Abstract
Induction hardening is one of the most important heat treatments of steel components. This paper presents a mathematical and numerical model developed for a coupled problem of Maxwell’s equations describing the electromagnetic fields, the balance of momentum which determines internal stresses and deformations resulting from thermoelasticity and phase transformation induced plasticity, a rate law to determine the distribution of different phases and the heat equation to determine the temperature distribution in the workpiece. The equations are solved using a finite element method. A good agreement between the simulation results and experiment performed to determine the deformation is observed. In addition, the distribution of residual stresses after the heat treatment is well predicted.
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Acknowledgements
This research is a part of the project MeFreSim (Modeling, Simulation and Optimization of Multi-Frequency Induction Hardening) funded by Bundesministerium für Bildung und Forschung (BMBF). Furthermore we thank our industrial cooperation partners ZF Friedrichshafen AG and Dr. H. Stiele at EFD Induction GmbH for the technical support.
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© 2016 Springer International Publishing Switzerland
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Liu, Q., Petzold, T., Nadolski, D., Pulch, R. (2016). Simulation of Thermomechanical Behavior Subjected to Induction Hardening. In: Bartel, A., Clemens, M., Günther, M., ter Maten, E. (eds) Scientific Computing in Electrical Engineering. Mathematics in Industry(), vol 23. Springer, Cham. https://doi.org/10.1007/978-3-319-30399-4_14
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DOI: https://doi.org/10.1007/978-3-319-30399-4_14
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