Abstract
Grain growth and hardness variation occurring in high-temperature heat affected zone (HAZ) during the welding processes are two thermal dependant aspects of great interest for both academic and industrial research activities. This paper presents an innovative finite element (FE) model capable to describe the grain growth and the hardness decrease that occur during the gas metal arc welding (GMAW) of commercial AISI 441 steel. The commercial FE software SFTC DEFORM-3D™ was used to simulate the GMAW process, and a user subroutine was developed including a physical based model and the Hall–Petch (H-P) equation to predict grain size variation and hardness change. The model was validated by comparison with the experimental results showing its reliability in predicting important welding characteristics temperature dependant. The study provides an accurate numerical model (i.e. user subroutine, heat source fitting, geometry) able to successfully predict the thermal phenomena (i.e. coarsening of the grains and hardening decrease) that occur in the HAZ during welding process of ferritic stainless steel.
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commercial FE software SFTC DEFORM-3D™
Abbreviations
- C 0 :
-
Numerical constant
- C 1 :
-
Numerical constant
- D :
-
Current grain size
- D 0 :
-
Initial grain size
- FE:
-
Finite element
- FEM:
-
Finite element method
- FZ:
-
Fusion zone
- GMAW:
-
Gas metal arc welding
- GTAW:
-
Gas tungsten arc welding
- HAZ:
-
Heat affected zone
- H-P:
-
Hall-Petch
- HV:
-
Hardness Vickers
- IRC:
-
Infra-red camera
- Q :
-
Activation energy for grain growth
- R :
-
Gas constant
- T :
-
Current temperature
- TIG:
-
Tungsten inert gas
- a :
-
Heat source parameter
- b :
-
Heat source parameter
- c 1 :
-
Heat source parameter
- c 2 :
-
Heat source parameter
- d :
-
Average grain size
- k :
-
Numerical constant
- k y :
-
Numerical constant
- k 0 :
-
Numerical constant
- σ y :
-
Yield strength
- σ 0 :
-
Numerical constant
- m :
-
Numerical constant
- t :
-
Time
References
Venkatkumar D, Ravindran D (2016) 3D finite element simulation of temperature distribution, residual stress and distortion on 304 stainless steel plates using GTA welding. J Mech Sci Technol 30:67–76. https://doi.org/10.1007/s12206-015-1208-5
Balram Y, Vishu Vardhan T, Sridhar Babu B, Venkat Ramana G, Preethi C (2019) Thermal stress analysis of AISI 316 stainless steels weldments in TIG and pulse TIG welding processes. Mater Today Proc 19(2):182–187. https://doi.org/10.1016/j.matpr.2019.06.695
Vasantharaja P, Maduarimuthu V, Vasudevan M, Palanichamy P (2012) Assessment of residual stresses and distortion in stainless steel weld joints. Mater Manuf Process 27:1376–1381. https://doi.org/10.1080/10426914.2012.663135
Sule J, Ganguly S, Coules H, Pirling T (2015) Application of local mechanical tensioning and laser processing to refine microstructure and modify residual stress state of a multi-pass 304L austenitic steels welds. J Manuf Process Int J Plast 18:141–150. https://doi.org/10.1016/j.jmapro.2015.03.003
Puliyaneth M, Chen H (2021) Study on the effect of welding residual stress on creep-cyclic plasticity behaviour. Int J Press Vessels Pip 193:104444. https://doi.org/10.1016/j.ijpvp.2021.104444
Chuan L, Jianxun Z, Jing N (2009) Numerical and experimental analysis of residual stresses in full-penetration laser beam welding of Ti6Al4V alloy. Rare Metal Mat Eng 38:1317–1320. https://doi.org/10.1016/S1875-5372(10)60066-5
Ordieres J, Rodríguez E, Bayón A, Caixas J, Barbensi A, Martín C (2021) Determination of the influence of clamping on welding distortion applied to PS2 mock-up using finite element simulations. Fusion Eng Des 166:112327. https://doi.org/10.1016/j.fusengdes.2021.112327
Woo D, Kitamura M, Takezawa A (2020) Systematic method for positioning clamps and strongbacks based on their influence on welding displacements. Ocean Eng 202:107084. https://doi.org/10.1016/j.oceaneng.2020.107084
