Numerical modeling in induction heating for axisymmetric geometries

Chaboudez, C.; Clain, Stéphane; Glardon, Rémy; Mari, Daniele; Rappaz, Jacques; Swierkosz, M.

doi:10.1109/20.560107

Cited by 116 publications

(49 citation statements)

References 20 publications

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“…Chaboudez et al [4,5] described the modeling of axis-symmetric geometries and long work pieces. Mühlbauer et al [6] extended the simulation method to include complex geometries.…”

Section: Design Of the Heating Strategymentioning

confidence: 99%

Development of the heating and forming strategy in compound forging of hybrid steel‐aluminum parts

Behrens

Kosch²

2011

Materialwissenschaft Werkst

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In times of increasing energy costs automotive light weight construction is gaining more importance. The production of hybrid compounds by forging is a promising method for manufacturing functional parts by applying resource-saving process steps. The mechanical properties of these parts can be specifically adapted to the requirements. In compound forging of steel-aluminum parts the two materials need to be heated to different forming temperatures. In this paper, the challenges and their methods for the development of a heating and forming strategy based on different material characteristics are presented.

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“…Chaboudez et al [4,5] described the modeling of axis-symmetric geometries and long work pieces. Mühlbauer et al [6] extended the simulation method to include complex geometries.…”

Section: Design Of the Heating Strategymentioning

confidence: 99%

Development of the heating and forming strategy in compound forging of hybrid steel‐aluminum parts

Behrens

Kosch²

2011

Materialwissenschaft Werkst

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“…Most numerical models use a harmonic approximation to evaluate the electromagnetic ÿeld in the workpiece. This approximation is valid for linear magnetic materials but can become inaccurate when dealing with non-linear magnetic materials [3,4]. Most models do not carry out full coupling between electromagnetism, heat transfer and solid mechanics, but focus only on the electromagnetism=heat transfer coupling.…”

Section: The Various Numerical Modelsmentioning

confidence: 99%

“…The magnetic permeability. The physical parameters involved in the electromagnetic model are the magnetic permeability, which can be deÿned as the derivative of the magnetic induction with respect to the total magnetic ÿeld strength: = @ B =@ H (see References [3,8,9]) and the electrical conductivity, both being strongly dependent on temperature. The relative magnetic permeability can suddenly drop from several hundreds (or even thousands) down to unity when temperature gets close to the Curie temperature T C .…”

Section: Axisymmetrical Conÿgurationsmentioning

confidence: 99%

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A numerical model for induction heating processes coupling electromagnetism and thermomechanics

Bay

Labbe

Favennec

et al. 2003

Numerical Meth Engineering

145

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International audienceThis paper presents a mathematical and numerical model developed for coupling the various physical phenomena (electromagnetic, thermal and mechanical) taking place in axisymmetrical induction heating processes. All three electromagnetic, thermal and mechanical models are time dependent and take full account of the electromagnetic and thermal non-linear effect especially with magnetic materials. The electromagnetic problem is discretized and solved in the workpiece, air and inductors. The heat transfer equation and the mechanical equilibrium equations are solved in the workpiece only, both using a finite element method. The mechanical model can take into account thermoelastic-plastic behaviour for the part. The model has been successfully applied to several cases of induction heating. Comparisons between numerical and experimental results show an excellent agreemen

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“…This is followed by quenching which leads to a change in the crystallographic structure from austenite to martensite and hence to an increased hardness of the tool in a region close to the surface. Most contributions in the literature are concerned with numerical simulations of the inductive heating process (cf., e.g., [2,5,6,9,13,14,17,18,19,22]). The apparatus consists of a copper made coil around the tool as shown in Figure 1.1.…”

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confidence: 99%

Optimal control of inductive heating of ferromagnetic materials

Boyarkin

Hoppe

2013

Russian Journal of Numerical Analysis and Mathematical Modelling

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Abstract. Inductive heating is a technological process where a steel workpiece is surrounded by an electromagnetic coil to which currents at various frequencies and time-varying amplitudes are applied. The amplitudes are considered as the controls and the objective is to heat the workpiece up to a desired temperature profile at the final time of the heating process. The workpiece is then quenched which due to a phase transition in the crystallographic structure of the steel leads to a hardening of the surface of the workpiece. For the inductive heating process, the state equations represent a coupled system of nonlinear partial differential equations consisting of the eddy currents equations in the coil, the workpiece, and the surrounding air, and a heat equation in the workpiece. The nonlinearity stems from the temperature dependent nonlinear material laws for steel both with regard to its electromagnetic and thermal behavior. Following the principle 'Discretize first, then optimize', we consider a semi-discretization in time by the implicit Euler scheme which leads to a discrete-time optimal control problem. We prove the existence of a minimizer for the discrete-time optimal control problem and derive the first order necessary optimality conditions.

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Numerical modeling in induction heating for axisymmetric geometries

Cited by 116 publications

References 20 publications

Development of the heating and forming strategy in compound forging of hybrid steel‐aluminum parts

Development of the heating and forming strategy in compound forging of hybrid steel‐aluminum parts

A numerical model for induction heating processes coupling electromagnetism and thermomechanics

Optimal control of inductive heating of ferromagnetic materials

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