New Methods for Numerical Simulation of Welding of Large Thin Structures
Keywords:
welding, finite element, shell element, adaptive refinement, local/global approachAbstract
Welding of thin structures often leads to distortions that must be controlled. Whereas numerical simulation of small structures is relatively easy, severe difficulties are encountered in the simulation of large ones. Indeed the mesh must be considerably refined in the heat affected zone, and this leads to huge simulations and prohibitive computation times. Three alternative methods are presented here to circumvent this problem. The first one consists of using only shell elements. The second method consists of using shell elements far from the heat source and a mobile local 3D mesh close to it. The third method is a “local/global” approach which consists of first performing a local 3D simulation of a short portion of the welding bead, and then introducing inelastic strains into some global shell simulation of the full structure. These methods are critically assessed by comparing their results to those of a full 3D simulation in the typical case of a welded plate.
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References
Annual Book of ASTM Standard, 1991.
Bergheau J.M., Vincent Y., Leblond J.B., Jullien J.F., “Viscoplastic behavior of steels during
welding”, To appear in Science and Technology of Welding and Joining, 2004.
Dong Y., Hong J.K., Tsai C.L., Dong P., “Finite element modeling of residual stresses in
austenitic stainless steel pipe girth welds”, Welding Journal, Vol. 76, p. 442s-449s, 1997.
Greenwood G.W., Johnson R. H., “The deformation of metal under small stresses during
phase transformation”, Proceedings of the Royal Society, Vol. A 283, p. 403-422, 1965.
Gu M., Goldak J. A., “Mixing thermal shell and brick elements in FEA of welds”.
Proceedings of OMAE 1991 Conference, Vol. III-A, Materials Engineering, ASME,
Hughes T.J.R., Tezduyar T.E., “Finite elements based upon Mindlin plate theory with
particular reference to the four-node bilinear isoparametric element”, ASME Journal of
Applied Mechanics, Vol. 48, p. 587-596, 1981.
Leblond J.B., Devaux J., “A new kinetic model for anisothermal metallurgical
transformations in steels including effect of austenite grain size”, Acta Metallurgica,
Vol. 32, p. 137-146, 1984.
Leblond J.B., Devaux J., Devaux J.C., “Mathematical modelling of transformation plasticity
in steels. I. Case of ideal-plastic phases”, International Journal of Plasticity, Vol. 5,
p. 551-572, 1989.
Leblond J.B., “Mathematical modelling of transformation plasticity in steels. II. Coupling
with strain hardening phenomena”, International Journal of Plasticity, Vol. 5, p. 573-
, 1989.
Lindgren L.E., “Modelling for residual stresses and deformations due to welding – ‘Knowing
what is not necessary to know’”, Mathematical Modelling of Weld Phenomena, Vol. 6,
p. 491-518, 2002.
Lindgren L.E., Karlsson L., “Deformations and stresses in welding of shell structures”,
International Journal for Numerical methods in Engineering, Vol. 25, p. 635-655, 1988
Magee C.L., Transformation kinetics, microplasticity and aging of martensite in Fe-31 Ni,
Ph.D. Thesis, Carnegie Institute of Technology, Pittsburgh, USA, 1966.
Nasstrom M., Wikander L., Karlson L., Lindgren L.E., “Combined 3-D and shell modelling
of welding”, Mechanical effects of welding – IUTAM Symposium, p. 197-206, Lulea,
Sweden, 1991.
Rubin M.B., “Heat conduction in plates and shells with emphasis on a conical shell”,
International Journal of Solids and Structures, Vol. 22, p. 527-551, 1986.
Souloumiac B., Boitout F., Bergheau J.M., “A new local-global approach for the modelling of
welded with steel component distortions”, Mathematical Modelling of Weld Phenomena,
Vol. 6, p. 573-590, 2002.
Surana K.S., Abusaleh G., “Curved shell elements for heat conduction with p-approximation
in the shell thickness direction”, Computers and Structures, Vol. 34, p. 861-880, 1990.
Surana K.S., Phillips R. K., “Three dimensional curved shell finite elements for heat
conduction”, Computers and Structures, Vol. 25, p. 775-785, 1987.
SYSWELD 2002, User’s Manual, Engineering Systems International.
Vincent Y., Simulation numérique des conséquences métallurgiques et mécaniques induites
par une opération de soudage – Acier 16MND5, Ph.D. Thesis, INSA Lyon, 2002.
Vincent Y., Bergheau J.M., Leblond J.B., “Viscoplastic behaviour of steels during phase
transformations”, Comptes-Rendus Mécanique, Vol. 331, p. 587-594, 2003.
Voldoire F., Andrieux S., « Modèle de thermique pour les coques minces », Code Aster,
Version 2.6, p. 1-46, 1993.
Waeckel F., Une loi de comportement thermo-métallurgique des aciers pour le calcul
mécanique des structures, Ph.D. Thesis, ENSAM, Paris, France, 1994.