摘要
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.
基金
国家自然科学基金
关键词
有限位移
弹性力学
分区广义变分
弹性体
finite deformation,elastic mechanics,piecewise generalized variation