Experimental and Numerical Investigation on Residual Stress in Line-heating Double-curvature Ship Plates

ZHANG Baozhu; LIU Kai; ZHANG Tingwei; QIAO Yingjie

doi:10.3969/j.issn.1674-6457.2026.06.018

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Journal of Netshape Forming Engineering ›› 2026, Vol. 18 ›› Issue (6) : 201-208. DOI: 10.3969/j.issn.1674-6457.2026.06.018

Iron and Steel Forming

Experimental and Numerical Investigation on Residual Stress in Line-heating Double-curvature Ship Plates

ZHANG Baozhu¹, LIU Kai^2,*, ZHANG Tingwei², QIAO Yingjie¹

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Abstract

The work aims to investigate the distribution patterns of residual stress induced by the line-heating bending process, providing fundamental theoretical guidance for process optimization. AH36 steel plates (1 000 mm × 800 mm × 8 mm) were used as the material and subjected to rolling followed by the line-heating bending thermal process to form double-curvature plates. Three heating path schemes were implemented, including short-line heating, cross-line heating, and high-heat-input cross-line heating. Residual stress distributions and deformations under different schemes were analyzed by the indentation method combined with finite element simulations. Both experimental and simulation results indicated that heating path significantly affected residual stress distribution. The short-line heating scheme produced the highest transverse residual stress, reaching up to 400 MPa (close to the yield strength), leading to an increase in the transverse diameter after cold forming. The cross-line heating scheme exhibited higher longitudinal residual stress, but with smaller tensile-compressive amplitudes, resulting in reduced longitudinal warping. Although high heat input increased residual stress, the effect on transverse diameter and warping was limited due to the thinness of plate. Heating path is a critical factor affecting residual stress distribution. The cross-line heating scheme can effectively mitigate transverse diameter deformation, whereas the short-line heating scheme is prone to local stress concentration. Increasing heat input raises residual stress but does not necessarily affect overall deformation, and should therefore be controlled within a reasonable range.

Key words

double-curvature steel plates / line-heating process / residual stress / deformation simulation / stress test

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ZHANG Baozhu, LIU Kai, ZHANG Tingwei, QIAO Yingjie. Experimental and Numerical Investigation on Residual Stress in Line-heating Double-curvature Ship Plates[J]. Journal of Netshape Forming Engineering. 2026, 18(6): 201-208 https://doi.org/10.3969/j.issn.1674-6457.2026.06.018

