钛合金电致塑性本构方程及多物理场耦合分析

doi:10.3901/JME.2024.09.421

机械工程学报 ›› 2024, Vol. 60 ›› Issue (9): 421-433.doi: 10.3901/JME.2024.09.421

扫码分享

钛合金电致塑性本构方程及多物理场耦合分析

韩建超^1,2,3, 张孟非^1,2,4, 王斌⁴, 国生辉^1,2, 贾燚^1,2, 王涛^1,2

1. 太原理工大学机械与运载工程学院太原 030024;
2. 太原理工大学先进金属复合材料成形技术与装备教育部工程研究中心太原 030024;
3. 海安太原理工先进制造与智能装备产业研究院海安 226600;
4. 北京星航机电装备有限公司北京 100074

收稿日期:2023-05-09 修回日期:2023-11-18 出版日期:2024-05-05 发布日期:2024-06-18
作者简介:韩建超，男， 1989 年出生，博士，副教授，博士研究生导师。主要研究方向为金属塑性变形、金属复合板轧制变形。E-mail： hanjianchao@tyut.edu.cn;王涛(通信作者)，男， 1985 年出生，博士，教授，博士研究生导师。主要研究方向为金属塑性成形、轧制工艺与装备。E-mail： twang@tyut.edu.cn
基金资助:
国家自然科学基金(52275362，51904205)、山西省基础研究计划优秀青年培育(202203021224003)和中央引导地方科技发展资金(YDZJSX2021A020,YDZX20191400002149)资助项目。

Analysis of Electroplastic Constitutive Equation and Multi-physical Field Coupling of Titanium Alloy

HAN Jianchao^1,2,3, ZHANG Mengfei^1,2,4, WANG Bin⁴, GUO Shenghui^1,2, JIA Yi^1,2, WANG Tao^1,2

1. College of Mechanical and Vehicle Engineering, Taiyuan University of Technology, Taiyuan 030024;
2. Engineering Research Center of Advanced Metal Composites Forming Technology and Equipment, Ministry of Education, Taiyuan University of Technology, Taiyuan 030024;
3. Hai’an Industry Institute of Advanced Manufacturing and Intelligent Equipment, Taiyuan University of Technology, Hai’an 226600;
4. Beijing Xinghang Electro-mechanical Co., Ltd., Beijing 100074

Received:2023-05-09 Revised:2023-11-18 Online:2024-05-05 Published:2024-06-18

摘要/Abstract

摘要： 脉冲电流激发的电致塑性效应能够显著提高钛合金的成形能力，而电塑性效应是融合“电-热-结构”多物理场综合作用的结果，构建电辅助有限元模型对于分析其塑性变形行为及优化成形工艺参数具有重要意义。以Ti-6Al-4V合金为研究对象进行不同电流密度、温度及应变速率下的电辅助拉伸试验；基于Johnson-Cook模型建立一个考虑热效应与非热效应的本构模型，其相关系数R²均高于0.95，平均相对误差低于2%；基于此模型对电脉冲辅助拉伸过程中物理场进行有限元分析，当电流密度为4.19 A/mm2时，随着试样拉伸至颈缩，电流密度相较于初始值升高21.96%，导致标距段内温度梯度明显增大，温差由68.69℃增至95.52℃，与同温度350℃高温试验相比，在应变场上表现为整体均匀程度降低，由于非热效应的作用峰值应力降低了49 MPa，模型预测的应力-应变结果与试验数据相比呈现较高的拟合精度，为进一步研究电辅助成形工艺及电致塑性机理提供了理论方法。

