Heat distribution in electric hot incremental sheet forming

  • P. A. P. PachecoEmail author
  • M. E. Silveira
  • J. A. Silva


Electric hot incremental sheet forming (EHISF) is a technique based on the use of electric current to heat the metal sheet, it consists of a source of direct current (transformer), cables, tool, and plate constituting a closed circuit. According to Joule’s law, when the current travels from the tool to the plate, the current density generates heat. It is known that the mechanical and metallurgical proprieties of the materials are highly influenced by the temperature. Then it is important to know how the distribution of heat near the mobile heat source occurs. Recently, some researchers have suggested different techniques for calculating heat distribution as a function of a mobile source. In this paper, it discusses the temperature distributions when the source moves in relation to the conductive medium, comparing the equation proposal by Bejan the numerical simulation using an explicit finite element method, which has a suitable formulation for inserting the effects of temperature and strain rate in the material. The results show that for the conditions evaluated the model proposed by Bejan (Eq. 4) is very close to the results obtained by the numerical simulation. Moreover, as EHISF is a process with large deformations and time-consuming, it would be necessary to include the terms of the energy of plastic deformation (E) and also the loss by convection to better represent the distribution of heat in the plate.


EHISF Numerical simulation Heat distribution 


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© Springer-Verlag London Ltd., part of Springer Nature 2019

Authors and Affiliations

  • P. A. P. Pacheco
    • 1
    Email author
  • M. E. Silveira
    • 2
  • J. A. Silva
    • 2
  1. 1.Federal Institute of Southeast of MGSantos DumontBrazil
  2. 2.Federal University of São João del ReiSão João del ReiBrazil

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