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有限位移弹性体的分区广义变分原理
引用本文:吴祥法,聂毓琴,刘寒冰.有限位移弹性体的分区广义变分原理[J].吉林大学学报(工学版),1997(4).
作者姓名:吴祥法  聂毓琴  刘寒冰
作者单位:北京理工大学,吉林工业大学
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。

关 键 词:有限位移  弹性力学  分区广义变分

Piecewise Generalized Variation Principles in Elasticity with Finite Deformation
Wu Xiangfa.Piecewise Generalized Variation Principles in Elasticity with Finite Deformation[J].Journal of Jilin University:Eng and Technol Ed,1997(4).
Authors:Wu Xiangfa
Affiliation:Wu Xiangfa (Beijing University of Science and Technology) Nie Yuqin Liu Hanbing (Jilin University of Technology)
Abstract: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.
Keywords:finite deformation  elastic mechanics  piecewise generalized variation  
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