The efficient prediction of welding deformation is important for the deviation control of large welded structures. In this paper, an analytical model is proposed to predict the welding deformation of large aluminium alloy plates. The welding-induced equivalent moments are calculated based on the inherent strain of a small-scale welded plate. The large welded plate is regarded as a corner-supported plate subjected to the equivalent moments. The welding deformation of the large welded plate is analytically derived by using the reciprocal theorem of work, and is validated by the experimental data. The effect of heterogeneous weld properties and plate dimensions on the welding deformation is quantitatively discussed. The proposed model can facilitate the deformation prediction of large welded structures.
ThreadgillPLLeonardAJShercliffHR, et al.Friction stir welding of aluminium alloys. Int Mater Rev2009; 54: 49–93.
2.
LiuSWuZZhouW, et al.A review of welding simulation methods for large components. Prog Nat Sci: Mater Int2023; 33: 551–568.
3.
LuYLuCZhangD, et al.Numerical computation methods of welding deformation and their application in bogie frame for high-speed trains. J Manuf Process2019; 38: 204–213.
4.
HuangHWangJLiL, et al.Prediction of laser welding induced deformation in thin sheets by efficient numerical modeling. J Mater Process Technol2016; 227: 117–128.
5.
RongYChangYXuJ, et al.Numerical analysis of welding deformation and residual stress in marine propeller nozzle with hybrid laser-arc girth welds. Int J Pres Ves Pip2017; 158: 51–58.
6.
ZhuJKhurshidMBarsoumZ. Accuracy of computational welding mechanics methods for estimation of angular distortion and residual stresses. Weld World2019; 63: 1391–1405.
7.
MurakawaHMaNHuangH. Iterative substructure method employing concept of inherent strain for large-scale welding problems. Weld World2015; 59: 53–63.
8.
ZhouHYiBNiuY, et al.Application of efficient TEP FE computation on accurate fabrication of cylindrical leg structure of jack-up rig. Ocean Eng2020; 196: 106812.
9.
HuangHMaNChenJ, et al.Toward large-scale simulation of residual stress and distortion in wire and arc additive manufacturing. Addit Manuf2020; 34: 101248.
10.
ZhongYXuQ. Analysis bending solutions of clamped rectangular thick plate. Math Probl Eng2017; 1: 1–6.
11.
HuYKhezriMRasmussenKJR. Analytical buckling solutions for Levy-type plates with edge and interior point-support (s). Thin Wall Struct2019; 145: 106419.
12.
LiRTianYZhengX, et al.New analytic bending solutions of rectangular thin plates with a corner point-supported and its adjacent corner free. Eur J Mech A-Solids2017; 66: 103–113.
13.
QiaoJHouGLiuJ. Analytical solutions for the model of moderately thick plates by symplectic elasticity approach. AIMS Math2023; 8: 20731–20754.
14.
ZhongYHengL. Theoretical solution for thick plate resting on pasternak foundation by symplectic geometry method. J Appl Mech2014; 81: 031007.
15.
ZhangJZhouCUllahS, et al.Accurate bending analysis of rectangular thin plates with corner supports by a unified finite integral transform method. Acta Mech2019; 230: 3807–3821.
16.
FuB. Generalized reciprocal theorems and their applications. Appl Math Mech2002; 23: 203–210.
17.
BachmannMCarstensenJBergmannL, et al.Numerical simulation of thermally induced residual stresses in friction stir welding of aluminum alloy 2024-T3 at different welding speeds. Int J Adv Manuf Technol2017; 91: 1443–1452.
18.
YuHLiYXuX, et al.Out-of-plane distortion prediction of large thin-walled structures induced by friction stir welding. Sci Technol Weld Join2020; 25: 45–55.
19.
YiBWangJ. Mechanism clarification of mitigating welding induced buckling by transient thermal tensioning based on inherent strain theory. J Manuf Process2021; 68: 1280–1294.
20.
LeeJMSeoHDChungH. Efficient welding distortion analysis method for large welded structures. J Mater Process Technol2018; 256: 36–50.
21.
UrbanskiTTaczalaM. Prediction of the welding distortions of butt welded joints using total moments method based on equivalent loads. J Manuf Process2022; 75: 1039–1057.
22.
KimYTKimTJParkTY, et al.Welding distortion analysis of hull blocks using equivalent load method based on inherent strain. J Ship Res2012; 56: 63–70.
23.
WangJRashedSMurakawaH. Mechanism investigation of welding induced buckling using inherent deformation method. Thin Wall Struct2014; 80: 103–119.
24.
FuB. Generalized displacement theory of bending rectangular plates. Beijing: Science Press, 2006, in Chinese.
25.
ZhaoYYangZDombleskyJP, et al.Investigation of through thickness microstructure and mechanical properties in friction stir welded 7N01 aluminum alloy plate. Mater Sci Eng A2019; 760: 316–327.
