修正的Hill48屈服模型构建及验证  

Construction and validation of modified Hill48 yield model

作　　者：赵军[1] 穆振凯 张玉[1] 付朋承 王伟 张双杰[2,3] ZHAO Jun;MU Zhen-kai;ZHANG Yu;FU Peng-cheng;WANG Wei;ZHANG Shuang-jie(Key Laboratory of Advanced Forging&Stamping Technology and Science,Ministry of Education of China,Yanshan University,Qinghuangdao 066004,China;College of Materials Science and Engineering,Hebei University of Science and Technology,Shijiazhuang 050018,China;Hebei Automobile Stamping Die Industry Technology Research Institute,Botou 062150,China)

机构地区：[1]燕山大学先进锻压成形技术与科学教育部重点实验室,河北秦皇岛066004 [2]河北科技大学材料科学与工程学院,河北石家庄050018 [3]河北省汽车冲压模具产业技术研究院,河北泊头062150

出　　处：《塑性工程学报》2022年第10期43-54,共12页Journal of Plasticity Engineering

基　　金：国家自然科学基金资助项目(51975509)。

摘　　要：为了提高金属薄板各向异性行为的预测精度,在分析原始Hill48屈服方程内在关系的基础上,将应力主轴方位角引入各向异性参数,建立了适用于平面应力状态的Hill48修正模型。通过构造修正系数来修正单向加载应力和双向对称应力,通过从单向加载应力到双向对称应力的线性插值来描述双向非对称应力状态。结果表明,修正模型仍然保持了简单的二次函数形式,并可在关联流动准则下应用,其各向异性参数求解方程为显式方程,可由实验数据直接确定。以低碳钢和高强钢为研究对象,分别进行了单向拉伸和双向拉伸实验,所得材料性能数据分别用于修正模型的初始屈服和后继屈服预测验证。结果表明,修正模型不仅能同时预测单向拉伸屈服应力、r值和双向拉伸塑性功轮廓,且能够较好地描述塑性功轮廓在后继屈服中的演化。To improve the prediction accuracy of anisotropic behavior for sheet metal,based on the analysis of the internal relationship of original Hill48 yield equation,the azimuth of stress principal axis was introduced into the anisotropic parameters,and a modified Hill48 yield model suitable for plane stress state was established.The uniaxial loading stress and biaxial symmetric stress were modified by constructing correction coefficients,and the biaxial asymmetric stress state was described by linear interpolation from uniaxial loading to biaxial symmetric stress.The results show that the modified model still maintains a simple quadratic function form and can be applied under the associated flow rule.The solution equations of its anisotropic parameters are a set of explicit equations,which can be solved directly by the experimental data.Taking the low-carbon steel and high-strength steel as research objects,the uniaxial tensile and biaxial tensile experiments were carried out,respectively.The obtained material performance data was used for the prediction verification of the modified model for initial yield and subsequent yield.The results show that the modified model delivers a good prediction of uniaxial tensile yield stress,r value and biaxial tensile plastic work contour,which can also describe the evolution of the plastic work contours at the subsequent yield.

关 键 词：屈服准则 各向异性 塑性功轮廓 后继屈服 各向异性参数 

分 类 号：TG301[金属学及工艺—金属压力加工]