构造任意非协调四边形单元的新模式

NEW FORMULATIONS OF CONSTRUCTING ARBITRARY NONCONFORMING QUADRILATERAL ELEMENTS

通过对Ｑ４元增加一个非协调高阶项，构造了一类新的非协调四边形单元，并证明由此产生的单元对任意四边形网格通过Ｉｒｏｎｓ分片检查和广义分片检查，且形状函数不依赖于单元本身．ＱＭ５是其中的一个特例．数值结果表明，该类单元有很好的收敛效果．

In this paper,a kind of nonconforming quadrilateral elements is presented by adding a nonconforming high order term to Q 4 element.The authors prove that these elements pass through Irons' patch test and the generalized patch test for arbitrary quadrilateral meshes.The choice of shape functions is independent of the elements geometrical parameters.QM5 element is a special case of the elements in the paper.Numerical results show that these elements have good convergence behavior.