关于三变量杂交/混合元位移、应变及应力插值函数选择匹配的几个问题

SOME PROBLEMS ABOUT THE SELECTION AND UATCHING OF DISPLACEMENTS, STRAINS, AND STRESSES POLYNOMIAL FUCTIONS IN 3 VARIABLES HYBRID/MIXED ELEMENT

针对已建立的八节点杂交／混合三维块体单元在选择位移、应变及应力插值函数时应注意的几个问题进行了详细的论述，并证实了该单元能够避免多余零能模式，单元刚度阵满足不缺秩条件。

In this paper, some problems about the selection of displacements, strains, and stresses polynomial functions are discussed in detail, with regard to the 8 node hytrid/mixed 3 D solid element established. This paper proves that this element is able to avoid additional zero energy modes and the element stiffness matrix satisfies the non insufficient rank corditions.