Please wait a minute...
Acta Metall Sin  2026, Vol. 62 Issue (8): 1417-1426    DOI: 10.11900/0412.1961.2024.00214
Research paper Current Issue | Archive | Adv Search |
Texture Evolution and Deformation Modes for Zr-4 Alloy During Stamping: Experiments and Modeling
DENG Siying1, DONG Jiaxuan2, CHEN Shuaifeng1, SONG Hongwu1(), ZHANG Shihong1
1 Shi -changxu Innovation Center for Advanced Materials, Institute of Metal Research, Chinese Academy of Sciences, Shenyang 110016, China
2 College of Materials Science and Engineering, Shenyang Ligong University, Shenyang 110159, China
Cite this article: 

DENG Siying, DONG Jiaxuan, CHEN Shuaifeng, SONG Hongwu, ZHANG Shihong. Texture Evolution and Deformation Modes for Zr-4 Alloy During Stamping: Experiments and Modeling. Acta Metall Sin, 2026, 62(8): 1417-1426.

Download:  HTML  PDF(3350KB) 
Export:  BibTeX | EndNote (RIS)      
Abstract  

Zirconium alloy sheets exhibit limited formability at room temperature, often leading to cracking during the fabrication of spacer grids in nuclear reactors. This study presents stamping experiments conducted on Zr-4 sheets, with microstructure and texture characteristics measured at various positions along the longitudinal section using EBSD. The in-grain misorientation axes method was employed to analyze deformation mode selection. Supported by finite element method simulations, a visco-plastic self-consistent model was applied to quantify the activation of deformation modes and elucidate the relationship between texture evolution and slip/twin activity. In addition, the effects of strain paths on crack formation mechanisms were investigated. The results indicate that cracking primarily occurred around the punch radius. Positions near the punch radius followed a plane strain path, whereas regions along the slope wall and die radius exhibited a uniaxial tension path. Prismatic <a> slip was found to dominate deformation across all loading strain paths. Near the die radius, pyramidal <c + a> slip and tensile twinning were activated to accommodate stamping deformation, resulting in the formation of new texture components aligned along the rolling direction. The increase in basal texture strength around the punch radius was attributed to basal <a> slip, serving as a secondary dominant slip system. Furthermore, prismatic slip, in coordination with basal slip, facilitated the texture transition from a double-peak structure to a basal texture.

Key words:  zirconium alloy      stamping      strain path      texture evolution      crystal plasticity     
Received:  25 June 2024     
ZTFLH:  TG146.2  
Fund: National Natural Science Foundation of China(52105413);National Natural Science Foundation of China(52105412)
Corresponding Authors:  SONG Hongwu, associate professor, Tel: (024)83970203, E-mail: hwsong@imr.ac.cn

URL: 

https://www.ams.org.cn/EN/10.11900/0412.1961.2024.00214     OR     https://www.ams.org.cn/EN/Y2026/V62/I8/1417

