An Inhomogeneous Model for Laser Welding of Industrial Interest

Carmelo Filippo Munafò, Annunziata Palumbo and Mario Versaci ()
Additional contact information
Carmelo Filippo Munafò: MIFT Department, University of Messina, Viale F. D’Alcontres 31, I-98166 Messina, Italy
Annunziata Palumbo: MIFT Department, University of Messina, Viale F. D’Alcontres 31, I-98166 Messina, Italy
Mario Versaci: DICEAM Department, Mediterranea University, Via Zehender (ex Via Graziella Feo di Vito), I-89122 Reggio Calabria, Italy

Mathematics, 2023, vol. 11, issue 15, 1-25

Abstract: An innovative non-homogeneous dynamic model is presented for the recovery of temperature during the industrial laser welding process of Al-Si 5 % alloy plates. It considers that, metallurgically, during welding, the alloy melts with the presence of solid/liquid phases until total melt is achieved, and afterwards it resolidifies with the reverse process. Further, a polynomial substitute thermal capacity of the alloy is chosen based on experimental evidence so that the volumetric solid-state fraction is identifiable. Moreover, to the usual radiative/convective boundary conditions, the contribution due to the positioning of the plates on the workbench is considered (endowing the model with Cauchy–Stefan–Boltzmann boundary conditions). Having verified the well-posedness of the problem, a Galerkin-FEM approach is implemented to recover the temperature maps, obtained by modeling the laser heat sources with formulations depending on the laser sliding speed. The results achieved show good adherence to the experimental evidence, opening up interesting future scenarios for technology transfer.

Keywords: laser welding; heat transfer; inhomogeneous parabolic model; co-presence of solid–liquid phases; Cauchy–Stefan–Boltzmann boundary conditions; Galerkin-FEM approach (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
https://www.mdpi.com/2227-7390/11/15/3357/pdf (application/pdf)
https://www.mdpi.com/2227-7390/11/15/3357/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:11:y:2023:i:15:p:3357-:d:1207643

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().