应变局部化捕捉的自适应有限单元法  

Capturing strain localization initiation with adaptive finite element method

作　　者：秦卫星[1] 陈胜宏[2] 张岳安[3] 熊海华 

机构地区：[1]长沙理工大学水利学院 [2]武汉大学水资源与水电工程科学国家重点实验室,湖北武汉430072 [3]化工部长沙设计研究院,湖南长沙410117 [4]中国水利水电建设集团公司,北京100000

出　　处：《长沙理工大学学报（自然科学版）》2008年第1期38-43,共6页Journal of Changsha University of Science and Technology:Natural Science

基　　金：国家自然科学基金项目(50379039);水利部科技创新项目(SCX2003-21);长沙理工大学创新团队;长沙理工大学人才引进基金资助项目

摘　　要：首先给出了自适应有限单元法基本分析框架,推导了岩土材料在平面应变情况下不连续分叉条件及分叉方向的解析解,建立了应变局部化发生发展准则.接着基于自适应技术与分叉理论,构建了捕捉应变局部化带的弹粘塑性自适应有限单元法完整体系,利用面向对象技术开发了相应的可视化集成软件系统.最后通过一个边坡算例考核了该方法与软件的合理性.分析结果表明,该软件系统能够准确快速捕捉应变局部化带最初发生方位,克服了网格依赖性问题,为后续应变局部化带行为模拟与局部化带扩展追踪奠定了基础.The analysis framework of adaptive finite element method is introduced.The analytical solution of discontinuous bifurcation and slip direction is formulated as the criterion of strain localization initiation and propagation for geomaterials under plane strain condition. Based on the adaptive technique and bifurcation theory, the methodology of elastic-vis-coplastic adaptive finite element method for capturing strain localization band is constructed, and the corresponding visual integrated analysis software system is developed with object-oriented technique. A numerical slope example is adopted to demonstrate the rationality of the theory and software. The results indicate that the software system can be used to capture the emerged position and orientation of strain localization band precisely and successfully, avoiding the problem of mesh dependence and the above researches lay a solid foundation for simulating mechanical behaviors and tracing propagation of localization bands.

关 键 词：应变局部化 初始方位 不连续分叉条件 自适应有限单元法 面向对象技术 

分 类 号：TU45[建筑科学—岩土工程]