有限单元法进行对比，证明了该方法用于弹塑性分析的优越性。

Abstract

The meshless natural element method(NEM) requires only nodes and a description of the external and internal boundaries

and no element connectivity is needed totally or partly. Therefore

meshless natural element method can be widely applied to crack propagation problems

elastoplastic analysis of materials and large deformation problems. Based on the summarization of the present literatures

the nature element method

which possesses the characters and advantages of the traditional finite element method and other meshless methods

has been studied further. And its application to elastoplastic problems is proposed and the basic principles of meshless natural element method are presented too. Finally

some special problems are given to verify the program designed according to the principles.

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