华南理工大学学报(自然科学版) ›› 2014, Vol. 42 ›› Issue (4): 59-69,76.doi: 10.3969/j.issn.1000-565X.2014.04.010

• 力学 • 上一篇    下一篇

基于扰动状态概念的颗粒材料应变局部化行为模拟

付平 楚锡华 余村 徐远杰 屈文忠   

  1. 武汉大学 土木建筑工程学院, 湖北 武汉 430072
  • 收稿日期:2013-09-17 修回日期:2013-12-24 出版日期:2014-04-25 发布日期:2014-03-03
  • 通信作者: 楚锡华(1977-),男,副教授,博士生导师,主要从事计算固体力学和颗粒材料力学研究. E-mail:chuxh@whu.edu.cn
  • 作者简介:付平(1989-),男,博士生,主要从事为颗粒材料力学研究.E-mail:celineyoo@whu.edu.cn
  • 基金资助:

    国家自然科学基金项目(10802060, 11172216);国家 “973” 计划项目(2010CB731502)

Simulation of Strain Localization of Granular Materials Based on Disturbed State Concept

Fu Ping Chu Xi- hua Yu Cun Xu Yuan- jie Qu Wen- zhong   

  1. School of Civil and Architectural Engineering,Wuhan University,Wuhan 430072,Hubei,China
  • Received:2013-09-17 Revised:2013-12-24 Online:2014-04-25 Published:2014-03-03
  • Contact: 楚锡华(1977-),男,副教授,博士生导师,主要从事计算固体力学和颗粒材料力学研究. E-mail:chuxh@whu.edu.cn
  • About author:付平(1989-),男,博士生,主要从事为颗粒材料力学研究.E-mail:celineyoo@whu.edu.cn
  • Supported by:

    国家自然科学基金项目(10802060, 11172216);国家 “973” 计划项目(2010CB731502)

摘要: 基于经典连续体的Duncan- Chang 模型缺少用于表征材料破坏程度的参数及与应变局部化带宽相关的特征长度,且无法反映材料的软化特性.为此,基于扰动状态概念,引入Cosserat 连续体理论作为正则化机制,以Duncan- Chang 模型描述相对完整状态下材料的响应,以临界状态模型描述完全调整状态下材料的力学行为,并分别基于常规三轴试验曲线与体积应变阈值、形状改变能极限状态概念提出两种扰动因子演化方式.利用数值算例考察了扰动对材料承载力、应变局部化行为的影响.模拟结果表明: 两种演化方式均能描述材料的软化特性,第二种方式在预测剪破角变化规律方面更为合理; 所发展的扰动状态模型在模拟应变局部化问题时可以在一定程度上消除对有限元网格密度的敏感性.

关键词: 应变局部化, 扰动状态概念, Duncan- Chang 模型, Cosserat 理论, 扰动函数

Abstract:

Duncan- Chang model based on classical continuum theories cannot reflect the softening behavior ofgeotechnical materials and it lacks the parameters describing the failure of materials and the internal length scale re-lated to strain localization.In order to solve this problem,on the basis of the disturbed state concept and by intro-ducing the Cosserat continuum theory as a regularization mechanism,the response of materials in relative intactstate is described with the Duncan- Chang model,the mechanical behavior of materials in fully adjusted state ischaracterized with the critical state model,and two disturbance evolution modes,one of which is based on the volu-metric strain threshold as well as the conventional triaxial test curves and the other is based on the limit state of de-viator strain energy,are presented.Moreover,some numerical examples are given to reveal the effects of distur-bance on the bearing capacity and the strain localization behavior.The results show that both of the two disturbanceevolution modes well describe the softening behavior of materials,the latter mode is more reasonable than the formerin terms of the inclination angle prediction of shear band,and the developed disturbed state model above helps toreduce the mesh density- dependence of the results to a certain degree when it is used to simulate the strain localiza-tion phenomenon.

Key words: strain localization, disturbed state concept, Duncan- Chang model, Cosserat theory, disturbance function