【作者】 管楠祥； 岑松； 陈晓明；

【Author】 Nan-Xiang Guan~1 Song Cen~(1,2*) Xiao-Ming Chen~1 (1.School of Aerospace,Tsinghua University,Beijing 100084; 2.Failure Mechanics Laboratory,Tsinghua University,Beijing 100084)

【机构】 清华大学航天航空学院；

【摘要】 本文利用了点组合广义协调和周广义协调条件,基于四边形面积坐标方法构造了含内参的4结点四边形空间轴对称单元 AQACQ6。通过进一步对内参应变矩阵进行合理修正,从而形成新单元AQACQ6M,该单元能够通过强势分片检验。两种单元的位移场都达到对整体坐标的二次完备。数值算例表明上述轴对称单元不仅精度高,而且抗网格畸变和几乎不可压缩问题能力优于等参单元,显示了面积坐标和广义协调理论的优越性。更多还原

【Abstract】 By using nodal and perimeter version generalized conforming conditions,a 4-node quadrilateral axisymmetric element AQACQ6,which contains internal parameters,is formulated by the Quadrilateral Area Coordinate (QAC) method.Then,its nonconforming strain matrix obtains further modification,and a new element AQACA6M,which can pass the strict form constant stress/strain patch test,is thus constructed.It can be shown that the displacement fields of two new elements both possess quadratic completeness in global coordinate. Numerical examples show that these proposed QAC axisymmetric elements exhibit better performance than other models in mesh distortion and almost impressible problems.The efficiency of the QAC method and the generalized conforming theory for developing simple,effective and reliable finite elements is again demonstrated.更多还原