最小耗能原理及其在流变固体中的应用  

Principle of Least Energy Dissipation And Its Application to Rheological Solid

作　　者：罗迎社[1] 唐松花[2,3] 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 [3]湘潭大学基础力学与材料工程研究所,湖南湘潭411105

出　　处：《中南林业科技大学学报》2009年第4期42-48,共7页Journal of Central South University of Forestry & Technology

基　　金：湖南省自然科学基金项目(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)资助

摘　　要：介绍了一个具有新内涵的最小耗能原理并讨论了它在流变固体力学中的应用.根据基于最小耗能原理的本构关系理论,导出了Bingham体及Maxwell体的本构关系;根据基于最小耗能原理的最小功耗原理,建立了准静态粘弹性力学率型变分原理的两种基本型式.所举的两个算例表明,根据上述新变分原理的两种基本形式,可求得问题的正确解答.The paper proposes a principle of least energy dissipation with new intensions and discusses its application to rheological solid mechanics. According to the theory of constitutive relations based on the principle of least energy dissipation, the constitutive relations of Bingham body and Maxwell body are deduced and two basic types of the variational principle for quasi-static visco-elastic mechanics are established. Two examples given in the paper show that correct solutions can be obtained by using the two basic types.

关 键 词：流变力学 最小耗能原理 流变固体 本构关系 变分原理 

分 类 号：O37[理学—流体力学]