Abstract

Induction hardening is a heat treatment that has been increasingly employed in the industry in recent years. It is a complex, highly coupled, and multiphysical process involving electromagnetism, thermal, mechanical, and metallurgical physics. One of the main quality requirements of the process is the hardened case depth generated in the workpiece. The usual method to measure the hardened case and ensure the quality of the parts is to use destructive techniques, which generate material and energy waste and production inefficiencies. Additionally, selecting process parameters such as current, frequency, or scanning speed typically requires several trial-and-error iterations. The goal of this work is to provide a hybrid digital twin (DT) that acts as a nondestructive test technique, predicting the resulting hardened case in real-time and enabling the correction of process parameters during the induction hardening process, ultimately achieving a zero-waste manufacturing scheme. For this purpose, a DT based on an artificial neural network (ANN) model is developed, predicting the hardened case depth in real-time using four monitored input variables: induction frequency, current, and two temperature measurements on the surface of the hardened part. The required data for DT development and training are obtained using a finite element model. Several ANN architectures are evaluated, and the configuration with the best regression results is chosen for implementation in an industrial induction hardening machine. The hardened case predictions obtained from the developed DT demonstrate high accuracy within the analyzed frequency and current range.

References

1.
Labaran
Y. H.
,
Mathur
V. S.
,
Muhammad
S. U.
, and
Musa
A. A.
, “
Carbon Footprint Management: A Review of Construction Industry
,”
Cleaner Engineering and Technology
9
(August
2022
): 100531, https://doi.org/10.1016/j.clet.2022.100531
2.
Quercio
M.
,
Poskovic
E.
,
Franchini
F.
,
Fracchia
E.
,
Ferraris
L.
,
Canova
A.
,
Tenconi
A.
,
Tiismus
H.
, and
Kallaste
A.
, “
Application of Active Thermography for the Study of Losses in Components Produced by Laser Powder Bed Fusion
,”
Journal of Magnetism and Magnetic Materials
592
(February
2024
): 171796, https://doi.org/10.1016/j.jmmm.2024.171796
3.
Zimermann
R.
,
Mohseni
E.
,
Foster
E. A.
,
Vasilev
M.
,
Loukas
C.
,
Vithanage
R. K. W.
,
Macleod
C. N.
, et al., “
In-Process Non-destructive Evaluation of Metal Additive Manufactured Components at Build Using Ultrasound and Eddy-Current Approaches
,”
Journal of Manufacturing Processes
107
(December
2023
):
549
558
, https://doi.org/10.1016/j.jmapro.2023.10.063
4.
Rudnev
V.
,
Loveless
D.
, and
Cook
R. L.
,
Handbook of Induction Heating
(Boca Raton, FL: CRC Press,
2017
), https://doi.org/10.1201/9781315117485
5.
Rudnev
V. I.
and
Loveless
D.
, “
Induction Hardening: Technology, Process Design, and Computer Modeling
,”
Comprehensive Materials Processing
12
(
2014
):
489
580
, https://doi.org/10.1016/B978-0-08-096532-1.01217-6
6.
Jianliang
S.
,
Shuo
L.
,
Chouwu
Q.
, and
Yan
P.
, “
Numerical and Experimental Investigation of Induction Heating Process of Heavy Cylinder
,”
Applied Thermal Engineering
134
(April
2018
):
341
352
, https://doi.org/10.1016/j.applthermaleng.2018.01.101
7.
Simsir
C.
, “
Modeling and Simulation of Steel Heat Treatment — Prediction of Microstructure, Distortion, Residual Stresses, and Cracking
,” in
Steel Heat Treating Technologies
, ed.
Dossett
J. L.
and
Totten
G. E.
(Materials Park, OH:
ASM International
,
