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[1]彭从文,董龙彬,吴群.Cosserat弹塑性模型在ABAQUS中的数值实施[J].武汉工程大学学报,2011,(06):102-106.[doi:10.3969/j.issn.16742869.2011.06.024]
　PENG Congwen,DONG Longbing,WU Qun.Numerical implementation of elastoplasticCosserat continuum model in ABAQUS[J].Journal of Wuhan Institute of Technology,2011,(06):102-106.[doi:10.3969/j.issn.16742869.2011.06.024]
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Cosserat弹塑性模型在ABAQUS中的数值实施(/HTML)
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《武汉工程大学学报》[ISSN:1674-2869/CN:42-1779/TQ]

卷:
期数:
2011年06期
页码:
102-106
栏目:
资源与土木工程
出版日期:
2011-07-30

文章信息/Info

Title:
Numerical implementation of elastoplastic
Cosserat continuum model in ABAQUS
文章编号:
16742869（2011）06010205
作者:
彭从文1; 董龙彬2; 吴群3
1.长江大学 城市建设学院，湖北 荆州 434023; 2 荆州市城市规划设计研究院，湖北 荆州 434000；
3.深圳中广核工程设计有限公司，广东 深圳 518031
Author(s):
PENG Congwen1;  DONG Longbing2;  WU Qun3
1. School of Urban Construction, Yangtze University, Jingzhou 434023, China;2. Jingzhou Urban Planning & Design
Institute, Jingzhou 434000, China; 3.China Nuclear Power Design Company LTD(Shenzhen),Shenzhen 518031,China
关键词:
Cosserat模型; FEM; ABAQUS; UEL; 局部化
Keywords:
Cosserat model;  FEM;  ABAQUS;  UEL;  localization
分类号:
TB12
DOI:
10.3969/j.issn.16742869.2011.06.024
文献标志码:
A
摘要:
利用大型有限元软件ABAQUS提供的接口程序UEL,开发了压力相关弹塑性Cosserat连续体材料的用户单元.采用平面八节点等参单元，包括平动与转动三个自由度，考虑相关联流动的DrycjerPrager材料模型，应力计算采用四阶龙格库塔法.利用该单元分析了材料局部化问题中网格密度与材料特征长度的影响.结果表明，网格密度对材料剪切带厚度与等效塑性应影响很小；随着特征长度增大，剪切带厚度增大，等效塑性应变峰值减小.
Abstract:
The subroutine UEL embedded in commercial FEM software ABAQUS is utilized to develop a user element based on the material of pressuredependent elastoplastic Cosserat continuum model. The user element adopt plane eightnode isoparametric unit which include three degree of freedom(two translation and one rotation) at each node. The DruckerPrager material model with associate flow rule is used, and the stress integration algorithm is fourorder RungeKutta method. The user element is used to analyze the influence of mesh density and the material characteristic length in the material localization problem. The results show that the thickness of shear band and the equivalent plastic strain are independent of mesh density, with the increase of the material characteristic length, the thickness of shear band and the equivalent plastic strain decrease constantly.

参考文献/References:

［1］Cosserat E, Cosserat F. Theorie des Corps Deformables ［M］.Paris: Herman et Files, 1909.
［2］Toupin R A. Elastic materials with couple stresses ［J］.Archive Rational Mechanics and analysis, 1962(11): 385414.
［3］Mindlin R D, Tiersten H F. Effects of couple stresses in linear elasticity ［J］. Archive Rational Mechanics and analysis, 1962(11): 415448.
［4］杨乐, 吴德伦, 许年春. 偶应力理论的层状岩体洞室数值模拟［J］. 重庆建筑大学学报, 2008, 30（3）:7377.
［5］尹雪英, 杨春和, 李银平. 层状盐岩体三维Cosserat介质扩展本构模型的程序实现［J］. 岩土力学, 2007,28(7):14151420,1426.
［6］朱珍德, 秦天昊, 王士宏, 等. 基于Cosserat理论的柱状节理岩体各向异性本构模型研究［J］. 岩石力学与工程学报,2010,29(增2): 40684076.
［7］Sharbati E, Naghdabadi R. computational aspects of the cosserat finite element analysis of localization phenomenon［J］. Computational materials science,2006(38):303315.
［8］HAYDAR ARSLAN. Localization analysis of granular materials in cosserat elastoplasticity –formulation and finite element Implementation ［D］.Colorado: University of Colorado, 2006, 8588.

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备注/Memo

备注/Memo:
收稿日期：20110301基金项目：国家自然科学基金资助项目（51078831）作者简介：彭从文（1969），男，湖南岳阳人，副教授，博士.研究方向：材料破坏的观机制及多层结构模型研究.第33卷第6期2011年06月武汉工程大学学报J.WuhanInst.Tech.Vol.33No.6Jun.2011
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