上海交通大学学报

上海交通大学学报 >

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

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

二维弹塑性自然单元法算法实现

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  • 上海交通大学土木工程系，上海 　200030
张英新（1978-)，男，山东掖县人，硕士，主要研究方向为弹塑性自然单元法算法及程序实现．|王建华（联系人），男，教授，博士生导师，电话（Tel.）: 021-62932915; E-mail: wjh417@sjtu.edu.cn.

收稿日期: 2004-04-28

  网络出版日期: 2021-04-25

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

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

Received date: 2004-04-28

  Online published: 2021-04-25

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摘要

为了使自然单元法能够应用于土体等具有弹塑性本构关系的材料的分析计算，通过结合弹塑性理论及自然单元法自身特点，研究了在自然单元法中采用Von-Mises、Mohr-Coulomb和Drucker-Prager屈服准则解决二维弹塑性问题的算法，并利用面向对象的程序设计方法编制了相应的计算程序．通过算例验证了各屈服准则下算法的正确性，证明了自然单元法相对于常规有限元算法在精度上的优势．在自然单元法中实现了Mohr-Coulomb和Drucker-Prager屈服准则，拓展了自然单元法的适用范围．

关键词： 自然单元法; 弹塑性分析; Delaunay三角化; 屈服准则

本文引用格式

张英新, 王建华, 高绍武 . 二维弹塑性自然单元法算法实现[J]. 上海交通大学学报, 2005 , 39(05) : 727 -730 . DOI: 10.16183/j.cnki.jsjtu.2005.05.015

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

参考文献

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