Abstract
A three-dimensional coupled model in a Eulerian framework has been developed in COMSOL Multiphysics software and used to study the complex phenomena of thermal and material flow during the friction stir welding (FSW) process. The moving heat source (tool) effect is modelled using a coordinate transformation. The frictional heat as a function of temperature-dependent yield strength of AA2219-T87 material and the deformation energy of plasticized material flow are considered. Further, the plasticized material flow around the rotating tool is modelled as non-Newtonian fluid using partial-sticking/sliding boundary condition with a computed slip factor (δ) at the workpiece-tool material interfaces. The coupled Eulerian model prediction accuracy has been validated against the experimental weldment zones and found a good agreement in terms of the shape and size. Subsequently, the effects of tool-pin profiles (cylindrical and conical) on thermal distribution, material flow, shear strain rates, thermal histories, and weldment zones were studied. It is found that the maximum temperatures, material flow velocities, and shear strain rates are low with the conical tool pin in contrast to the cylindrical one, and it is partly attributed to increased mixing of shoulder and pin-driven material flow around the rotating tool, which in turn decreased the size of weldment zones. Also, the maximum temperatures, material flow velocities, and shear strain rates on the advancing side are higher than those of the retreating side. Therefore, it is suggested to use the CFD model to design the FSW process and tool parameters in a cost-effective way in contrast to the tedious experimental route.
Similar content being viewed by others
Abbreviations
- AS:
-
Advancing side
- CFD:
-
Computational fluid dynamics
- C p :
-
Specific heat (J/kg ∙ K)
- DSC:
-
Differential scanning calorimetry
- D, d :
-
Shoulder diameter, pin diameter
- F :
-
Volume force source term (N/m3)
- FE:
-
Finite element
- FSW:
-
Friction stir welding
- HAZ:
-
Heat-affected zone
- H :
-
Tool-pin height (mm)
- h conv :
-
Heat transfer coefficient (W/m2 ∙ K)
- k :
-
Thermal conductivity (W/m ∙ K)
- MUMPS:
-
Multifrontal massively parallel sparse
- p :
-
Pressure (Pa)
- PARDISO:
-
Parallel Sparse Direct Solver
- q :
-
Heat flux (W/m2)
- Q vd :
-
Viscous dissipation energy (W/m3)
- r :
-
Radius (mm)
- RS:
-
Retreating side; rotational speed (rpm)
- SS:
-
Stainless steel
- t :
-
Time (s)
- T :
-
Temperature (K)
- TMAZ:
-
Thermomechanically affected zone
- TS:
-
Traverse speed (mm/min)
- TWI:
-
The Welding Institute
- T m :
-
Melting temperature (K)
- u :
-
Velocity component (m/s)
- u :
-
Velocity vector (m/s)
- μ app :
-
Apparent viscosity (kg/m ∙ s)
- u trans :
-
Translational (traverse) speed (m/s)
- v :
-
Velocity component (m/s)
- WNZ:
-
Weld nugget zone
- x, y, z :
-
Space coordinates (m)
- ρ :
-
Density (kg/m3)
- ꞷ :
-
Angular velocity (rad/s)
- δ :
-
Slip factor
- ∆T :
-
Temperature difference (K)
- σ y :
-
Yield strength (N/m2)
- \(\dot{\gamma}\) :
-
Shear strain rate (1/s)
- ∇:
-
Vector differential operator
- b:
-
Bottom
- m:
-
Melting
- p:
-
Pin
- s:
-
Shoulder
- t:
-
Tool, top
References
Thomas WM, Nicholas ED, Needham JC, Murch MG, Temple-smith P (1991) Friction stir butt welding. International Patent Application No 5(460):317
Elangovan K, Balasubramanian V (2007) Influences of pin profile and rotational speed of the tool on the formation of friction stir processing zone in AA2219 aluminium alloy. Mater Sci Eng A 459:7–18. https://doi.org/10.1016/j.msea.2006.12.124
Elangovan K, Balasubramanian V (2008) Influences of tool pin profile and tool shoulder diameter on the formation of friction stir processing zone in AA6061 aluminium alloy. Mater Des 29:362–373. https://doi.org/10.1016/j.matdes.2007.01.030
