基于双剪屈服准则的空心旋转圆盘弹塑性分析  

Elastic-plastic stress distribution of rotating annular disc based on twin-shear stress yield criterion

作　　者：蔡全[1] 庞苗[2] 张永强[1] 刘欣[1] 

机构地区：[1]浙江大学航空航天学院,浙江杭州310027 [2]浙江大学建筑工程学院,浙江杭州310058

出　　处：《浙江大学学报（工学版）》2008年第9期1540-1544,共5页Journal of Zhejiang University：Engineering Science

基　　金：国家自然科学基金资助项目(10572128)

摘　　要：为了分析空心旋转圆盘的弹塑性应力分布机理,采用双剪应力屈服准则对理想弹塑性材料、等厚度空心旋转圆盘进行了弹塑性应力分析.结果表明,空心旋转圆盘的径向应力随着弹塑性转速的增大而增加,随后却随着转速的进一步增大而减小;而环向应力随着弹塑性转速的增大一直趋于增加;塑性极限转速随着空心旋转圆盘的内外径比值的增大而减小.由于双剪应力屈服准则与Tresca屈服准则的屈服轨迹分别对应屈服轨迹的上限和下限,在结构设计中,基于双剪应力屈服准则的设计,能够充分发挥材料的潜能,而基于Tresca准则的设计则趋向于保守.The twin-shear stress yield criterion was used to analyze the elastic-plastic stress distribution mechanism of the rotating annular disc of perfect elastic-plastic material with uniform thickness. It is indicted that the radial stress of the rotating annular disc increases first as the elastic-plastic rotating velocity increases, and then decreases as the disc rotating velocity increases further, while the tangential stress always increases as the elastic-plastic rotating velocity increases. Limit plastic rotating velocity decreases as the ratio of the inner to outer diameter of the rotating annular disc increases. As the twin-shear stress yield criterion and the Tresca yield criterion are the upper and lower limit of the yield locus respectively, the structural design based on the twin-shear stress yield criterion can dig the potential bearing capacity of materials, while the design based on the Tresca yield criterion is conservative.

关 键 词：双剪应力屈服准则 空心旋转圆盘 应力分布 

分 类 号：TB122[理学—工程力学]