Mondal AK, Kumar B, Bag S, Nirsanametla Y, Biswas P (2021) Development of avocado shape heat source model for finite element based heat transfer analysis of high-velocity arc welding process. Int J Therm Sci 166:107005. https://doi.org/10.1016/j.ijthermalsci.2021.107005
Unni AK, Vasudevan M (2021) Determination of heat source model for simulating full penetration laser welding of 316 LN stainless steel by computational fluid dynamics. Mater Today: proc 45(6):4465–4471. https://doi.org/10.1016/j.matpr.2020.12.842
Xu JJ, Gilles P, Duan YG, Yu C (2012) Temperature and residual stress simulations of the NeT single-bead-on-plate specimen using SYSWELD. Int J Press Vessels Pip 99–100:51–60. https://doi.org/10.1016/j.ijpvp.2012.08.002
Prabakaran ST, Sakthivel P, Shanmugam M, Satish S, Muniyappan M, Shaisundaram VS (2021) Modelling and experimental validation of TIG welding of INCONEL 718. Mater Today Proc 37(2):1917–1931. https://doi.org/10.1016/j.matpr.2020.07.482
Balasubramanian KR, Suthakar T, Sankaranarayanasamy K (2012) Finite element analysis of heat distribution in laser beam welding of AISI 304 stainless steel sheet. Int J Manuf 7(1):42–58. https://doi.org/10.1504/IJMR.2012.045243
Zubairuddin M, Albert SK, Mahadevan S, Vasudevan M, Chaudhari V, Suri VK (2014) Experimental and finite element analysis of residual stress and distortion in GTA welding of modified 9Cr-1Mo steel. J Mech Sci Technol 28(12):5095–5105. https://doi.org/10.1007/s12206-014-1132-0
Panda SK, Sreenivasan N, Kuntz ML, Zhou Y (2008) Numerical simulations and experimental results of tensile test behavior of laser butt welded DP980 steels. J Eng Mater Technol 130(4):041003. https://doi.org/10.1115/1.2969256
Deshpande AA, Xu L, Sun W, McCartney DG, Hyde TH (2011) Finite-element-based parametric study on welding-induced distortion of TIG-welded stainless steel 304 sheets. J Strain Anal Enf Des 46(4):267–279. https://doi.org/10.1177/0309324711398763
Konar R, Patek M (2017) Numerical simulation of dissimilar weld joint in SYSWELD simulation software. Tech Gaz 24(1):137–142. https://doi.org/10.17559/TV-20150513074103
Narayanareddy VV, Srinivasa RD, Krishnaveni MNV, Amareswarireddy M (2015) Finite element modeling of TIG welding for 316L stainless steel plate using Sysweld. Int J Eng Mang Res 5(2):390–397 (ISSN (ONLINE): 2250-0758, ISSN (PRINT): 2394-6962)
Del Coz DJJ, Menéndez Rodríguez P, García Nieto PJ, Castro-Fresno D (2010) Comparative analysis of TIG welding distortions between Austenitic and Duplex Stainless Steels by FEM. Appl Therm Eng 30(16):2448–2459. https://doi.org/10.1016/j.applthermaleng.2010.06.016
Huang Y-C, Su C-H, Wu S-K, Lin C (2019) A Study on the Hall-Petch Relationship and Grain Growth Kinetics in FCC-structured high/medium entropy alloys. Entropy 21(3):297. https://doi.org/10.3390/e21030297
Moravec J, Novakova I, Sobotka J, Neumann H (2019) Huang Y-C, Su C-H, Wu S-K, Lin C (2019) Determination of grain growth kinetics and assessment of welding effect on properties of S700MC steel in the HAZ of welded joints. Metals 9(6):707. https://doi.org/10.3390/met9060707
Sello MP, Stumpf WE (2011) Laves phase precipitation and its transformation kinetics in the ferritic stainless steel type AISI 441. Mater Sci Eng A 528(3):1840–1847. https://doi.org/10.1016/j.msea.2010.09.090
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Conceptualization, S.C. and S.I.; methodology, S.C. and S.I. software, S.C.; validation, S.C.; formal analysis, S.I.; investigation, S.C. and S.I.; resources, S.C. and S.I.; data curation, S.C. and S.I.; writing–original draft preparation, S.C. and S.I.; writing–review and editing, S.C. and S.I.; visualization, S.I.; supervision, S.C. All authors have read and agreed to the published version of the manuscript.
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Caruso, S., Imbrogno, S. Finite element modelling and experimental validation of microstructural changes and hardness variation during gas metal arc welding of AISI 441 ferritic stainless steel. Int J Adv Manuf Technol 119, 2629–2637 (2022). https://doi.org/10.1007/s00170-021-08401-8
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DOI: https://doi.org/10.1007/s00170-021-08401-8