Kumar K, Kailas SV (2008) The role of friction stir welding tool on material flow and weld formation. Mater Sci Eng A 485:367–374. https://doi.org/10.1016/j.msea.2007.08.013
Fratini L, Buffa G, Micari F, Shivpuri R (2009) On the material flow in FSW of T-joints: Influence of geometrical and tecnological parameters. Int J Adv Manuf Technol 44:570–578. https://doi.org/10.1007/s00170-008-1836-3
Biswas P, Mandal NR (2011) Effect of tool geometries on thermal history of FSW of AA1100. Weld J 90:129s–135s
Ramanjaneyulu K, Madhusudhan Reddy G, Venugopal Rao A, Markandeya R (2013) Structure-property correlation of AA2014 friction stir welds: role of tool pin profile. J Mater Eng Perform 22:2224–2240. https://doi.org/10.1007/s11665-013-0512-4
Ramanjaneyulu K, Madhusudhan Reddy G, Venugopal Rao A (2014) Role of tool shoulder diameter in friction stir welding: an analysis of the temperature and plastic deformation of AA 2014 aluminium alloy. Trans Indian Inst Met 67:769–780. https://doi.org/10.1007/s12666-014-0401-z
Meshram SD, Reddy GM, Rao AV (2016) Role of threaded tool pin profile and rotational speed on generation of defect free friction stir AA 2014 aluminium alloy welds. Def Sci J 66:57–63. https://doi.org/10.14429/dsj.66.8566
Meshram SD, Madhusudhan Reddy G (2018) Influence of tool tilt angle on material flow and defect generation in friction stir welding of AA2219. Def Sci J 68:512–518. https://doi.org/10.14429/dsj.68.12027
Xu S, Deng X, Reynolds AP, Seidel TU (2001) Finite element simulation of material flow in friction stir welding. Sci Technol Weld Join 6:191–193. https://doi.org/10.1179/136217101101538640
Schmidt H, Hattel J, Wert J (2004) An analytical model for the heat generation in friction stir welding. Model Simul Mater Sci Eng 12:143–157. https://doi.org/10.1088/0965-0393/12/1/013
Seidel TU, Reynolds AP (2001) Visualization of the material flow in AA2195 friction-stir welds using a marker insert technique. Metall Mater Trans A 32A:2879–2884. https://doi.org/10.1007/s11661-001-1038-1
Seidel TU, Reynolds AP (2003) Two-dimensional friction stir welding process model based on fluid mechanics. Sci Technol Weld Join 8:175–183. https://doi.org/10.1179/136217103225010952
Chen CM, Kovacevic R (2003) Finite element modeling of friction stir welding - thermal and thermomechanical analysis. Int J Mach Tools Manuf 43:1319–1326. https://doi.org/10.1016/S0890-6955(03)00158-5
Zhu XK, Chao YJ (2004) Numerical simulation of transient temperature and residual stresses in friction stir welding of 304L stainless steel. J Mater Process Technol 146:263–272. https://doi.org/10.1016/j.jmatprotec.2003.10.025
Chao YJ, Qi X, Tang W (2003) Heat transfer in friction stir welding - experimental and numerical studies. J Manuf Sci Eng 125:138–145. https://doi.org/10.1115/1.1537741
Zhang HW, Zhang Z, Chen JT (2005) The finite element simulation of the friction stir welding process. Mater Sci Eng A 403:340–348. https://doi.org/10.1016/j.msea.2005.05.052
Nandan R, Roy GG, Debroy T (2006) Numerical simulation of three-dimensional heat transfer and plastic flow during friction stir welding. Metall Mater Trans A 37A:1247–1259. https://doi.org/10.1007/s11661-006-1076-9
Nandan R, Roy GG, Lienert TJ, Debroy T (2006) Numerical modelling of 3D plastic flow and heat transfer during friction stir welding of stainless steel. Sci Technol Weld Join 11:526–537. https://doi.org/10.1179/174329306X107692
Buffa G, Hua J, Shivpuri R, Fratini L (2006) A continuum based fem model for friction stir welding - model development. Mater Sci Eng A 419:389–396. https://doi.org/10.1016/j.msea.2005.09.040