关键词: 钛合金, 电致塑性效应, 电辅助本构方程, 多物理场耦合建模

Abstract: The electroplastic effect stimulated by pulse current can significantly improve the forming ability of titanium alloys. However, the electroplastic effect is the result of the comprehensive action of “electric-thermal-structural” multi-physical fields, and the construction of an electrically assisted finite element model is of great significance for analyzing the plastic deformation behavior and optimizing the forming process parameters. Conducting electric pulse-assisted stretching experiments on Ti-6Al-4V alloy under different current densities, temperatures, and strain rates. Based on the Johnson-Cook model, a constitutive model considering the thermal and athermal effects is established, with the correlation coefficient R² higher than 0.95 and the average relative error lower than 2%. Based on this model, the finite element method analyzes the physical field in the process of electric pulse-assisted stretching. When the current density is 4.19 A/mm2, the current density increased by 21.96% compared with the initial value as the specimen stretched to necking, which led to an obvious increase in the temperature gradient in the gauge section, and the temperature difference increased from 68.69 ℃ to 95.52 ℃ . Compared with the high-temperature test at the same temperature of 350 ℃, the overall uniformity in the strain field is reduced, and the peak stress is reduced by 49 MPa due to the athermal effect. The stress-strain results predicted by the model show a high fitting accuracy compared to the experimental data. It provides a theoretical method for further study of the electro-assisted forming process and electroplastic effect mechanism.

Key words: titanium alloy, electroplastic effect, electrically assisted constitutive equation, multi-physical field coupling modeling

中图分类号:

TG156

韩建超, 张孟非, 王斌, 国生辉, 贾燚, 王涛. 钛合金电致塑性本构方程及多物理场耦合分析[J]. 机械工程学报, 2024, 60(9): 421-433.

HAN Jianchao, ZHANG Mengfei, WANG Bin, GUO Shenghui, JIA Yi, WANG Tao. Analysis of Electroplastic Constitutive Equation and Multi-physical Field Coupling of Titanium Alloy[J]. Journal of Mechanical Engineering, 2024, 60(9): 421-433.

