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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
*
[email protected]
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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

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