Buffa G, Hua J, Shivpuri R, Fratini L (2006) Design of the friction stir welding tool using the continuum based FEM model. Mater Sci Eng A 419:381–388. https://doi.org/10.1016/j.msea.2005.09.041
Khandkar MZH, Khan JA, Reynolds AP, Sutton MA (2006) Predicting residual thermal stresses in friction stir welded metals. J Mater Process Technol 174:195–203. https://doi.org/10.1016/j.jmatprotec.2005.12.013
Bastier A, Maitournam MH, Dang Van K, Roger F (2006) Steady state thermomechanical modelling of friction stir welding. Sci Technol Weld Join 11:278–288. https://doi.org/10.1179/174329306X102093
Grujicic M, He T, Arakere G et al (2010) Fully coupled thermomechanical finite element analysis of material evolution during friction-stir welding of AA5083. Proc Inst Mech Eng Part B J Eng Manuf 224:609–625. https://doi.org/10.1243/09544054JEM1750
Grujicic M, Pandurangan B, Yen CF, Cheeseman BA (2012) Modifications in the AA5083 Johnson-Cook material model for use in friction stir welding computational analyses. J Mater Eng Perform 21:2207–2217. https://doi.org/10.1007/s11665-011-0118-7
Grujicic M, Arakere G, Pandurangan B et al (2012) Computational analysis of material flow during friction stir welding of AA5059 aluminum alloys. J Mater Eng Perform 21:1824–1840. https://doi.org/10.1007/s11665-011-0069-z
Mohanty H, Mahapatra MM, Kumar P et al (2012) Study on the effect of tool profiles on temperature distribution and material flow characteristics in friction stir welding. Proc Inst Mech Eng Part B J Eng Manuf 226:1527–1535. https://doi.org/10.1177/0954405412451811
Al-Badour F, Merah N, Shuaib A, Bazoune A (2013) Coupled Eulerian Lagrangian finite element modeling of friction stir welding processes. J Mater Process Technol 213:1433–1439. https://doi.org/10.1016/j.jmatprotec.2013.02.014
Hamilton C, Kopyściański M, Senkov O, Dymek S (2013) A coupled thermal/material flow model of friction stir welding applied to Sc-modified aluminum alloys. Metall Mater Trans A Phys Metall Mater Sci 44:1730–1740. https://doi.org/10.1007/s11661-012-1512-y
Jain R, Pal SK, Singh SB (2016) A study on the variation of forces and temperature in a friction stir welding process: a finite element approach. J Manuf Process 23:278–286. https://doi.org/10.1016/j.jmapro.2016.04.008
Kadian AK, Biswas P (2017) Effect of tool pin profile on the material flow characteristics of AA6061. J Manuf Process 26:382–392. https://doi.org/10.1016/j.jmapro.2017.03.005
Sahlot P, Singh AK, Badheka VJ, Arora A (2019) Friction stir welding of copper: numerical modeling and validation. Trans Indian Inst Met. https://doi.org/10.1007/s12666-019-01629-9
Tiwari A, Pankaj P, Suman S, Biswas P (2020) CFD modelling of temperature distribution and material flow investigation during FSW of DH36 shipbuilding grade steel. Trans Indian Inst Met 73:2291–2307. https://doi.org/10.1007/s12666-020-02030-7
Pandian V, Kannan S (2020) Numerical prediction and experimental investigation of aerospace-grade dissimilar aluminium alloy by friction stir welding. J Manuf Process 54:99–108. https://doi.org/10.1016/j.jmapro.2020.03.001
Vicharapu B, Liu H, Fujii H et al (2020) Probing residual stresses in stationary shoulder friction stir welding process. Int J Adv Manuf Technol 106:1573–1586. https://doi.org/10.1007/s00170-019-04570-9
Kesharwani R, Imam M, Sarkar C (2021) Effect of flat probe on local heat generation and microstructural evolution in friction stir welding of 6061-T6 aluminium alloy. Trans Indian Inst Met 74:3185–3203. https://doi.org/10.1007/s12666-021-02386-4
Andrade DG, Leitão C, Dialami N et al (2021) Analysis of contact conditions and its influence on strain rate and temperature in friction stir welding. Int J Mech Sci 191:106095. https://doi.org/10.1016/j.ijmecsci.2020.106095