参考文献

[1] PETERS M，KUMPFERT J，WARD C H，et al. Titanium alloys for aerospace applications[J]. Advanced Engineering Materials，2003，5(6)：419-427.
[2] GURRAPPA I. Characterization of titanium alloy Ti-6Al-4V for chemical，marine and industrial applications[J]. Materials Characterization，2003，51(2-3)：131-139.
[3] GAO Pengfei，FU Mingwang，ZHAN Mei，et al. Deformation behavior and microstructure evolution of titanium alloys with lamellar microstructure in hot working process：A review[J]. Journal of Materials Science & Technology，2020，39：56-73.
[4] 韩建超，姚昊明，贾燚，等. 新型三相TiAl合金高温塑性变形行为及流动软化研究[J]. 机械工程学报，2022，58(16)：77-88. HAN Jianchao，YAO Haoming，JIA Yi，et al. Studying on high temperature plastic deformation behavior and flow softening of novel multiphase TiAl Alloy[J]. Journal of Mechanical Engineering，2022，58(16)：77-88.
[5] SONG Hui，WANG Zhongjin，GAO Tiejun. Effect of high density electropulsing treatment on formability of TC4 titanium alloy sheet[J]. Transactions of Nonferrous Metals Society of China，2007，17(1)：87-92.
[6] TROITSKIY O A，STASHENKO V I. Electroplastic wire drawing：A promising method of production of lightweight wire and cable[J]. Journal of Machinery Manufacture and Reliability，2015，44：758-765.
[7] 任忠凯，郭雄伟，李宁，等. 脉冲电流对TA1/304复合板结合性能的改性机制研究[J]. 机械工程学报，2022，58(6)：62-72. REN Zhongkai，GUO Xiongwei，LI Ning，et al. Study on the modification mechanism of pulse current on the bonding properties of TA1/304 composite plate[J]. Journal of Mechanical Engineering，2022，58(6)：62-72.
[8] XIE Huanyang，DONG Xianghui，AI Zhenqiu，et al. Experimental investigation on electrically assisted cylindrical deep drawing of AZ31B magnesium alloy sheet[J]. The International Journal of Advanced Manufacturing Technology，2016，86(1)：1063-1069.
[9] 李超，张凯锋，蒋少松. 轻合金板材超塑成形中的脉冲电流加热方法及其宏微观分析[J]. 机械工程学报，2011，47(18)：43-49. LI Chao，ZHANG Kaifeng，JIANG Shaosong. Pulse current heating method for light alloy superplastic forming and macroscopic and microscopic effects analysis[J]. Journal of Mechanical Engineering，2011，47(18)：43-49.
[10] JIANG Bo，YANG Wenbing，ZHANG Ziyang，et al. Numerical simulation and experiment of electrically-assisted incremental forming of thin TC4 titanium alloy sheet[J]. Materials，2020，13(6)：1-8.
[11] WANG Xinwei，XU Jie，DING Minghan，et al. Finite-elements modeling and simulation of electrically-assisted rotary-draw bending process for 6063 aluminum alloy micro-tube[J]. Metals，2021，11(12)：1-13.
[12] 张宁，张艳苓，毕静，等. 1420 铝锂合金电致超塑性本构方程[J]. 锻压技术，2015，40(5)：63-68. ZHANG Ning，ZHANG Yangling，BI Jing，et al. Constitutive equation of electro-superplastic for 1420 Al-Li alloy[J]. Forging & Stamping Technology，2015，40(5)：63-68.
[13] SALANDRO W A，BUNGET C J，MEARS L. A thermal-based approach for determining electroplastic characteristics[J]. Proceedings of the Institution of Mechanical Engineers，Part B：Journal of Engineering Manufacture，2012，226(5)：775-788.
[14] 杜引，赵亦希，于忠奇，等. 2060-T8 铝锂合金电致塑性本构方程[J]. 塑性工程学报，2017，24(1)：133-139. DU Yin，ZHAO Yixi，YU Zhongqi，et al. Constitutive equation of electroplastic effect for 2060-T8 Al-Li alloy[J]. Journal of Plasticity Engineering，2017，24(1)：133-139.
[15] JI Hongchao，PENG Zhanshuo，HUANG Xiaomin，et al. Characterization of the microstructures and dynamic recrystallization behavior of Ti-6Al-4V titanium alloy through experiments and simulations[J]. Journal of Materials Engineering and Performance，2021，23：1-19.
[16] WU Yanquan，ZHANG Chunbo，ZHOU Jun，et al. Analysis of the microstructure and mechanical properties during inertia friction welding of the near-α TA19 titanium alloy[J]. Chinese Journal of Mechanical Engineering，2020，33(1)：1-13.
[17] LI Minghao，ZHANG Bao，CHEN Guoqing，et al. Temperature dependence of electroplastic effect on reducing the ultimate stress in Ti–6Al–2Zr–1Mo–1V alloy during tension[J]. Materials Science and Engineering：A，2023，863：144545.
[18] WANG Shouren，SONG Linghui，KANG S，et al. Deformation behavior and microstructure evolution of wrought magnesium alloys[J]. Chinese Journal of Mechanical Engineering，2013，26(3)：437-447.
