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THERMO-MECHANICAL MODELING OF FRICTION STIR WELDING PROCESS VIA AN ITERATIVE MATRIX FREE GMRES DOMAIN DECOMPOSITION TECHNIQUE

Pereyra, S. ; Ares, G. D. ; Blanco, P. J. ; Lombera, G. A. ; Urquiza, S. A. ;

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The friction stir welding (FSW) process consists essentially of a rotating tool, which travels along the joint of two restricted plates. The union results from the frictional heating induced by the tool, which leads to a viscoplastic material flow between the joined plates. A complete analysis of the FSW process requires the solution of a thermo-mechanical coupled problem. Due to the considerably large plastic deformation involved, an Eulerian viscoplastic flow formulation on a fixed domain is usually employed to mathematically describe the problem. Nevertheless, when the details of the tool must be taken into account the symmetry of the problem about the rotation axis of the pin is definitively lost. In this regard, an effective strategy to deal with this difficulty is to attach a rotating domain to the pin. Moreover, an arbitrary Lagrangian-Eulerian (ALE) formulation is used for irregular tool geometries, considering a convenient rotating domain to precisely track the details of the tool surface. The purpose of this work is to implement a domain decomposition technique in order to exploit the advantages of both formulations. Hence, the whole domain is decomposed into two non-overlapping sub-domains in accordance with the particularities of each region. Consequently, a rotating region close to the tool is adopted while a fixed domain surrounding it is considered to appropriately take into account the inlet and outlet boundary conditions. Thereby, a coupling problem on the common boundary to both sub-domains must be solved. In this work a coupling strategy based on an iterative GMRES technique in its matrix free form is adopted. The application of this methodology allows to determine the material flow and temperature field considering the specific details of the tool and welding plates geometries in an efficient and easy to implement manner.

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Palavras-chave: Friction Stir Welding, coupling domains, Matrix free coupling,

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DOI: 10.5151/meceng-wccm2012-19746

Referências bibliográficas
  • [1] Colligan K, “Material flow behavior during friction stir welding of aluminum”. Welding Reserch Supplement. 229-237, 1999.
  • [2] Colegrove P. A., Shercliff H.R., “3-Dimensional CFD modelling of flow round a threaded friction stir welding tool profile”. Journal of Materials Processing Technology. 169, 320- 327, 2005.
  • [3] Johnson W., Kudo H., “The Mechanics of Metal Extrusion”. Manchester University Press. Manchester, United Kingdom, 1962.
  • [4] Saad Y., Schultz M.H., “GMRES: A Generalized Minimal Rresidual Algorithm for solving nonsymmetric linear sistems”. Journal on Scientific and Statistical Computing. 7, 3:856-869, 1986.
  • [5] Santiago D., Pereyra S., Lombera G., Urquiza S., “Analisis de defectos en soldadura por fricción-agitación mediante un modelado 3D”. Mecánica Computacional 25, 2217-2226, 2006.
  • [6] Santiago D., Pereyra S., Lombera G., Urquiza S., “Modelado termomecánico del proceso friction stir welding utilizando la geometr´ia de herramienta real”. Mecánica Computacional. 28, 1673-1688, 2009.
  • [7] Schmidt H.N.B., Dickerson T.L., Hattel J.H., “Material flow in butt friction stir welds in AA2024-T3”. Acta Materialia. 54, 1199-1209, 2006.
  • [8] Seidel T. U., Reynolds A. P., “Visualization of the material flow in AA2195 Frictio Stir Welds using a marker insert technique”. Metallurgical and Materials Transaction A. 32, 2879-2884, 2001.
  • [9] Sheppard T., Wright D. S., “Determination of flow stress: Part 1 constitutive equation for aluminum alloys at elevated temperatures”. Metals Technology. 215, 197
  • [10] Threadgill P. L., Leonard A. J., Shercliff H. R., Withers P. J., “Friction stir welding of aluminium alloys”. International Materials Reviews. 54, 2:49-93, 2009.
  • [11] Ulysse P., “Three-dimensional modeling of the friction stir-welding process”. International Journal of Machine Tools and Manufacture. 42, 1549-1557, 2002.
  • [12] Zienkiewicz O.C., Taylor R.L., “The finite element method. Volume II”. McGraw Hill. 1991.
Como citar:

Pereyra, S.; Ares, G. D.; Blanco, P. J.; Lombera, G. A.; Urquiza, S. A.; "THERMO-MECHANICAL MODELING OF FRICTION STIR WELDING PROCESS VIA AN ITERATIVE MATRIX FREE GMRES DOMAIN DECOMPOSITION TECHNIQUE", p. 4126-4134 . In: In Proceedings of the 10th World Congress on Computational Mechanics [= Blucher Mechanical Engineering Proceedings, v. 1, n. 1]. São Paulo: Blucher, 2014.
ISSN 2358-0828, DOI 10.5151/meceng-wccm2012-19746

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