二维有限元网格的自适应剖分及程序实现

有限单元法在计算岩土力学领域已得到广泛应用。在有限元的分析计算中，前处理工作即准备计算数据耗时费力。如何简化前处理工作、实现网络自动生成对于推广有限元分析至关重要。作者在综合考虑多种算法原理的基础上，对非规则几何图形、复连通域的二维模型提出了一套新的自适应剖分算法。该算法可以同时生成三角形单元和四边形单元，还能对单元形状进行规则性调整。给出了详细的实施步骤，并编写了相应的应用程序，应用程序同时提供了对单元节点进行优化排序的功能。实际应用表明，能够高效快速地给出良好的剖分网格。

AUTOMATIC MESH GENERATION SCHEME FOR PLANE BY ISOPARAMETRIC COORDINATES AND ITS PROGRAMMING

FEM has been widely applied to geotechnical engineering. Preparing FEM data always costs much time. It is very important how to simplify it and quickly generate excellent FEM mesh. Based on several splitting arithmetic, the author develops a new adaptive splitting arithmetic of FEM mesh. it can be used to split nonregular geometric graph and complex continuous one, to generate triangle element and quadrangle element, and to regularize the element. The author presents the detailed implementation steps and developed relevant application software.. The software can optimize the node code order. The results show this arithmetic can quickly and high-effectively generate excellent mesh scheme for plane by isoparametric coordinate.