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.
A concept of the flow function and the corresponding variational principle were de- veloped 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 sys- tem was involvedl 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 variation- al principle with the higher order differential.
出处
《应用数学和力学》
CSCD
北大核心
2013年第1期1-9,共9页
Applied Mathematics and Mechanics
关键词
不可压缩
有限元
高次插值
界带
流函数
incompressible
finite element method
higher order interpolation
inter-belt
flowfunction
