The Finite Element Method of a Kind of New Variational Principle

摘要

The variational problem of the variational principle, which is so called in Mechanics, is very useful when building more reasonable calculating theory of the finite element. This paper focuses on how to derive the corresponding calculating formula of the finite element method according to a kind of new variational principle. And the specific instances are given, and the results are correct.This finite element method of the new variational principle is appropriate to the general situations including elasticity, plasticity and rheology, besides, it offered a new alternative way for some more complicated problems, such as the study of elastic-plastic interface in the elastic-plastic analysis.