Three-dimensional finite element modelling of welding residual stresses of medium carbon steel pipes with consideration of solid-state austenite-martensite transformation and post-weld heat treatment
Restricted accessResearch articleFirst published online November, 2019
Three-dimensional finite element modelling of welding residual stresses of medium carbon steel pipes with consideration of solid-state austenite-martensite transformation and post-weld heat treatment
In the present work, three-dimensional finite element modelling is presented to simulate welding of the medium carbon steel pipes by considering both the solid-state austenite-martensite transformation and the post-weld heat treatment. Thermo-elasto-plastic and metallurgical analyses are carried out by developing two user-defined subroutines: one for applying the heat flux and the another one for considering phase transformation effects on welding residual stresses. The applied heat flux is simulated by a double ellipsoid model. Furthermore, the effects of volumetric change due to the solid-state austenite-martensite transformation are taken into account. The results obtained have revealed that volumetric change owing to the solid-state austenite-martensite transformation has a significant effect on the magnitude and distribution of welding residual stresses. The main contribution of the present work is providing helpful knowledge about welding residual stresses evolution after and before the post-weld heat treatment by considering the solid-state austenite-martensite transformation. In addition to reference to the time–temperature–transformation diagram, this study can result in safe selection of post-weld heat treatment parameters, which not only prevents sensitization to stress corrosion cracking and intergranular corrosion but also provides enough and more importantly controlled relaxation of welding residual stresses.
GarciaCDe TiedraMBlancoY, et al.Intergranular corrosion of welded joints of austenitic stainless steels studied by using an electrochemical minicell. Corros Sci2008; 50: 2390–2397.
2.
KinaAYSouzaVMTavaresS, et al.Microstructure and intergranular corrosion resistance evaluation of aisi 304 steel for high temperature service. Mater Charact2008; 59: 651–655.
3.
TaljatBRadhakrishnanBZachariaT. Numerical analysis of gta welding process with emphasis on post-solidification phase transformation effects on residual stresses1. Mater Sci Eng A1998; 246: 45–54.
4.
BhadeshiaH. Developments in martensitic and bainitic steels: role of the shape deformation. Mater Sci Eng A2004; 378: 34–39.
5.
InstitutionBS. Guide on methods for assessing the acceptability of flaws in metallic structures, London: British Standard Institution, 1999.
6.
Hadley I and Koçak M. Overview of the european fitnet fitness-for-service procedure. In: ASME 2008 27th international conference on offshore mechanics and arctic engineering. New York: American Society of Mechanical Engineers, pp.447–455.
7.
Osage DA and Janelle JL. Api 579-1/asme ffs-1 2007: a joint api/asme fitness-for-service standard for pressurized equipment. In: ASME 2008 pressure vessels and piping conference. New York: American Society of Mechanical Engineers, pp.777–791.
8.
PangHPukasS. Residual stress measurements in a cruciform welded joint using hole drilling and strain gauges. Strain1989; 25: 7–14.
9.
ChengWFinnieI. A method for measurement of axisymmetric axial residual stresses in circumferentially welded thin-walled cylinders. J Eng Mater Technol1985; 107: 181–185.
10.
ChuSPeukrtHSchniderE. Residual stress in a welded steel plate and their measurement using ultrasonic techniques. MRL Bull Res Dev1987; 1: 45–50.
11.
MasubuchiKMartinDC. Investigation of residual stresses by use of hydrogen cracking. 2. Welding J1966; 40: 553s–563s–553s–563s.
12.
OddyAGoldakJMcDillJ. A general transformation plasticity relation for 3d finite element analysis of welds. Eur J Mech A Solids1990; 9: 253–263.
13.
HibbittHDMarcalPV. A numerical, thermo-mechanical model for the welding and subsequent loading of a fabricated structure. Comput Struct1973; 3: 1145–1174.
14.
DengDMurakawaH. Prediction of welding residual stress in multi-pass butt-welded modified 9cr–1mo steel pipe considering phase transformation effects. Comput Mater Sci2006; 37: 209–219.
15.
LeeCHChangKH. Finite element simulation of the residual stresses in high strength carbon steel butt weld incorporating solid-state phase transformation. Comput Mater Sci2009; 46: 1014–1022.
16.
