Journal of Shanghai Jiao Tong University

Journal of Shanghai Jiaotong University >

2005 , Vol. 39 >Issue 05: 727 - 730

DOI: https://doi.org/10.16183/j.cnki.jsjtu.2005.05.015

The Computational Methods of Natural Element Method in Two Dimensional Elasto-Plastic Analysis

Expand
  • Dept. of Civil Eng. , Shanghai Jiaotong Univ. , Shanghai 200030, China

Received date: 2004-04-28

  Online published: 2021-04-25

Fold

Abstract

In order to make natural element method (NEM) be applied to calculate and analyse the elastoplastic material, through cosidering the essential elasto-plastic theory and the specialties of NEM, an algorithm for two dimensional elasto-plastic analysis based on the yield criteria of Von-Mises, Mohr-Coulomb and Drucker-Prager was presented. Each of them has an example to check its exactness and proves its advantage at precision. Those works enlarged the applicable range of NEM.

Key words： natural element method (NEM); elasto-plastic analysis; Delaunay triangulation; yield criteria

Cite this article

ZHANG Ying-xin, WANG Jian-hua, GAO Shao-wu . The Computational Methods of Natural Element Method in Two Dimensional Elasto-Plastic Analysis[J]. Journal of Shanghai Jiaotong University, 2005 , 39(05) : 727 -730 . DOI: 10.16183/j.cnki.jsjtu.2005.05.015

References

[1] Braun J, Sambridge M. A numerical method for solving partial differential equations on highly irregular evolving grids[J]. Nature, 1995, 376: 655-660.
[2] Sukumar N, Moran B, Belytschko T. The nature element method in solid mechanics[J]. Int J Num Meth Eng, 1998, 43: 839-887.
[3] 王建华, 徐强勋, 张锐. 任意形状三维物体的Delaunay网格生成算法[J]. 岩石力学与工程学报, 2003, 22(5): 717-722.
[3] WANG Jiao-hua, XU Qiang-xun, ZHANG Rui. Delaunay algorithm and related procedure to generate the tetrahedron mesh for an object with arbitrary boundary[J]. Chinese Journal of Rock Mechanics and Engineering, 2003, 22(5): 717-722.
[4] 戴斌, 王建华. 自然单元法原理与三维算法实现[J]. 上海交通大学学报, 2004, 38(7): 1222-1224.
[4] DAI Bin, WANG Jian-hua. The natural element method and its computational algorithms in three dimensions[J]. Journal of Shanghai Jiaotong University, 2004, 38(7): 1222-1224.
[5] 蔡永昌, 朱合华, 王建华. 基于Voronoi结构的无网格局部Petrov-Galerkin方法[J]. 力学学报, 2002, 35(2): 187-193.
[5] CAI Yong-chang, ZHU He-hua, WANG Jian-hua. The meshless local Petrov-Galerkin method based on the voronoi cells[J]. Acta Mechanica Sinica, 2002, 35(2): 187-193.
[6] 徐斌. 弹塑性自然单元法及其面向对象的程序实现[D]. 上海: 同济大学土木工程学院, 2003.
[7] 宋天霞. 非线性结构有限元计算[M]. 武汉: 华中理工大学出版社, 1996.211-223.
Options
Outlines

/

〈 〉