A GENERALIZED CONFORMING QUADRILATERAL MEMBRANE ELEMENT INSENSITIVE TO GEOMETRIC DISTORTION
构造几何不敏感四边形膜元的广义协调方法

In numerical analysis many finite element models have acceptable performance when the computing meshes are regular. However, as the level of mesh distortion increases, their accuracy of solutions descends rapidly. Therefore, how to formulate an element that is less sensitive to geometric distortion was an important question for study for a long period. In this paper, a simple quadrilateral membrane element with rotational degrees-of-freedom is developed with the approach of the generalized conforming element proposed earlier by one of the author of this paper. The new element exhibits an excellent feature, that is, much less sensitive to geometric distortion. Also a general method to formulate high precision finite element that is less sensitive to geometric distortion is provided in this paper.