超图在固体力学有限元法中的应用

Applications or Hypergraph to the Finite Element Method of Solid Mechanics

本文应用超图概念,分别研究了固体力学有限元法中的两个基本矢量——独立内力和形变位移,导出了固体力学有限元法中的两组基本方程——静力平衡方程和变形协调方程,用弹性力学有限元的一个例子进行了验证。

Independent internal forces and displacements are two basic vectors in the finite element method of solid mechanics. In this paper, they are discussed using the concepts of hypergraph, the equalibrium and compatibility equations which are two basic equations has been derived and a numerical example of elasticity is given.