[19] WU Chuan，ZHOU Yujie，LIU Bin. Experimental and simulated investigation of the deformation behavior and microstructural evolution of Ti6554 titanium alloy during an electropulsing-assisted microtension process[J]. Materials Science and Engineering：A，2022，838：142745.
[20] FAN Rong，MAGARGEE J，HU Ping，et al. Influence of grain size and grain boundaries on the thermal and mechanical behavior of 70/30 brass under electrically-assisted deformation[J]. Materials Science and Engineering：A，2013，574：218-225.
[21] CHEN Guang，KE Zhihong，REN Chengzu，et al. Constitutive modeling for Ti-6Al-4V alloy machining based on the SHPB tests and simulation[J]. Chinese Journal of Mechanical Engineering，2016，29(5)：962-970.
[22] SHEIKH-AHMAD J Y，BAILEY J A. A constitutive model for commercially pure titanium[J]. Journal of Engineering Materials and Technology，1995，117(2)：139-144.
[23] MAGARGEE J，FAN Rong，CAO Jian. Analysis and observations of current density sensitivity and thermally activated mechanical behavior in electrically-assisted deformation[J]. Journal of Manufacturing Science and Engineering，2013，135(6)：061022.
[24] PARK E T，LEE B E，KANG D S，et al. Analytical prediction of flow stress on aluminum alloy /self-reinforced polypropylene laminated sheet material considering temperature-dependent material constants[J]. International Journal of Precision Engineering and Manufacturing，2016，17：487-493.
[25] PENG Wenwen，ZENG Weidong，WANG Qingjiang，et al. Comparative study on constitutive relationship of as-cast Ti60 titanium alloy during hot deformation based on Arrhenius-type and artificial neural network models[J]. Materials & Design，2013，51：95-104.
[26] YUAN Kangbo，YAO Xiaohu，YU Yongqi，et al. Dynamic thermomechanical response and constitutive modeling of eutectic high-entropy alloy[J]. International Journal of Mechanical Sciences，2023，246：108148.
[27] SEMIATIN S L，BIELER T R. The effect of alpha platelet thickness on plastic flow during hot working of Ti–6Al–4V with a transformed microstructure[J]. Acta Materialia，2001，49(17)：3565-3573.
[28] TSKHONDIYA G A. Modeling the effect of multiple pulse treatment on deformation processing[C]//Journal of Physics：Conference Series. Cambridge：IOP Publishing，2009，181(1)：012034.
[29] 彭书华. 电致塑性效应本构方程的研究[J]. 塑性工程学报，2018，25(2)：202-206. PENG Shuhua. Study on constitutive equation of electroplastic[J]. Journal of Plasticity Engineering，2018，25(2)：202-206.
[30] TSKHONDIYA G A，BEKLEMISHEV N N. Simulating the effect of a high density electric current pulse on the stress field during plastic deformation[J]. International journal of material forming，2012，5：157-162.
[31] RUDOLF C，GOSWAMI R，KANG W，et al. Effects of electric current on the plastic deformation behavior of pure copper，iron，and titanium[J]. Acta Materialia，2021，209：116776.
[32] LIU S，KOUADRI-HENNI A，GAVRUS A. Numerical simulation and experimental investigation on the residual stresses in a laser beam welded dual phase DP600 steel plate：Thermo-mechanical material plasticity model[J]. International Journal of Mechanical Sciences，2017，122：235-243.
[33] SUNG J H，KIM J H，WAGONER R H. A plastic constitutive equation incorporating strain，strain-rate，and temperature[J]. International Journal of Plasticity，2010，26(12)：1746-1771.
[34] TRIMBLE D，SHIPLEY H，LEA L，et al. Constitutive analysis of biomedical grade Co-27Cr-5Mo alloy at high strain rates[J]. Materials Science and Engineering：A，2017，682：466-474.
[35] HE An，XIE Ganlin，ZHANG Hailong，et al. A comparative study on Johnson-Cook，modified Johnson-Cook and Arrhenius-type constitutive models to predict the high temperature flow stress in 20CrMo alloy steel[J]. Materials & Design，2013，52：677-685.
[36] 颜鸣皋. 中国航空材料手册(第四卷)[M]. 北京：中国标准出版社，2001. YAN Minggao. China aviation materials manual，vol. 4[M]. Beijing：China Standards Press，2001.
[37] YAN Lan，JIANG Anna，LI Yaning，et al. Dynamic constitutive models of Ti-6Al-4V based on isothermal ture stress-strain curves[J]. Journal of Materials Research and Technology，2022，19：4733-4744.
[38] DONG Guojiang，ZHAO Changcai，PENG Yaxin，et al. Hot granules medium pressure forming process of AA7075 conical parts[J]. Chinese Journal of Mechanical Engineering，2015，28(3)：580-591.

