摘要
在单元柔度矩阵表达式的基础上,依据已推导出的空间任意多面体单元柔度矩阵的具体表达式和利用La-grange乘子法推导出的以基面力为基本未知量的线弹性问题的余能原理有限元控制方程的张量表达式及节点位移表达式,以四节点四边形单元应用为例,通过大型有限元软件ABAQUS对比该算法与传统位移有限元法的精确性和稳定性。
Based on the expression of element compliance matrix derived by Gao YC（2003） and the specific expression of spacial arbitrarily polyhedron element compliance matrix,using the tensor and node displacement expression by linear complementary finite element control equation expressed by the base force derived by Lagrange multiplier method,the paper taking four-node bilinear plane stress quadrilateral for example,contrasts the accuracy and stability of this method and traditional displacement finite element by ABAQUS.
出处
《黑龙江工程学院学报》
CAS
2010年第2期44-47,共4页
Journal of Heilongjiang Institute of Technology
关键词
基面力
余能原理
有限元
线弹性
ABAQUS
base force
complementary energy principle
finite element
linear elastic
ABAQUS
