CLOSED-FORM SOLUTIONS FOR ELASTOPLASTIC PURE BENDING OF A CURVED BEAM WITH MATERIAL INHOMOGENEITY  

作　　者：Guojuan Nie Zheng Zhong 

机构地区：[1]School of Aerospace Engineering and Applied Mechanics, Tongji University

出　　处：《Acta Mechanica Solida Sinica》2014年第1期54-64,共11页固体力学学报（英文版）

基　　金：supported by the Disaster Prevention and Engineering Safety Laboratory in Guangxi and the National NaturalScience Foundation of China(Nos.11072177 and 10872150);the Scientific Research Foundation for the ReturnedOverseas Chinese Scholars,State Education Ministry

摘　　要：The elastoplastic pure bending problem of a curved beam with material inhomo- geneity is investigated based on Tresca＇s yield criterion and its associated flow rule. Suppose that the material is elastically isotropic, ideally elastic-plastic and its elastic modulus and yield limit vary radially according to exponential functions. Closed-form solutions to the stresses and radial displacement in both purely elastic stress state and partially plastic stress state are presented. Numerical examples reveal the distinct characteristics of elastoplastic bending of a curved beam composed of inhomogeneous materials. Due to the inhomogeneity of materials, the bearing capac- ity of the curved beam can be improved greatly and the initial yield mode can also be dominated. Closed-form solutions presented here can serve as benchmark results for evaluating numerical solutions.The elastoplastic pure bending problem of a curved beam with material inhomo- geneity is investigated based on Tresca＇s yield criterion and its associated flow rule. Suppose that the material is elastically isotropic, ideally elastic-plastic and its elastic modulus and yield limit vary radially according to exponential functions. Closed-form solutions to the stresses and radial displacement in both purely elastic stress state and partially plastic stress state are presented. Numerical examples reveal the distinct characteristics of elastoplastic bending of a curved beam composed of inhomogeneous materials. Due to the inhomogeneity of materials, the bearing capac- ity of the curved beam can be improved greatly and the initial yield mode can also be dominated. Closed-form solutions presented here can serve as benchmark results for evaluating numerical solutions.

关 键 词：elastoplastic pure bending curved beam inhomogeneous materials closed-form solutions 

分 类 号：O343[理学—固体力学]