Fig.1  EBSD results of initial Zr-4 alloy sheet after annealing (ND─normal direction, TD─transverse direction, RD─rolling direction; Fr, Ft, and Fn indicate Kearns factors along RD, TD, and ND, respectively; the color bar shows the texture strength, mud)
Fig.2  Schematics of experimental stamping tool (a) and tool geometry along longitudinal section (unit: mm) (b) (Rppunch fillet radius, Rddie radius)
Fig.3  Schematic of sample locations for EBSD measurement after stamping (Positions A, B, and C represent positions of die radius, slope wall, and punch radius, respectively)
Fig.4  Finite element model for Zr-4 alloy sheet
Directionσy / MPaσUTS / MPanr
RD406.98564.550.1074.74
DD418.08522.980.0856.51
TD432.09525.620.0726.27
Table1  Mechanical properties of Zr-4 alloy sheet under different loading directions[16]
Modeτ0 / MPaτ1 / MPaθ0θ1
Prismatic <a>1645840026
Basal <a>3425102
Pyramidal <c + a>36640012001
ETW450520030
Table2  Voce hardening model parameters in VPSC model [16]
Fig.5  Stamped component (a) and white light interference experimental results (b) for forming depth contour
Fig.6  IPFs (a-c), twin identification maps (d-f), and PFs (g-i) for Zr-4 alloy sheet after stamping with various locations along longitudinal section (fETW—area fraction of ETW) (a, d, g) position A (b, e, h) position B (c, f, i) position C
Fig.7  Comparisons of longitudinal cross-section thick-ness profile (a) and thickness distribution (b) of the Zr-4 stamped component between experi-mental and simulation results (Inset in Fig.7b shows the locations of the selected points)
Fig.8  Strain evolution (a) and strain states (b) at various typical locations during stamping (εxxnormal strain along x direction, εyynormal strain along y direction, εzznormal strain along z direction)
Fig.9  Strain path at each feature point obtained from Zr-4 stamped component along longitudinal section and distribution cloud chart of major principal strain (inset)
Fig.10  In-grain misorientation axes (IGMA) distribution analyses of different positions along longitudinal section of Zr-4 alloy sheet in Fig.6 (Die radius: grains G1-G3, slope wall: grains G4-G6, punch radius: grains G7-G9)
Fig.11  Comparisons between experimental texture (a, c, e) and visco-plastic self consistent (VPSC) model predicted results (b, d, f) (a, b) die radius (c, d) slope wall (e, f) punch radius
Fig.12  Slip/twinning system activity during stamping with VPSC prediction at different locations for die radius (a), slope wall (b), and punch radius (c)
[1] Han E H. Research trends on micro and nano-scale materials degradation in nuclear power plant [J]. Acta Metall. Sin., 2011, 47: 769
韩恩厚. 核电站关键材料在微纳米尺度上的环境损伤行为研究——进展与趋势 [J]. 金属学报, 2011, 47: 769
[2] Murty K L, Charit I. Texture development and anisotropic deformation of zircaloys [J]. Prog. Nucl. Energy, 2006, 48: 325
[3] Ren Q Y, Chen J, Zhao R R, et al. Mechanical performance of newly developed supporting structure of spacer grid [J]. At. Energy Sci. Technol., 2020, 54: 2411
任全耀, 陈 杰, 赵瑞瑞 等. 新型定位格架夹持结构的力学特性研究 [J]. 原子能科学技术, 2020, 54: 2411
[4] Akhtar A, Teghtsoonian A. Plastic deformation of zirconium single crystals [J]. Acta Metall., 1971, 19: 655
[5] McCabe R J, Cerreta E K, Misra A, et al. Effects of texture, temperature and strain on the deformation modes of zirconium [J]. Philos. Mag., 2006, 86A: 3595
