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一种新的弹塑性杂交应力元法
引用本文:丁沛然,陈万吉.一种新的弹塑性杂交应力元法[J].固体力学学报,1993,14(2):137-146.
作者姓名:丁沛然  陈万吉
作者单位:中国第一汽车集团电算处,大连理工大学 长春 130011,116024
基金项目:高等学校博士学科点专项科研基金
摘    要:本文基于一个改进的弹塑性的Hellinger/Reis■ner 混合变分原理构造了一种用于解弹塑性问题的四节点等参杂交应力元.新的模型中,在单元内增加了等效应力增量、塑性等效应变增量及不协调位移变量,从而使单元内的屈服准则及流动法则平均得到满足,不协调位移改进了单元应力精度.计算表明,新的模型可以提高弹塑性杂交法的精度和计算效率.

关 键 词:弹塑性  杂交应力元  等效应力

A NEW HYBRID STRESS ELEMENT METHOD FOR THE ANALYSIS OF ELASTOPLASTIC SOLIDS
Ding Peiran.A NEW HYBRID STRESS ELEMENT METHOD FOR THE ANALYSIS OF ELASTOPLASTIC SOLIDS[J].Acta Mechnica Solida Sinica,1993,14(2):137-146.
Authors:Ding Peiran
Abstract:Based on a modified Hellinger/Rcissner veriational principle which includes the equivalent stressequivalent plastic strain and non-conforming displacement increments as independent variables,a quadri-lateral isoparametric hybrid stress element for the analysis of elastoplastic problem is proposed.By thisformulation,the yield criterion and flow rule are satisfied in an average sense and higher accuracy can beobtained by using non-conforming displacement.A numerical example is presented to show that the pres-ent model has high accuracy and computational effectiveness.
Keywords:elastoplastic  hybrid stress element  equivalent stress  equivalent plastic strain  non-conforming displacement  
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