钛合金电致塑性本构方程及多物理场耦合分析

Analysis of Electroplastic Constitutive Equation and Multi-physical Field Coupling of Titanium Alloy

PDF

可视化

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 15

编辑推荐

Metrics

本文评价

[1]	苏志朋, 梁志强, 李娟, 王飞, 魏正义, 刘月红, 金惟薇, 马悦, 殷振, 王西彬. 钛合金微槽超声螺线辅助铣磨加工试验研究[J]. 机械工程学报, 2024, 60(9): 5-12.
[2]	武韩强, 陈卓, 叶曦珉, 张诗博, 李偲偲, 曾江, 汪强, 吴勇波. 钛合金超声辅助等离子体氧化改性磨削基本加工特性研究[J]. 机械工程学报, 2024, 60(9): 13-25.
[3]	周京国, 张宇航, 隋天一, 行登海, 董宝昆, 付清宇, 付俊帆, 林彬. 分离-接触特征对钛合金超声振动辅助铣削加工特性影响规律研究[J]. 机械工程学报, 2024, 60(9): 97-113.
[4]	郑开魁, 赵信哲, 牟刚, 任志英. 超声波滚压强化TC11钛合金的表面质量与摩擦磨损性能[J]. 机械工程学报, 2024, 60(9): 137-151.
[5]	肖贵坚, 刘振扬, 贺毅, 刘岗, 邓忠才. 激光辅助CBN砂带磨削TC4钛合金材料去除行为及表面完整性研究[J]. 机械工程学报, 2024, 60(9): 241-253.
[6]	魏荣, 徐默然, 李常平, 李树健, 李鹏南. 电火花辅助铣削钛合金多能场建模及调控优化研究[J]. 机械工程学报, 2024, 60(9): 393-409.
[7]	张禹森, 陈雷, 刘胜杰, 胡峻华, 张启飞, 崔明亮, 胡建良, 金淼. TB6钛合金模锻件低倍组织局部粗晶形成机理及预测[J]. 机械工程学报, 2024, 60(8): 121-131.
[8]	杜随更, 刘冠翔, 陈虎, 胡弘毅, 李菊. TC17(α+β)/TC17(β)线性摩擦焊接过程中焊合区组织及其织构演变[J]. 机械工程学报, 2024, 60(2): 99-106.
[9]	施壮, 李长河, 刘德伟, 张彦彬, 秦爱国, 曹华军, 陈云. 不等螺旋角立铣刀瞬时铣削力模型与验证[J]. 机械工程学报, 2024, 60(15): 393-406.
[10]	赵宇辉, 赵吉宾, 李明玥, 何振丰, 王志国, 贺晨. 激光熔化沉积TC4钛合金电涡流检测仿真及亚表面缺陷检测[J]. 机械工程学报, 2024, 60(14): 34-41.
[11]	贺毅, 肖贵坚, 朱升旺, 刘岗, 黄云. 皮秒激光辅助砂带磨削TC17钛合金材料去除行为研究[J]. 机械工程学报, 2023, 59(9): 360-372.
[12]	张国栋, 张鹏, 高健时, 余槐, 袁鸿, 丁宁, 熊华平. 电子束熔丝增材制造TC11钛合金组织及力学性能[J]. 机械工程学报, 2023, 59(4): 105-112.
[13]	刘明政, 李长河, 张彦彬, 杨敏, 崔歆, 李本凯, 高腾, 王大中, 安庆龙. 低温冷风微量润滑磨削钛合金换热机理与对流换热系数模型[J]. 机械工程学报, 2023, 59(23): 343-357.
[14]	于培师, 赵宇翔, 吴连生, 卞家坤, 赵军华, 郭万林. TC4ELI钛合金疲劳裂纹路径偏折与寿命提升机制[J]. 机械工程学报, 2023, 59(16): 72-81.
[15]	徐伟伟, 高川云, 张道洋, 陶常安, 成靖, 冉先喆, 汤海波, 刘栋. 不同热处理对激光定向能量沉积技术+锻造复合制造TC4钛合金组织与力学性能研究[J]. 机械工程学报, 2023, 59(15): 304-310.