不可压缩材料分析的多变量元级消元法

本文提出求解不可压缩材料的多变量元级消元法。要点在于分单元变形余能为畸变和体变两部分,分别进行离散化,并且在单元级满足不可压缩条件。如此避免了用位移法求解时,静水压力不确定的困难,并且保证总刚的带形特性不受破坏。文中构造的平面杂交元在可压缩与不可压缩计算中均给出良好的数值结果。

A Multivariate Element Level Elimination for Incompressible Materials

A method of multivariate element level elimination for incompressible materials is presented. The principle is to slit the complementary energy as two parts of deviator and dilatation, and descrete them respectively. Furthermore, to satisfy the incompressible condition is in every element levels. One see that the difficulty of determining hydrostatic pressures by the usual displacement methods will be avoided, also the band and sparse form of the global stiffness matrix will not be destroyed. In this paper a plane hybrid element is derivated and some good numerical results are obtained for compressible and incompressible problems.