Hostname: page-component-848d4c4894-pjpqr Total loading time: 0 Render date: 2024-06-24T23:16:29.346Z Has data issue: false hasContentIssue false
  • English
  • Français

A dynamical model for investigation of A3 point maximal spatial evolution during resistance spot welding using Boubaker polynomials

Published online by Cambridge University Press:  24 October 2008

S. Slama ,
J. Bessrour ,
K. Boubaker  and
M. Bouhafs
S. Slama
Affiliation:
UR Mécanique Appliquée, Ingénierie et Industrialisation (MA2I), ENIT, Tunisia
J. Bessrour
Affiliation:
UR Mécanique Appliquée, Ingénierie et Industrialisation (MA2I), ENIT, Tunisia
K. Boubaker*
Affiliation:
ESSTT, 63 rue Sidi Jabeur, 5100 Mahdia, Tunisia
M. Bouhafs
Affiliation:
UR Mécanique Appliquée, Ingénierie et Industrialisation (MA2I), ENIT, Tunisia
*
boubaker_karem@yahoo.com
Get access

Abstract

This paper presents a dynamical non linear model of the spatial time-dependant evolution of A3 point during a particular sequence of resistance spot welding in steel material. The model is based on a solution to the heat equation, expressed in cylindrical coordinates inside the joint area, and when the source term is attributed to the electrical power. By the mean of the steel binary Fe–C diagram and the deduced t-dependant temperature rise profile, an estimation of the A3 point spatial range date is given and compared to further results. The obtained temperature profile is yielded, taking into account main parameters variations, as a guide to non-destructive protocols and thermal characteristics investigation

Keywords

Type
Research Article
Information
The European Physical Journal - Applied Physics , Volume 44 , Issue 3 , December 2008 , pp. 317 - 322
Copyright
© EDP Sciences, 2008

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Tsai, C.L., Jammal, O.A., Papritan, J.C., Weld. J. 71, 47 (1992)
Zhang, H., Hu, S.J., Senkara, J., Cheng, S., ASME J. Manuf. Sci. Eng. 123, 513 (2001)
Wei, P.S., Ho, C.Y., ASME J. Heat Transfer 112, 309 (1990) CrossRef
Khan, J.A., Xu, L., Chan, Y.J., Sci. Technol. Weld. Join. 4, 201 (1999) CrossRef
Wei, L., Cerjanec, D., Grzadzinski, G.A., J. Manuf. Sci. Eng. 127, 583 (2005)
K.T. Andrews, L. Guessous, S. Nassar, S.V. Putta, M. Shillor, J. Appl. Math., 1 (2006)
Zhou, Y., Gorman, P., Tan, W., Ely, K.J., J. Electron. Mater. 29, 1090 (2000) CrossRef
De, A., Momeni, K., Thaddeus, M.P., Dorn, L., J. Manuf. Sci. Eng. 128, 668 (2006) CrossRef
Li, Y.B., Hu, S.J., Chen, G.L., Lin, Z.Q., J. Appl. Phys. 101, 053506 (2007) CrossRef
Boubaker, K., Eur. Phys. J. Appl. Phys. 28, 249 (2004) CrossRef
OTPDA, Les Polynômes de Boubaker, Dépôt légal No. 21-01-04-04-2007, Tunisia
K. Boubaker, Trends in Applied Science Research, Vol. 2 (by Academic Journals, `aj' NY, 2007), p. 540
Labiadh, H., Boubaker, K., J. Diff. Eq. & C.P. 2, 117 (2007)
Labiadh, H., Dada, M., Awojoyogbe, O.B., Boubaker, K., Ben Mahmoud, K.B., J. Diff. Eq. & C.P. 1, 51 (2008)
Wu, X.Y., Appl. Numerical Math. Archive 44, 415 (2003) CrossRef
Chuko, W.L., Gould, J.E., Weld. J. 1, 1 (2002)
Markiewicz, E., Drazétic, P., Mécanique & Industries 4, 17 (2003) CrossRef
Ben Rhima, A., Bessrour, J., Bouhafs, M., Khadrani, R., Int. J. Therm. Sci. 42, 759 (2003) CrossRef
J. Bessrour, M. Bouhafs, R. Khadrani, M. Jemmali, Revue Int. J. Therm. Sci. 41 (2002)