关于Pian-Sumihara杂交应力四边形元的一个等价形式

An equivalence relation between Pian-Sumihara's element and a linear stress hybrid quadrilateral

基于修正的Hellinger-Reissner变分原理,利用Wilson非协调位移和9参完全线性应力模式,作者得到了Pian-Sumihara五参杂交应力四边形元(P-S)的一个等价形式.这一等价性关系使P-S元的三维推广大大简化,然后作者给出了收敛性结果和数值算例.

Based on a modified Hellinger-Reissner principle ,an equivalence relation is established for Pian-Sumihara＇s 5-parameter stress element （P-S）, for which Wilson＇s incompatible displacements and 9- parameter complete linear stress mode are employed. The equivalence can make it more convenient for P- S to be extended to 3-dimensional problems. Convergence results are given and numerical experiment is also done to confirm the equivalence.