References

[1] 蔡向东. 船舶典型双向曲率板局部冷压成型方法研究[D]. 武汉: 华中科技大学, 2021.
CAI X D.Research on the Local Cold Press Forming Method of Ship's Typical Bidirectional Curvature Plate[D]. Wuhan: Huazhong University of Science and Technology, 2021.
[2] 王江超, 张楚汉, 易斌, 等. 船体曲率板感应加热成形工艺研究[J]. 中国舰船研究, 2021, 16(2): 141-150.
WANG J C, ZHANG C H, YI B, et al.An Investigation of the Induction Heating Forming Process of Hull Curved Plate[J]. Chinese Journal of Ship Research, 2021, 16(2): 141-150.
[3] 王顺, 王一冰, 汪骥, 等. 船舶复杂曲板水火成形难度评价系统的开发及应用[J]. 船舶工程, 2023, 45(7): 143-147.
WANG S, WANG Y B, WANG J, et al.Development and Application of Line Heating Forming Difficulty Evaluation System for Curved Hull Plate[J]. Ship Engineering, 2023, 45(7): 143-147.
[4] 兰宏凯, 柳存根, 汪学锋, 等. 船体曲板热成型工艺方法研究综述[J]. 中国造船, 2019, 60(2): 207-216.
LAN H K, LIU C G, WANG X F, et al.Review of Plate Forming by Line Heating for Ship Hull[J]. Shipbuilding of China, 2019, 60(2): 207-216.
[5] 王顺, 李晨骁, 汪骥, 等. 考虑挠度的船用高强度钢曲板线加热成形数值计算研究[J]. 中国造船, 2021, 62(4): 230-243.
WANG S, LI C X, WANG J, et al.Numerical Calculation of Line Heating Forming of Marine High Strength Steel Bending Plate Considering Deflection[J]. Shipbuilding of China, 2021, 62(4): 230-243.
[6] 李嘉栋, 陈超, 张世贵, 等. 不同应力条件下不锈钢局部腐蚀行为的研究进展[J]. 表面技术, 2021, 50(3): 101-115.
LI J D, CHEN C, ZHANG S G, et al.Research Progress on Localized Corrosion Behavior of Stainless Steel under Different Stress Conditions[J]. Surface Technology, 2021, 50(3): 101-115.
[7] 陈恒, 卢琳. 残余应力对金属材料局部腐蚀行为的影响[J]. 工程科学学报, 2019, 41(7): 929-939.
CHEN H, LU L.Effect of Residual Stress on Localized Corrosion Behavior of Metallic Materials[J]. Chinese Journal of Engineering, 2019, 41(7): 929-939.
[8] 李川, 罗茜, 张薇. 典型舰船用金属材料腐蚀与防护研究进展[J]. 装备环境工程, 2023, 20(8): 80-89.
LI C, LUO X, ZHANG W.Research Progress on Corrosion and Protection of Typical Warship Metal Materials[J]. Equipment Environmental Engineering, 2023, 20(8): 80-89.
[9] 袁萍, 王呈方, 胡勇, 等. 大型船舶三维数控弯板机的研制[J]. 中国造船, 2014, 55(2): 122-131.
YUAN P, WANG C F, HU Y, et al.Development of Large Plate Bending Machine for Shipbuilding with Three-Dimensional Numerical Control[J]. Shipbuilding of China, 2014, 55(2): 122-131.
[10] 张雪彪, 纪卓尚, 刘玉君, 等. 水火弯板工艺参数和角变形关系的有限元分析[J]. 船舶力学, 2008, 12(4): 607-618.
ZHANG X B, JI Z S, LIU Y J, et al.Finite Element Analysis of the Relation between Heating Parameters and Angular Deformation by Line Heating[J]. Journal of Ship Mechanics, 2008, 12(4): 607-618.
[11] VEGA A, RASHED S, TANGO Y, et al.Analysis and Prediction of Multi-heating Lines Effect on Plate Forming by Line Heating[J]. Computer Modeling in Engineering & Sciences, 2008, 28(1): 1.
[12] LEE J, LEE S.A Study on the Thermal Deformation Characteristics of Steel Plates Due to Multi-line Heating[J]. International Journal of Naval Architecture and Ocean Engineering, 2018, 10(1): 48-59.
[13] WANG S, JIA H H, FU Y X, et al.Numerical Calculation of Line Heating for Hull Curved Plate Based on Strain Direct Boundary[J]. Ocean Engineering, 2025, 341: 122816.
[14] 古松, 蒋广, 顾颖, 等. X80高钢级管道焊接残余应力测试研究[J]. 精密成形工程, 2025, 17(1): 127-133.
GU S, JIANG G, GU Y, et al.Welding Residual Stress Test of X80 Oil Pipeline Girth Weld[J]. Journal of Netshape Forming Engineering, 2025, 17(1): 127-133.
[15] 甘世明, 徐艳文, 韩永全, 等. 模态试验法测试焊接残余应力机理分析及模型参数估计[J]. 焊接学报, 2023, 44(8): 34-40.
