基于三维Hill’48屈服准则的液压成形本构模型及数值验证

上海交通大学学报（自然版） ›› 2013, Vol. 47 ›› Issue (05): 791-794.

基于三维Hill’48屈服准则的液压成形本构模型及数值验证

卢健，陈军，张飞飞，陈劼实

（上海交通大学模具CAD国家工程研究中心，上海 200030）

收稿日期:2012-08-29 出版日期:2013-05-28 发布日期:2013-05-28
基金资助:
国家重大基础科研项目资助

Constitutive Model of Hydroforming and Its Numerical Validation Based on Three-Dimensional Hill’48 Yield Criterion

LU Jian,CHEN Jun,ZHANG Feifei,CHEN Jieshi

(National Engineering Research Center of Die and Mold CAD, Shanghai Jiaotong University, Shanghai 200030, China)

Received:2012-08-29 Online:2013-05-28 Published:2013-05-28

摘要/Abstract

摘要：

基于三维Hill’48屈服准则建立了内高压成形的力学模型，将半隐式向后Euler应力更新算法与显式有限元方法相结合，通过用户自定义子程序UMAT将本构模型嵌入有限元软件LS-DYNA中，通过单个单元的拉伸试验对其进行验证，并将本构模型应用于液压胀形过程的数值仿真模拟，与各向同性Mises屈服准则进行了对比分析.结果表明，二次开发的本构模型正确，能够较好地反映管材胀形的变形规律.

关键词: 内高压成形, 各向异性, 屈服准则, 有限元法

Abstract:

Based on the three-dimensional Hill’48 anisotropic yield criterion, a mechanical model was developed to describe hydroforming process, which combines the semi-implicit backward Euler stress integration method and the explicit finite element solving algorithm. The three-dimensional Hill’48 yield criterion was implemented in the commercial finite element software LS-DYNA by using user defined material models UMAT. This algorithm was validated by the tensile test of single element. Besides, it was applied to the numerical simulation of hydraulic bulging to analyze the difference between Hill’48 anisotropic yield criterion and Mises isotropic yield criterion. The numerical results show that the implemented constitutive model is proper and it can reveal the deformation rule of tube bulging reasonably.

Key words: hydroforming, anisotropy, yield criterion, finite element method

中图分类号:

TG 386

卢健，陈军，张飞飞，陈劼实. 基于三维Hill’48屈服准则的液压成形本构模型及数值验证[J]. 上海交通大学学报（自然版）, 2013, 47(05): 791-794.

LU Jian,CHEN Jun,ZHANG Feifei,CHEN Jieshi. Constitutive Model of Hydroforming and Its Numerical Validation Based on Three-Dimensional Hill’48 Yield Criterion[J]. Journal of Shanghai Jiaotong University, 2013, 47(05): 791-794.

参考文献

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