Su H, Wu CS, Bachmann M, Rethmeier M (2015) Numerical modeling for the effect of pin profiles on thermal and material flow characteristics in friction stir welding. Mater Des 77:114–125. https://doi.org/10.1016/j.matdes.2015.04.012
Shi L, Wu CS (2017) Transient model of heat transfer and material flow at different stages of friction stir welding process. J Manuf Process 25:323–339. https://doi.org/10.1016/j.jmapro.2016.11.008
Chen J, Shi L, Wu C, Jiang Y (2021) The effect of tool pin size and taper angle on the thermal process and plastic material flow in friction stir welding. Int J Adv Manuf Tech 116:2847–2860. https://doi.org/10.1007/s00170-021-07650-x
Jaidi J, Dutta P (2001) Modeling of transport phenomena in a gas metal arc welding process. Numer Heat Transf Part A Appl 40:543–562. https://doi.org/10.1080/10407780152619838
COMSOL Multiphysics (2015) Heat transfer module. © 1998–2018 Comsol 1–222. https://doc.comsol.com/5.4/doc/com.comsol.help.heat/HeatTransferModuleUsersGuide.pdf. Accessed May 2023
Schmidt HB, Hattel JH (2007) Thermal and material flow modelling of friction stir welding using COMSOL. Excerpt from the Proceedings of the COMSOL Conference Hannover. https://www.comsol.com/paper/download/37785/Schmidt.pdf. Accessed May 2023
Bachmann M, Carstensen J, Bergmann L et al (2017) Numerical simulation of thermally induced residual stresses in friction stir welding of aluminum alloy 2024-T3 at different welding speeds. Int J Adv Manuf Technol 91:1443–1452. https://doi.org/10.1007/s00170-016-9793-8
Colegrove PA, Shercliff HR (2004) Development of Trivex friction stir welding tool part 2 - three-dimensional flow modelling. Sci Technol Weld Join 9:352–361. https://doi.org/10.1179/136217104225021661
Li Q, Wu AP, Li YJ et al (2017) Segregation in fusion weld of 2219 aluminum alloy and its influence on mechanical properties of weld. Trans Nonferrous Met Soc China (English Ed) 27:258–271. https://doi.org/10.1016/S1003-6326(17)60030-X
Manikandan P, Prabhu TA, Manwatkar SK et al (2021) Tensile and fracture properties of aluminium alloy AA2219-T87 friction stir weld joints for aerospace applications. Metall Mater Trans A Phys Metall Mater Sci 52:3759–3776. https://doi.org/10.1007/s11661-021-06337-y
Kang J, Feng ZC, Frankel GS et al (2016) Friction stir welding of Al alloy 2219-T8: part I-evolution of precipitates and formation of abnormal Al2Cu agglomerates. Metall Mater Trans A 47A:4553–4565. https://doi.org/10.1007/s11661-016-3648-7
Funding
The present work was supported by the grant received from the Aeronautics Research and Development Board (AR&DB), Ministry of Science and Technology, Government of India (project no. ARDB/01/2032007/M/I).
Author information
Authors and Affiliations
Contributions
All authors contributed to the study conception and design. Model development, simulations, and analysis were done by Ramana Murthy Bagadi and Jeevan Jaidi. The first draft of the manuscript was written by Ramana Murthy Bagadi and Jeevan Jaidi and subsequently revised by Atmakur Venugopal Rao, and Suresh Dadulal Meshram. All authors read and approved the final manuscript.
Corresponding author
Ethics declarations
Conflict of interest
The authors declare no competing interests.
Additional information
Publisher’s Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
About this article
Cite this article
Bagadi, R.M., Jaidi, J., Rao, A.V. et al. Tool-pin profile effects on thermal and material flow in friction stir butt welding of AA2219-T87 plates: computational fluid dynamics model development and study. Int J Adv Manuf Technol 131, 5881–5896 (2024). https://doi.org/10.1007/s00170-024-13353-w
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00170-024-13353-w