基于Johnson-Cook模型构建M50NiL齿轮钢的流变应力本构方程
Flow Stress Constitutive Equation of M50NiL Gear Steel Based on Johnson-Cook Model
摘 要
利用Gleeble-3500型热模拟试验机, 研究了M50NiL齿轮钢在变形温度为1 123.15 ～1 423.15 K、应变速率为0.005~10 s-1条件下的变形行为, 并对实测流变曲线进行了摩擦修正; 基于应变速率和变形温度对金属高温变形的耦合效应, 建立了基于Johnson-Cook(J-C)模型的耦合流变应力本构方程并进行了验证。结果表明: 对试验钢流变曲线摩擦修正后, 得到的流变应力比实测值小; 经变形参数耦合修正后的J-C耦合本构方程计算得到的流变应力与摩擦修正后流变应力的平均相对误差为3.08%, 其预测精度高于传统J-C本构方程(平均相对误差为14.31%)的。
热变形
Johnson-Cook(J-C)模型
本构方程
friction-correction
thermal deformation
Johnson-Cook (J-C) model
constitutive equation
Abstract
The deformation behavior of M50NiL gear steel was investigated at the deformation temperatures of 1 123.15-1 423.15 K and strain rates of 0.005-10 s-1 by using Gleeble-3500 thermal simulator. The measured flow curves were friction-corrected. On account of the coupling effect of the strain rate and deformation temperature on the metal hot deformation, the coupling constitutive equation for flow stress prediction was established based on Johnson-Cook (J-C) model and verified. The results show that after the flow curve of the tested steel was friction-corrected, the obtained flow stresses were lower than the measured values. The average relative error between the calculated flow stress by the J-C equation after coupling correction with the deformation parameters and the friction-corrected flow stress was 3.08%, indicating the higher prediction accuracy than that of the traditional equation (the average relative error was 14.31%).
中图分类号 TG142 DOI 10.11973/jxgccl201611007
所属栏目 试验研究
基金项目 河北省钢铁联合基金资助项目(E2015209243)
收稿日期 2015/6/9
修改稿日期 2016/8/10
网络出版日期
作者单位点击查看
备注李红斌(1979-), 男, 河北邢台人, 讲师, 硕士。
引用该论文: LI Hong-bin,ZHENG Ming-yue,TIAN Wei,XU Shu-cheng,TIAN Ya-qiang. Flow Stress Constitutive Equation of M50NiL Gear Steel Based on Johnson-Cook Model[J]. Materials for mechancial engineering, 2016, 40(11): 31～37
李红斌,郑明月,田 伟,徐树成,田亚强. 基于Johnson-Cook模型构建M50NiL齿轮钢的流变应力本构方程[J]. 机械工程材料, 2016, 40(11): 31～37
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参考文献
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【5】SALEHI M S, SERAJZADEH S. A neural network model for prediction of static recrystallization kinetics under non-isothermalconditions［J］. Computational Materials Science, 2010, 49(4): 773-781.
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【8】李建光, 施琪, 曹结东.Johnson-Cook本构方程的参数标定 ［J］.兰州理工大学学报,2012,38(2): 164-167.
【9】EBRAHIMI R, NAJAFIZADEH A. A new method for evaluation of friction in bulk metalforming［J］. Journal of Materials Processing Technology, 2004, 152(2): 136-143.
【10】蔺永诚, 陈明松, 钟掘.42CrMo钢的热压缩流变应力行为［J］.中南大学学报, 2008,39(3): 549-553.
【2】苏新生,徐文帅,黄顺喆,等.40CrNi2MoE 钢的高温塑性变形特征［J］.机械工程材料,2015,39(6): 90-94.
【3】LAPOVOK R, LOADER C, DALLA TORRE F H, et al. Microstructure evolution and fatigue behavior of 2124 aluminum processed by ECAE with back pressure［J］. Materials Science and Engineering A, 2006, 425(1): 36-46.
【4】MIRZADEH H, NAJAFIZADEH A. Prediction of the critical conditions for initiation of dynamic recrystallization［J］. Materials & Design, 2010, 31(3): 1174-1179.
【5】SALEHI M S, SERAJZADEH S. A neural network model for prediction of static recrystallization kinetics under non-isothermalconditions［J］. Computational Materials Science, 2010, 49(4): 773-781.
【6】LIN Y C, CHEN X M, LIU G. A modified Johnson-Cook model for tensile behaviors of typical high-strength alloy steel［J］. Materials Science and Engineering A, 2010,527(26): 6980-6986.
【7】王宏凯, 马吉胜,房立清, 等. 涂层材料的J-C本构模型参数标定［J］. 火炮发射与控制学报, 2015,36(3): 64-67.
【8】李建光, 施琪, 曹结东.Johnson-Cook本构方程的参数标定 ［J］.兰州理工大学学报,2012,38(2): 164-167.
【9】EBRAHIMI R, NAJAFIZADEH A. A new method for evaluation of friction in bulk metalforming［J］. Journal of Materials Processing Technology, 2004, 152(2): 136-143.
【10】蔺永诚, 陈明松, 钟掘.42CrMo钢的热压缩流变应力行为［J］.中南大学学报, 2008,39(3): 549-553.
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