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Issue Eur. Phys. J. Appl. Phys.
Volume 44, Number 3, December 2008
Page(s) 317 - 322
Section Physics and Mechanics of Fluids, Microfluidics
DOI 10.1051/epjap:2008177
Published online 24 October 2008

Eur. Phys. J. Appl. Phys. 44, 317-322 (2008)
DOI: 10.1051/epjap:2008177

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

S. Slama1, J. Bessrour1, K. Boubaker2 and M. Bouhafs1

1  UR Mécanique Appliquée, Ingénierie et Industrialisation (MA2I), ENIT, Tunisia
2  ESSTT, 63 rue Sidi Jabeur, 5100 Mahdia, Tunisia

boubaker_karem@yahoo.com

Received: 12 April 2008 / Received in final form: 26 August 2008 / Accepted: 29 August 2008 / Published online: 24 October 2008

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

PACS
81.20.Vj - Joining; welding.
07.20.Dt - Thermometers.
44.35.+c - Heat flow in multiphase systems.
44.05.+e - Analytical and numerical techniques.

© EDP Sciences 2008


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