具有元外节点的相容元素

 使用有限元素法做应力分析时,经常需要在不同的部位采用疏密程度不同的网格。在应用所谓“选择加密网格”进行最佳网格分析时尤其如此。这时,在粗细网格区域的分界处出现了位移不协调。本文建议一种利用元外节点的内插方案,从而得到完全相容的元素。文中叙述了这类元素形状函数的构造方法,适用性和优缺点。

CONFORMING ELEMENT WITH OUT-ELEMENT NODES

A grid division -with uneven spacing at different parts is often required for stress analysis by finite element method, especially when optimal grid analysis is carried out with the so-called "selective grid enrichment". In that case the displacements are incompatible on the dividing" line between the regions with sparser and denser grids.An interpolation scheme using out-element nodes so as to establish the entirely conforming elements is proposed in the present paper. The construction of shape functions, applicability, and merits of such element are discussed. ,