摘要
基于分区混合能量原理的分区混合元法是一种高精度有限元方法,可用于分析含裂纹、孔洞、切口等缺陷的问题。本文推导了分区混合元法中应力元的刚度矩阵;分析了应力元的多余零能模式,并证明了整体分析中对多余零能模式的消弭;文中还对分区混合元法中应力元的应力项数与应力单元尺寸对分析结果的影响进行了系统的讨论。
The sub-region mixed finite element is developed based on the sub-region mixed energy principle. It is a high-precision element, which is used to solve fracture problem and problems with notches and holes. The stiffness matrix of the stress element in the subregion mixed finite element method has been constructed. Spurious zero energy modes are present in the stress element, but it is proved that non spurious zero energy mode is present in the global analysis of the whole structure. The error estimate is systematically discussed under the condition of different number of stress terms of different element size.
出处
《工程力学》
EI
CSCD
北大核心
2001年第6期39-46,共8页
Engineering Mechanics
基金
国家自然科学基金(59878022)
清华大学基础研究基金(JC1999002)
