New discrete element models for elastoplastic problems

查看全文 作　　者：Ming Cheng Weifu Liu Kaixin Liu LTCS and Department of Mechanics and Aerospace Engineering,College of Engineering, Peking University, 100871 Beijing, China

出　　处：《Acta Mechanica Sinica》索引2009年第25卷第5期,共9页

基　　金：supported by the National Natural Science Foundation of China (10572002 and 10732010) 摘　　要：The discrete element method (DEM) has attractivefeatures for problems with severe damages, but lack oftheoretical basis for continua behavior especially for nonlinearbehavior has seriously restricted its application.The present study proposes a new approach to developingthe DEM as a general and robust technique for modeling theelastoplastic behavior of solid materials. New types of connectivelinks between elements are proposed, the inter-elementparameters are theoretically determined based onthe principle of energy equivalence and a yield criterion anda flow rule for DEM are given for describing nonlinear behaviorof materials. Moreover, a numerical scheme, which canbe applied to modeling the behavior of a continuum as wellas the transformation from a continuum to a discontinuum,is obtained by introducing a fracture criterion and a contactmodel into the DEM. The elastoplastic stress wave propagationsand the tensile failure process of a steel plate aresimulated, and the numerical results agree well with thoseobtained from the finite element method (FEM) and correspondingexperiment, and thus the accuracy and efficiencyof the DEM scheme are demonstrated. 关键词：弹塑性问题离散单元法元模型非线性行为固体材料塑性行为结缔组织数值方法

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New discrete element models for elastoplastic problems

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