基于D-P准则的理想弹塑性材料本构关系积分的渐近解析解——子增量法  

SUB-INCREMENTAL METHOD FOR PERFECT ELASTO-PLASTIC MATERIAL BASED ON D-P YIELD CRITERIA

作　　者：陈新[1] 杨强[1] 黄岩松[1] 陈欣[1] 

机构地区：[1]清华大学水利水电工程系,北京100084

出　　处：《岩石力学与工程学报》2002年第A02期2465-2469,共5页Chinese Journal of Rock Mechanics and Engineering

基　　金：国家自然科学基金(59879005);清华大学基础研究基金(JC2000007)资助项目

摘　　要：对基于D-P准则的弹塑性有限元增量计算的有效算法(增量法)进行了改进。当应变增量较大时,采用子增量法,构造了弹塑性本构关系积分的渐近解析解。证明了在径向加载的情况下,增量法就是精确解:根据对增量法的误差分析,提出了子增量法步数的计算方法。Based on a practical elasto-plastic incremental FEM for D-P yield criteria proposed, a sub- incrementing scheme is applied to reduce errors in final stress state for large strain increments. A sub-incremental method is proposed as an asymptotic explicit solution for integral of rate form constitutive relation. It has been shown that incremental method is accurate solution for radial loading. A method to determine the required minimum number of sub-increments is also recommended.

关 键 词：弹塑性力学 增量法 子增量法 径向加载 

分 类 号：O344.3[理学—固体力学] TU452[理学—力学]