最小耗能原理及其在塑性力学中的应用  

Least energy dissipation principle and its application in plastic mechanics

作　　者：罗迎社[1] 唐松花[2] 周筑宝[2] 

机构地区：[1]中南林业科技大学流变力学与材料工程研究所,湖南长沙410004 [2]中南大学土木建筑学院,湖南长沙410075

出　　处：《广西大学学报（自然科学版）》2009年第2期136-143,共8页Journal of Guangxi University（Natural Science Edition）

基　　金：湖南省自然科学基金资助项目(03JJY3007);湖南省优秀博士学位论文专项奖励科研项目(湘财教指[2003]48号)

摘　　要：在经典塑性力学中,屈服准则、本构关系都是通过观察实验结果而提出的假设.塑性力学中的变分原理也是类比于弹性力学中的变分原理建立的.介绍一个具有新内涵的最小耗能原理以及用它解决问题的三种途径,通过这三种不同的途径分别导出了塑性力学中的Mises屈服准则、各种增量型的塑性本构关系以及可以作为建立各类力学(包括塑性力学)变分原理统一理论框架的最小功耗原理,从而证明了这个具有新内涵的最小耗能原理可以在塑性力学中发挥重要的作用.In the classical plastic mechanics both the yield criterion and constitutive relations are the hypothesis which develop through experiments observation, and the variational principle are also built similarly with the variational principle in the elastic mechanics. In this paper a least energy dissipation principle with new contents and its three approaches to solve various problems are introduced, besed on thess approaches, Mises yield criterion, various incremental plastic constitutive relations and a least work consumption principle may become the uniform theoretical frame of building all kinds of variational principle in mechanics （including the plastic mechanics）, it is proven that the least energy dissipation principle with new contents can play a important role in the plastic mechanics.

关 键 词：最小耗能原理 塑性力学 屈服准则 本构关系 变分原理 

分 类 号：TU313.2[建筑科学—结构工程] O344.1[理学—固体力学]