Coupling Nonlinear Magneto‐Thermal Problems in Frequency Domain with the Mechanical Field. Issue 1 (29th August 2019)

• Record Type: Journal Article
• Authors: Roppert, Klaus; Toth, Florian; Kaltenbacher, Manfred
• Other Names: Eberhardsteiner J. guestEditor.; Schöberl M. guestEditor.
• Is Part Of: Proceedings in applied mathematics and mechanics. Volume 19:Issue 1(2019)
• Page Start: n/a
• Page End: n/a
• Publication Date: 2019-08-29
• Subjects: Applied mathematics -- Periodicals; Engineering mathematics -- Periodicals; Mathematical physics -- Periodicals; 519
• DOI: 10.1002/pamm.201900046
• Languages: English
• ISSNs: 1617-7061

Abstract

Abstract: This paper investigates a computationally efficient strategy for simulating induction heating processes, using a multiharmonic ansatz and harmonic balancing for the solution of the nonlinear magnetic eddy current problem in frequency domain. In order to increase the flexibility of the meshing procedure and decrease the number of degrees of freedom, a methodology for nonconforming interfaces and Nédéléc edge elements is presented. The verification of the proposed method is carried out by comparison to the conform (conforming mesh) solution. Furthermore, the results from the eddy current problem are used to simulate the temperature distrubution in a thin steel sheet and compute the resulting stresses.