[6] Akhtar A. Prismatic slip in zirconium single crystals at elevated temperatures [J]. Metall. Trans., 1975, 6A: 1217
[7] Li Y, Po G, Cui Y N, et al. Prismatic-to-basal plastic slip transition in zirconium [J]. Acta Mater., 2023, 242: 118451
[8] Knezevic M, Zecevic M, Beyerlein I J, et al. Strain rate and temperature effects on the selection of primary and secondary slip and twinning systems in HCP Zr [J]. Acta Mater., 2015, 88: 55
[9] McCabe R J, Proust G, Cerreta E K, et al. Quantitative analysis of deformation twinning in zirconium [J]. Int. J. Plast., 2009, 25: 454
[10] Lei C Y, Mao J Z, Zhou D W, et al. Effects of annealing treatments on forming performance of zirconium alloys [J]. Trans. Nonferrous Met. Soc. China, 2022, 32: 2908
[11] Deng Z P, Zhou D W, Jiang P S, et al. Optimization on stamping process parameters for zirconium alloy sheet strip based on orthogonal experiment [J]. Forg. Stamping Technol., 2019, 44(9): 12
邓振鹏, 周惦武, 蒋朋松 等. 基于正交试验的锆合金薄板带材冲压工艺参数优化 [J]. 锻压技术, 2019, 44(9): 12
[12] Lei C Y, Mao J Z, Zhang X M, et al. A comparison study of the yield surface exponent of the Barlat yield function on the forming limit curve prediction of zirconium alloys with M-K method [J]. Int. J. Mater. Form., 2021, 14: 467
[13] Kim M, Bang S, Lee H, et al. Enhancement of dimple formability in sheet metals by 2-step forming [J]. Mater. Des. (1980-2015), 2014, 54: 121
[14] Marimuthu K P, Choi W, Kim N, et al. Numerical investigations on the effect of pit on two-step dimple forming of atomic fuel spacer grid [J]. Int. J. Adv. Manuf. Technol., 2018, 94: 293
[15] Deng S Y, Song H W, Liu H, et al. Effect of uniaxial loading direction on mechanical responses and texture evolution in cold pilgered Zircaloy-4 tube: Experiments and modeling [J]. Int. J. Solids Struct., 2021, 213: 63
[16] Liu H, Deng S Y, Chen S F, et al. Correlation of the anisotropic hardening behavior and texture features of cold rolled Zr-4 sheet under uniaxial tension [J]. J. Mater. Sci. Technol., 2022, 119: 111
[17] Luan B F, Gao S S, Chai L J, et al. Compression deformation behavior of Zr-1Sn-0.3Nb alloy with different initial orientations at 650 oC [J]. Mater. Des. (1980-2015), 2013, 52: 1065
[18] Chen J W, Luan B F, Chai L J, et al. Heterogeneous microstructure and texture evolution during fabrication of Zr-Sn-Nb zirconium alloy sheets [J]. Acta Metall. Sin., 2012, 48: 393
陈建伟, 栾佰峰, 柴林江 等. Zr-Sn-Nb新型锆合金板材加工过程中不均匀组织与织构演变 [J]. 金属学报, 2012, 48: 393
[19] Knezevic M, Beyerlein I J, Nizolek T, et al. Anomalous basal slip activity in zirconium under high-strain deformation [J]. Mater. Res. Lett., 2013, 1: 133
[20] Cao Y C, Chen D, Xia L, et al. Effects of primary α grains on rolling reductions and deformation modes in Zr alloys: Experiments and modeling [J]. Mech. Mater., 2024, 19: 104957
[21] Kearns J J. On the relationship among ‘f ’ texture factors for the principal planes of zirconium, hafnium and titanium alloys [J]. J. Nucl. Mater., 2001, 299: 171
[22] Su R, Liu J Y, Qiao X Y, et al. Advances in scanning white light interferometry for surface topography measurement [J]. Laser Optoelectron. Prog., 2023, 60: 0312005
苏 榕, 刘嘉宇, 乔潇悦 等. 用于表面形貌测量的扫描白光干涉技术进展 [J]. 激光与光电子学进展, 2023, 60: 0312005
[23] Akhtar A. Compression of zirconium single crystals parallel to the c-axis [J]. J. Nucl. Mater., 1973, 47: 79
[24] Akhtar A. Basal slip in zirconium [J]. Acta Metall., 1973, 21: 1
