Title: Numerical analysis of computational models for induction heat treatment of complex geometrical parts

Authors: Steffen Klonk; François Bay

Addresses: Mines ParisTech – Centre de Mise en Forme des Matériaux (CEMEF), BP 207, 1 rue Claude Daunesse, 06904 Sophia Antipolis cedex, France ' Mines ParisTech – Centre de Mise en Forme des Matériaux (CEMEF), BP 207, 1 rue Claude Daunesse, 06904 Sophia Antipolis cedex, France

Abstract: Large scale industrial induction heating models require economical and robust computational methods. There is an increasing demand for efficient models for use in optimisation procedures, where a large number of parameter combinations must be solved. The goal of this work is to demonstrate that the multiphysics model of induction heating can efficiently be described by a weak coupling of the eddy current model with heat transfer and material evolution to derive a numerical model that is both robust and scalable. The solution of the electromagnetic problem is accelerated by using an auxiliary multigrid method. It will be demonstrated that the numerical convergence is mostly unaffected by discontinuities of the magnetic permeability, which can, for instance, be found at material boundary interfaces. A crankshaft will be used as an example for the broad class of problems that can be described by this induction heating model.

Keywords: induction heat treatment; auxiliary space preconditioning; algebraic multigrid; edge finite elements; computational models; multiphysics modelling; complex geometrical parts; numerical simulation; crankshaft; eddy current; heat transfer; material evolution; finite element discretisation.

DOI: 10.1504/IJMMP.2016.078050

International Journal of Microstructure and Materials Properties, 2016 Vol.11 No.1/2, pp.48 - 70

Received: 06 Jun 2015
Accepted: 07 Dec 2015
Published online: 31 Jul 2016 *

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