摘要
Zienkiewicz 九参数的不协调三角形板元以单元顶点上的函数值和两个一阶偏导数值作为节点参数,形式简单,总体自由度少,但它只对特殊剖分才收敛,不便于实际应用.后来相继出现一些对 Zienkiewicz元的改进形式,如拟协调元,TRUNC元,广义协调元等.这是一类非常规的有限元,均为三结点九参数三角形元.
A detailed analysis of a new nine parameter plate element, introduced recently by specht,is presented. It is shown that the mean values over the normal derivative of this new elementat common sides of two triangles are not only continuous, but also identical with the quad-rature values using the trapezoidal rule. The relationships of specht's element with zienkie-wicz's incompatible cubic elemant, Argyris' TRUNC Ⅱ element, and the quasi-comforming ele-ment are discussed.
出处
《计算数学》
CSCD
北大核心
1989年第3期312-318,共7页
Mathematica Numerica Sinica
