Analysis of plane strain bending of a strain hardening curved beam based on unified yield criterion  

统一屈服准则下应变硬化曲梁的平面应变弯曲分析（英文）

作　　者：傅军[1] 庞苗[2] 宋广远 张永强[2] 杨博[1] 

机构地区：[1]浙江理工大学建筑工程学院,杭州310018 [2]浙江大学建筑工程学院,杭州310058

出　　处：《Journal of Southeast University(English Edition)》2016年第3期339-345,共7页东南大学学报（英文版）

基　　金：The Project of the Ministry of Housing and Urban-Rural Development(No.2014-K4-010)

摘　　要：The analysis of plane strain elastic-plastic bending of a linear strain hardening curved beam with a narrow rectangular cross section subjected to couples at its end is conducted based on a unified yield criterion. The solutions for the mechanical properties of plane strain bending are derived, which are adapted for various kinds of non-strength differential materials and can be degenerated to those based on the Tresca, von Mises, and twin-shear yield criteria. The dependences of the two critical bending moments, the radii of the interfaces between the elastic and plastic regions and the radial displacements of the points at the symmetrical plane on different yield criteria and Poisson’s ratios are discussed. The results show that the influences of different yield criteria and Poisson’s ratio on the two critical bending moments, the radii of the interfaces between the elastic and plastic regions and the radial displacements of the points at the symmetrical plane of the curved beam are significant. Once the value of bis obtained by experiments, the yield criterion and the corresponding solution for the materials of interest are then determined.在统一屈服准则的基础上,研究了两端力偶作用下具有窄矩形截面线性应变硬化曲梁的平面应变弹塑性弯曲问题.获得的平面应变弯曲解答适用于各类非强度差材料,并可以退化到基于Tresca,von Mises和广义双剪屈服(TS)准则的解答.讨论了2个临界弯矩、弹塑性区界面的半径及对称面上点的径向位移与不同屈服准则和泊松比之间的相关性.结果表明,不同屈服准则和泊松比对曲梁的2个临界弯矩、弹塑性区界面的半径及对称面上点的径向位移有显著的影响.当材料的参数b通过实验得到后,便可确定对应的屈服准则及相应解答.

关 键 词：curved beam plane strain strain hardening elastic-plastic bending unified yield criterion 

分 类 号：O343[理学—固体力学]