有限位移弹性体的分区广义变分原理

Piecewise Generalized Variation Principles in Elasticity with Finite Deformation

讨论了有限位移弹性体分区广义变分原理的三种形式（分区势能、分区余能、分区混合），给出了它们之间的相互关系，推广了文献〔１〕、〔２〕的工作。最后给出了一般的分区变分原理，各种有限元模型可看作是这个原理的特殊应用。

This paper presents three forms of piecewise generalized variation principles for elasticity,with finite deformation.The relationships between them are also given,thus extending the results of Refs. 1 and 2 .Finally,the more general piecewise variation principle is put forward.Many kinds of finite element models can be seen as some special applications of the present principles.