Abstract
The aim of this work is to introduce a thermo-electromagnetic model for calculating the temperature and the power dissipated in cylindrical pieces whose geometry varies with time and undergoes large deformations; the motion will be a known data. The work will be a first step towards building a complete thermo-electromagnetic-mechanical model suitable for simulating electrically assisted forming processes, which is the main motivation of the work. The electromagnetic model will be obtained from the time-harmonic eddy current problem with an in-plane current; the source will be given in terms of currents or voltages defined at some parts of the boundary. Finite element methods based on a Lagrangian weak formulation will be used for the numerical solution. This approach will avoid the need to compute and remesh the thermo-electromagnetic domain along the time. The numerical tools will be implemented in FEniCS and validated by using a suitable test also solved in Eulerian coordinates.
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Open Access funding provided thanks to the CRUE-CSIC agreement with Springer Nature. The research has been developed in collaboration with CIE Galfor through a project granted by the Centre for the Development of Industrial Technology (CDTI) and signed between the company CIE Galfor and Itmati (nowadays, integrated in CITMAga). This work has been partially supported by FEDER, Ministerio de Economía, Industria y Competitividad-AEI research project PID2021-122625OBI00 and by Xunta de Galicia (Spain) research project GRC GI-1563 ED431C 2021/15.
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Benítez, M., Bermúdez, A., Fontán, P. et al. A Lagrangian approach for solving an axisymmetric thermo-electromagnetic problem. Application to time-varying geometry processes. Adv Comput Math 50, 45 (2024). https://doi.org/10.1007/s10444-024-10121-y
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DOI: https://doi.org/10.1007/s10444-024-10121-y