WenSHiltonPFarrugiaD. Finite element modelling of a submerged arc welding process. J Mater Process Technol2001; 119: 203–209.
17.
FeliSAaleaghaMAForoutanM, et al.Finite element simulation of welding sequences effect on residual stresses in multipass butt-welded stainless steel pipes. J Press Vessel Technol2012; 134: 011209–011209.
18.
GaneshKVasudevanMBalasubramanianK, et al.Modeling, prediction and validation of thermal cycles, residual stresses and distortion in type 316 ln stainless steel weld joint made by tig welding process. Procedia Eng2014; 86: 767–774.
19.
ZhaoLLiangJZhongQ, et al.Numerical simulation on the effect of welding parameters on welding residual stresses in t92/s30432 dissimilar welded pipe. Adv Eng Software2014; 68: 70–79.
20.
ObeidOAlfanoGBahaiH, et al.Numerical simulation of thermal and residual stress fields induced by lined pipe welding. Therm Sci Eng Progr2018; 5: 1–14.
21.
JunHKKimDWJeonIS, et al.Investigation of residual stresses in a repair-welded rail head considering solid-state phase transformation. Fatig Fract Eng Mater Struct2017; 40: 1059–1071.
22.
DengD. Fem prediction of welding residual stress and distortion in carbon steel considering phase transformation effects. Mater Des2009; 30: 359–366.
23.
YaghiAHydeTBeckerA, et al.Numerical simulation of p91 pipe welding including the effects of solid-state phase transformation on residual stresses. Proc IMechE, Part L: J Materials: Design and Applications2007; 221: 213–224.
24.
YaghiAHydeTBeckerA, et al.Finite element simulation of welding and residual stresses in a p91 steel pipe incorporating solid-state phase transformation and post-weld heat treatment. J Strain Anal Eng Des2008; 43: 275–293.
25.
McEnerney JW and Dong P. Recommended practices for local heating of welds in pressure vessels. WRC BULLETIN 2000.
26.
JosefsonB. Residual stresses and their redistribution during annealing of a girth-butt welded thin-walled pipe. J Press Vessel Technol1982; 104: 245–250.
27.
WangJLuHMurakawaH. Mechanical behavior in local post weld heat treatment (report i): visco-elastic-plastic fem analysis of local pwht (mechanics, strength & structure design). Trans JWRI1998; 27: 83–88.
28.
LuHWangJMurakawaH, et al.Heated band width criterion based on stress relief in local post weld heat treatment of concurrent tubular joint (mechanics, strength & structure design). Trans JWRI2002; 31: 77–81.
29.
QianYZhaoJ. Influence of pwht on the residual stress in under-matching welded joint. Procedia Eng2015; 130: 966–972.
30.
VenkataKAKumarSDeyH, et al.Study on the effect of post weld heat treatment parameters on the relaxation of welding residual stresses in electron beam welded p91 steel plates. Procedia Eng2014; 86: 223–233.
31.
AkbarzadehISattari-FarISalehiM. Numerical and experimental study of the effect of short-term and long-term creep modeling in stress relaxation of a multi-pass welded austenitic stainless steel pipe. Mater Sci Eng A2011; 528: 2118–2127.
32.
GoldakJChakravartiABibbyM. A new finite element model for welding heat sources. Metallurgical Trans B1984; 15: 299–305.
33.
BrickstadBJosefsonB. A parametric study of residual stresses in multi-pass butt-welded stainless steel pipes. Int J Press Vessel Piping1998; 75: 11–25.
34.
KosistinenDMarburgerR. A general equation prescribing extent of austenite–martensite transformation in pure fe–c alloys and plain carbon steel. Acta Metall1959; 7: 50–60.
35.
WattDCoonLBibbyM, et al.An algorithm for modelling microstructural development in weld heat-affected zones (part a) reaction kinetics. Acta Metall1988; 36: 3029–3035.
36.
Ko istinenDMarbürgerR. A general equation prescribing extent of austenite-martensite transformation in pure fe-c alloy and plain carbon steels. Acta Metall1959; 7: 59–60.
37.
KraussG. Deformation and fracture in martensitic carbon steels tempered at low temperatures. Metall Mater Trans A2001; 32: 861–877.
38.
ChenWFHanDJ. Plasticity for structural engineers, Plantation: J. Ross Publishing, 2007.
