带弹性范围物质理论和背应力定义  

A Mathematical Theory of Materials with Elastic Range and the Definition of Back Stress Tensor

作　　者：陈良森[1,2] 赵兴华[1,2] 

机构地区：[1]南昌大学南区工程力学所 [2]上海大学上海市应用数学和力学所

出　　处：《应用数学和力学》1999年第5期452-460,共9页Applied Mathematics and Mechanics

摘　　要：在推广Ｌｕｃｃｈｅｓｉ和Ｐｏｄｉｏ＿Ｇｕｉｄｕｇｌｉ（１９８８）的带弹性范围物质理论的基础上，表明了背应力作为Ｃａｕｃｈｙ应力空间中屈服面“中心”的定义存在问题·背应力是Ｌａｇｒａｎｇｅ型变量。In this paper, the theory of materials with elastic range by Lucchesi and Podio_Guidugli(1988) has been generalized. It has also shown that there are some difficulties on the definition of back stress as the “center” of the yield surface in the Cauchy space. The back stress tensor is Lagrangian,and must be defined in the Lagrangian stress space.

关 键 词：背应力 屈服 随动强化 弹塑性物质理论 

分 类 号：O344.1[理学—固体力学]