GAN S M, XU Y W, HAN Y Q, et al.Mechanism Analysis and Model Parameters Estimation of Welding Residual Stress Measurement Based on Modal Test Method[J]. Transactions of the China Welding Institution, 2023, 44(8): 34-40.
[16] 黄超群, 李桓, 罗传光, 等. 盲孔法与压痕法测量2219铝合金熔焊焊缝残余应力的对比分析[J]. 焊接学报, 2017, 38(7): 54-58.
HUANG C Q, LI H, LUO C G, et al.Comparative Study of Blind Hole Method and Indentation Method in Measuring Residual Stress of 2219 Aluminum Alloy Arc-Welded Joint[J]. Transactions of the China Welding Institution, 2017, 38(7): 54-58.
[17] 王楠, 罗岚, 刘勇, 等. 金属构件残余应力测量技术进展[J]. 仪器仪表学报, 2017, 38(10): 2508-2517.
WANG N, LUO L, LIU Y, et al.Research Progress on Stress Measurement Technology for Metal Components[J]. Chinese Journal of Scientific Instrument, 2017, 38(10): 2508-2517.
[18] 齐亮, 葛成威, 黄晶, 等. 船体外板曲面氢氧焰线加热成形机理及实验研究[J]. 船舶力学, 2021, 25(12): 1729-1743.
QI L, GE C W, HUANG J, et al.Experimental Research on Mechanism of Hull Plates Curved Forming by a Clean Energy Source[J]. Journal of Ship Mechanics, 2021, 25(12): 1729-1743.
[19] CHOI Y H, LEE Y W, CHOI K, et al.Temperature Distribution and Thermal Stresses in Various Conditions of Moving Heating Source during Line Heating Process[J]. Journal of Thermal Science, 2012, 21(1): 82-87.
[20] 蒋文春, 谷文斌, 金强, 等. 主副加热分布式热源局部热处理方法[J]. 焊接学报, 2023, 44(5): 27-35.
JIANG W C, GU W B, JIN Q, et al.Local Post Weld Heat Treatment Method by Primary and Secondary Distributed Heat Source[J]. Transactions of the China Welding Institution, 2023, 44(5): 27-35.
[21] 罗云, 蒋文春, 王炳英. 套管修复焊接残余应力三维有限元模拟[J]. 热加工工艺, 2014, 43(19): 186-189.
LUO Y, JIANG W C, WANG B Y.3-D Finite Element Simulation on Welding Residual Stress of Casing Repair[J]. Hot Working Technology, 2014, 43(19): 186-189.
[22] 张国滨, 姜梦, 陈曦, 等. 常压/真空环境激光焊接焊缝成形特性及残余应力与变形对比[J]. 焊接学报, 2022, 43(8): 34-41.
ZHANG G B, JIANG M, CHEN X, et al.A Comparison Study of Characteristics of Weld Formation, residual Stress and Distortion of Laser Welding under Atmospheric Pressure and Vacuum[J]. Transactions of the China Welding Institution, 2022, 43(8): 34-41.
[23] THOMAS K, SHARMA R, BHATTACHARYYA S K.A Computer Simulation Model for Thermal Forming of Ship and Offshore Structures[J]. Journal of Ship Production and Design, 2018, 34(4): 279-309.
[24] ZHU Y, LUO Y.A Simplified Heat Source Model for Thick Plate Bending via High-Frequency Induction Line Heating[J]. Ships and Offshore Structures, 2019, 14(1): 64-73.
[25] DOS SANTOS GUZELLA M, CABEZAS-GÓMEZ L, GUIMARÃES L G M, et al. A Modified Approach for Numerical Simulation of Capillary Tube-Suction Line Heat Exchangers[J]. Applied Thermal Engineering, 2016, 102: 283-292.
[26] ZHU Y, ZHAO Y, FU J, et al.Effect of Different Heat Inputs on Impact Performance of AH36 Steel Laser-MAG Hybrid Welded T-Joints[J]. Journal of Materials Engineering and Performance, 2025, 34(8): 6988-7000.
[27] XU X W, LAN X Y.Experimental Study on Compressive Behavior of S690 and S960 High Strength Steel Transverse Plate-to-CHS X-Joints Considering Welding Heat Input Effects[J]. Thin-Walled Structures, 2025, 215: 113510.
[28] CUI S W, MO G L, LI H C, et al.Melt Pool Morphology, Microstructure Evolution, and Mechanical Properties of Dissimilar Aluminum Alloy Butt Laser Welding Joints under Different Heat Input[J]. Welding in the World, 2025, 69(11): 3509-3521.