[25] Chun Y B, Battaini M, Davies C H J, et al. Distribution characteristics of in-grain misorientation axes in cold-rolled commercially pure titanium and their correlation with active slip modes [J]. Metall. Mater. Trans., 2010, 41A: 3473
[1] FAN Xiaoguang, XIAO Yunteng, ZHAN Mei, MA Fei, GAO Pengfei, ZHENG Zebang, ZHANG Xin, SHAO Guangda, WU Yuming. Strain Path Effects in Metal Plastic Forming: Mechanisms, Characterization, and Application[J]. 金属学报, 2026, 62(5): 975-992.
[2] SHANG Hongchun, TIAN Zhongwang, NIU Lanjie, FAN Chenyang, ZHANG Zhewei, LOU Yanshan. Yield Evolution Behavior Characterization and Crystal Plasticity Simulation for 5182-O Aluminum Alloy[J]. 金属学报, 2025, 61(8): 1276-1292.
[3] FAN Ronglei, CHEN Minghe, WU Dipeng, WU Yong. Prediction of Damage and Hot Forming Limit of TA32 Titanium Alloy Based on Crystal Plasticity Model[J]. 金属学报, 2025, 61(8): 1293-1304.
[4] ZHAO Zhuoya, MENG Lingjian, LIN Peng, CAO Xiaoqing. Microstructure Evolution and Texture Formation Mechanism of α Phase During Continuous Through-Transus Thermal Compression of TC4 Titanium Alloy[J]. 金属学报, 2025, 61(5): 717-730.
[5] JIA Chunni, LIU Tengyuan, ZHENG Chengwu, WANG Pei, LI Dianzhong. Micro-Deformation Behavior of Austenite Containing Chemical Boundary in a Medium Mn Steel: A Crystal Plasticity Modeling[J]. 金属学报, 2025, 61(2): 349-360.
[6] YU Qiang, XU Shitong, ZHANG Jianan, YAO Meiyi, HU Lijuan, XIE Yaoping, ZHOU Bangxin. Oxidation Behaviors of Zr-0.75Sn-0.35Fe-0.15Cr- xNb Alloys in High-Temperature Steam with Air[J]. 金属学报, 2025, 61(11): 1689-1702.
[7] GONG Weijia, LIANG Senmao, ZHANG Jingyi, LI Shilei, SUN Yong, LI Zhongkui, LI Jinshan. Effect of Cooling Rate on Hydride Precipitation in Zirconium Alloys[J]. 金属学报, 2024, 60(9): 1155-1164.
[8] WANG Jinxin, YAO Meiyi, LIN Yuchen, CHEN Liutao, GAO Changyuan, XU Shitong, HU Lijuan, XIE Yaoping, ZHOU Bangxin. High Temperature Steam Oxidation Behavior of Zr-1Nb- xFe Alloy Under Simulated LOCA Condition[J]. 金属学报, 2024, 60(5): 670-680.
[9] HUANG Jiansong, PEI Wen, XU Shitong, BAI Yong, YAO Meiyi, HU Lijuan, XIE Yaoping, ZHOU Bangxin. Degradation Mechanism on Corrosion Resistance of High Nb-Containing Zirconium Alloys in Oxygen-Containing Steam[J]. 金属学报, 2024, 60(4): 509-521.
[10] XIE Zedong, DING Cancan, WEN Pengyu, LUO Haiwen. Effect of Flash Heating on Microstructure and Mechanical Properties of 2000 MPa Hot Stamping Steel[J]. 金属学报, 2024, 60(12): 1667-1677.
[11] XU Yongsheng, ZHANG Weigang, XU Lingchao, DAN Wenjiao. Simulation of Deformation Coordination and Hardening Behavior in Ferrite-Ferrite Grain Boundary[J]. 金属学报, 2023, 59(8): 1042-1050.
[12] LIAO Jingjing, ZHANG Wei, ZHANG Junsong, WU Jun, YANG Zhongbo, PENG Qian, QIU Shaoyu. Periodic Densification-Transition Behavior of Zr-Sn-Nb-Fe-V Alloys During Uniform Corrosion in Superheated Steam[J]. 金属学报, 2023, 59(2): 289-296.
[13] GUO Xiangru, SHEN Junjie. Modelling of the Plastic Behavior of Cu Crystal with Twinning-Induced Softening and Strengthening Effects[J]. 金属学报, 2022, 58(3): 375-384.
[14] ZHU Bin, YANG Lan, LIU Yong, ZHANG Yisheng. Micromechanical Properties of Duplex Microstructure of Martensite/Bainite in Hot Stamping via the Reverse Algorithms in Instrumented Sharp Indentation[J]. 金属学报, 2022, 58(2): 155-164.
[15] GUO Haohan, YANG Jie, LIU Fang, LU Rongsheng. Constraint Related Fatigue Crack Initiation Life of GH4169 Superalloy[J]. 金属学报, 2022, 58(12): 1633-1644.
No Suggested Reading articles found!