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不可压缩材料分析的界带有限元
Inter-Belt Finite Element for the Analysis of Incompressible Material Problems
【摘要】 针对完全不可压缩材料系统(ν=0.5),提出流函数的概念,给出相应的变分原理,并进行数值分析.流函数的引入涉及到高阶微分,为此提出界带有限单元.该单元基于界带理论,能够很好地解决具有高阶微商的变分原理所带来的高阶近似问题.
【Abstract】 A concept of the flow function and the corresponding variational principle were developed to deal with the absolute incompressible material system,and the numerical analysis was also presented.When the flow function was introduced,the higher order differential system was involved,which led to a new type of element,the inter-belt finite element,based on the belt theory.The belt finite element can overcome well the problem derived by the variational principle with the higher order differential.
【关键词】 不可压缩;
有限元;
高次插值;
界带;
流函数;
【Key words】 incompressible; finite element method; higher order interpolation; inter-belt; flow function;
【Key words】 incompressible; finite element method; higher order interpolation; inter-belt; flow function;
- 【文献出处】 应用数学和力学 ,Applied Mathematics and Mechanics , 编辑部邮箱 ,2013年01期
- 【分类号】TB30;TB115
- 【网络出版时间】2012-12-30 10:09
- 【被引频次】1
- 【下载频次】124