Use of a Zener Approximation for Heat Transfer Analyses of Quasi One-Dimensional Welding Problems

Abstract:

Most welding methods in use today involve heating and subsequent cooling of the substrates for joining. Not surprisingly, understanding of associated thermal cycles implicit with the various processes has been a key facet of welding research. While the tools are available for sophisticated numerical solutions, much insight can be gained from simplified analytical approaches. A wide range of joining technologies in use today can be addressed by nominal one-dimensional heat transfer analyses. These include, for example, resistance spot, flash-butt, and linear friction welding. In addressing heat transfer problems, the mathematical constructs for heat transfer are analogous to those for mass (diffusion) transfer. Not surprisingly, one dimensional heat transfer problems can be greatly simplified by adapting the Zener approximation from mass transfer. The work described here employs the Zener approximation to address the direct spot welding of aluminum to steel. The Zener approximation is used to understand heat flow progressively from the steel into the aluminum and finally the copper electrodes. The results are used to understand weld morphology and implicit cooling behavior

• Periodical: Materials Science Forum (Volume 941)
• Pages: 2313-2318
• DOI: https://doi.org/10.4028/www.scientific.net/MSF.941.2313
• Online since: December 2018
• Authors: Jerry E. Gould*
• Keywords: Analytical Solutions, Dissimilar Materials Joining, Resistance Spot Welding, Weld Modeling

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