双τ^2屈服准则在受压平板圆孔问题中的应用  

Application of twin τ^2 shear yield criterion in plate round hole issue

作　　者：陈四利[1] 孙秀丽[1] 周辉[2] 杨凤[1] 

机构地区：[1]沈阳工业大学建筑工程学院,沈阳110023 [2]中国科学院武汉岩土力学研究所重点实验室,武汉430071

出　　处：《沈阳工业大学学报》2006年第2期174-177,共4页Journal of Shenyang University of Technology

基　　金：国家自然科学基金资助项目(50204009)

摘　　要：材料的屈服准则是塑性力学研究的重要理论基础,现广泛应用的屈服准则有Mises屈服准则、Tresca屈服准则以及俞茂宏双剪应力屈服准则等.根据这些屈服准则推导出了双τ2屈服准则理论,成功地求解了受压平板圆孔问题,推导出了受压平板圆孔的塑性区范围以及极限值.并与Mises屈服准则和Tresca屈服准则和俞茂宏双剪屈服准则的计算结果进行了比较.分析表明,双τ2屈服准则的理论预测位于Mises屈服准则和俞茂宏双剪屈服准则之间,结果令人满意.Yield criterion is an important theoretical foundation of plastic mechanics. There are von Mises yield criterion, Tresca yield criterion and Yu Maohong twin shear yield criterion used extensively now. Based on these yield criteria twin, the τ^2 shear yield criterion theory was derived out. It succeeds in solving the pressed plate form round hole issue. The plastic area range and extreme of the pressed plate form round hole were given, and compared with the results of Mises yield criterion, Tresca yield criterion and Yu Maohong twin stress yield criterion. It indicates that the theoretical prediction based on the twin τ^2 shear yield criterion is between Mises yield criterion and Yu Maohong twin Rear yield criterion, and is satisfactory.

关 键 词：屈服准则 剪应力 平板圆孔 塑性区 极限值 

分 类 号：TG142.73[一般工业技术—材料科学与工程] TG172.82[金属学及工艺—金属材料]