Numerical simulation of high-frequency induction welding in longitudinal welded tubes
Authors
- Asperheim, John Inge
- Das, Prerana
ORCID: 0000-0001-6040-0311 - Grande, Bjørnar
- Hömberg, Dietmar
ORCID: 0000-0001-9460-5729 - Petzold, Thomas
2010 Mathematics Subject Classification
- 35K05 35Q61 65N30
Keywords
- Simulation, multi-field problem, Joule heating, welding
DOI
Abstract
In the present paper the high-frequency induction (HFI) welding process is studied numerically. The mathematical model comprises a harmonic vector potential formulation of the Maxwell equations and a quasi-static, convection dominated heat equation coupled through the joule heat term and nonlinear constitutive relations. Its main novelties are twofold: A new analytic approach permits to compute a spatially varying feed velocity depending on the angle of the Vee-opening and additional spring-back effects. Moreover, a numerical stabilization approach for the finite element discretization allows to consider realistic weld-line speeds and thus a fairly comprehensive three-dimensional simulation of the tube welding process.
Appeared in
- J. Math. Ind., 14 (2024), pp. 10/1- -10/21, DOI 10.1186/s13362-024-00147-8 .
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