关于一些特殊边界条件下的弹塑性应力场  

Elastoplastic stress field under some special boundary conditions

作　　者：李铀[1] 彭意[1] 

机构地区：[1]中南大学土木建筑学院,长沙410075

出　　处：《岩土力学》2006年第S1期55-58,共4页Rock and Soil Mechanics

基　　金：湖南省自然科学基金(No.04JJ6002);湖南省科技计划重点项目(No.05FJ2006);中南大学研究生教材建设项目(No.3340-75114)资助

摘　　要：当边界条件是如下一些特殊边界条件时即边界条件全为应力边界条件,或有位移边界条件但在塑性区边界上仅有零位移边界条件(对应力边界条件没限制),文[1]得出了弹塑性问题应力场的重要结论。通过引入一与所研究问题的塑性区几何形状相同,并且有相同边值条件形式的弹性体并利用弹性解的唯一性定理,从一新角度进一步论证了文[1]的结论。When boundary conditions are as follows:they are all stress ones,or contain displacement boundary condition but only contain zero-displacement boundary condition on the plastic region' boundary (with no limitation on stress boundary condition), Reference [1] obtained important conclusion of elastoplastic stress field.By introducing an elastic body that has the same geometric shape and boundary condition as those of the plastic area of the problem under consideration and making use of the uniqueness theorem of elastic solution,the conclusion of Reference[1] was proved again in this paper.

关 键 词：塑性力学 应力场 弹塑性 弹性解唯一性定理 

分 类 号：O344[理学—固体力学]