平面八节点有限元网格生成的位移向量法

在曲边图形的有限元计算中，为了保证计算精度及减小计算规模，提出了一种生成八节点四边形单元的位移向量法，以比例渐变的方式综合考虑了四边形各曲边的格栅点对中间各对应点的影响.为了避免出现奇异性单元，在划分的过程中灵活地应用了比例划分.利用开发的VB和FORTRAN程序对一些模型进行了前处理网格划分和有限元数值计算，结果表明：该方法能简单、快速地生成有限元网格，并且数值结果与解析解良好吻合.

A displacement vector method for generating planar eight node finite element mesh

In the finite element calculation for a geometry with curved edges, a displacement vector method is proposed for generating an eight node quadrilateral mesh to ensure the computational accuracy and to reduce the amount of computation. In this method, the effect of the grid points on each curved edge on the middle ones on the edge is considered with a gradually changing proportion. To avoid any singular element, the proportional division is flexibly used in the process of mesh generation. With the developed VB and FORTRAN programs, pre processing mesh generations and finite element computations are conducted for some models. The results show that the finite element mesh can be simply and rapidly generated with this method and that the numerical results are in good agreement with the analytical solution.