2014
),
409
466
, https://doi.org/10.31399/asm.hb.v04b.a0005950
8.
Bay
F.
,
Labbe
V.
,
Favennec
Y.
, and
Chenot
J. L.
, “
A Numerical Model for Induction Heating Processes Coupling Electromagnetism and Thermomechanics
,”
International Journal for Numerical Methods in Engineering
58
, no. 
6
(October
2003
):
839
867
, https://doi.org/10.1002/nme.796
9.
Kennedy
M. W.
,
Akhtar
S.
,
Bakken
J. A.
, and
Aune
R. E.
, “
Analytical and Experimental Validation of Electromagnetic Simulations Using COMSOL, re Inductance, Induction Heating and Magnetic Fields
” (paper presentation, the 2011 COMSOL Conference, Stuttgart, Germany, October 26–28,
2011
).
10.
Zhang
X.
,
Chen
C.
, and
Liu
Y.
, “
Numerical Analysis and Experimental Research of Triangle Induction Heating of the Rolled Plate
,”
Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science
231
, no. 
5
(March
2017
):
844
859
, https://doi.org/10.1177/0954406215623812
11.
Zabett
A.
and
Mohamadi Azghandi
S. H.
, “
Simulation of Induction Tempering Process of Carbon Steel Using Finite Element Method
,”
Materials & Design
36
(April
2012
):
415
420
, https://doi.org/10.1016/j.matdes.2011.10.052
12.
Schlesselmann
D.
,
Nacke
B.
,
Nikanorov
A.
, and
Galunin
S.
,
“Coupled Numerical Multiphysics Simulation Methods in Induction Surface Hardening,” in
Coupled Problems 2015: Proceedings of the Sixth International Conference on Coupled Problems in Science and Engineering
(
Barcelona, Spain
:
International Center for Numerical Methods in Engineering
,
2015
),
392
403
.
13.
Areitioaurtena
M.
,
Segurajauregi
U.
,
Akujarvi
V.
,
Fisk
M.
,
Urresti
I.
, and
Ukar
E.
, “
A Semi-analytical Coupled Simulation Approach for Induction Heating
,”
Advanced Modeling and Simulation in Engineering Sciences
8
(
2021
): 14, https://doi.org/10.1186/s40323-021-00199-0
14.
Jones
D.
,
Snider
C.
,
Nassehi
A.
,
Yon
J.
, and
Hicks
B.
, “
Characterising the Digital Twin: A Systematic Literature Review
,”
CIRP Journal of Manufacturing Science and Technology
29
, Part A (May
2020
):
36
52
, https://doi.org/10.1016/j.cirpj.2020.02.002
15.
Chinesta
F.
,
Cueto
E.
,
Abisset-Chavanne
E.
,
Duval
J. L.
, and
Khaldi
F. E.
, “
Virtual, Digital and Hybrid Twins: A New Paradigm in Data-Based Engineering and Engineered Data
,”
Archives of Computational Methods in Engineering
27
, no. 
1
(January
2020
):
105
134
, https://doi.org/10.1007/s11831-018-9301-4
16.
Li
H.
,
Shi
X.
,
Wu
B.
,
Corradi
D. R.
,
Pan
Z.
, and
Li
H.
, “
Wire Arc Additive Manufacturing: A Review on Digital Twinning and Visualization Process
,”
Journal of Manufacturing Processes
116
(April
2024
):
293
305
, https://doi.org/10.1016/j.jmapro.2024.03.001
17.
Catti
P.
,
Nikolakis
N.
,
Sipsas
K.
,
Picco
N.
, and
Alexopoulos
K.
, “
A Hybrid Digital Twin Approach for Proactive Quality Control in Manufacturing
,”
Procedia Computer Science
232
(
2024
):
3083
3091
, https://doi.org/10.1016/j.procs.2024.02.124
18.
Hürkamp
A.
,
Gellrich
S.
,
Ossowski
T.
,
Beuscher
J.
,
Thiede
S.
,
Herrmann
C.
, and
Dröder
K.
, “
Combining Simulation and Machine Learning as Digital Twin for the Manufacturing of Overmolded Thermoplastic Composites
,”
Journal of Manufacturing and Materials Processing
4
, no. 
3
(September
2020
): 92, https://doi.org/10.3390/jmmp4030092
19.
Asadzadeh
M. Z.
,
Raninger
P.
,
Prevedel
P.
,
Ecker
W.
, and
Mücke
M.
, “
Hybrid Modeling of Induction Hardening Processes
,”
Applications in Engineering Science
5
(March
2021
): 100030, https://doi.org/10.1016/j.apples.2020.100030
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