摘要
建立一类新的平面矩形与空间矩形块体单元,形函数构造考虑了单元内部不同方向位移间的耦合效应,通过对形函数引入耦合附加项,从而较真实地描述了单元内部场和节点值之间的函数关系。数值试验表明新的类型单元实施方便,较传统类型单元有更高的精度。
A new kind of rectangular elements（generalized rectangular element） is developed.The coupling effect in the different directions of the displacement inside the element is considered,and the additional coupling terms are introduced in the shape functions.The accuracy of the relations between the displacement field inside the element and the displacements at nodal points of the element is approximately improved.Numerical tests show that the new element is convenient for implementation and has more accuracy than the conventional element.
出处
《计算力学学报》
EI
CAS
CSCD
北大核心
2010年第3期391-396,共6页
Chinese Journal of Computational Mechanics
基金
国家自然科学基金(10721062
90715037)
长江学者和创新团队发展计划
国家基础性发展规划项目(2010CB832704)资助项目
关键词
平面矩形单元
空间矩形块体单元
形函数
分片试验
plane rectangular element
space rectangular brick element
shape function
patch test
