Prevention of solidification cracking during pulsed laser beam welding

We present a mathematical model to describe laser beam welding based on the heat equation. Since the material coefficients depend on the temperature, this leads to a quasi‐linear parabolic partial differential equation. It is our goal to prevent solidification cracking. We address this problem by me...

Full description

Saved in:
Bibliographic Details
Published in:Proceedings in applied mathematics and mechanics 2017-12, Vol.17 (1), p.405-406
Main Authors: Bergmann, Jean Pierre, Bielenin, Martin, Herzog, Roland A., Hildebrand, Jörg, Riedel, Ilka, Schricker, Klaus, Trunk, Carsten, Worthmann, Karl
Format: Article
Language:English
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:We present a mathematical model to describe laser beam welding based on the heat equation. Since the material coefficients depend on the temperature, this leads to a quasi‐linear parabolic partial differential equation. It is our goal to prevent solidification cracking. We address this problem by means of optimal control. It is the intensity profile of the laser beam which acts as the control function. The main challenge is the formulation of a suitable objective function. In particular, high velocities of the solidification interface need to be properly penalized in order to deal with and avoid cracking phenomena. (© 2017 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)
ISSN:1617-7061
1617-7061
DOI:10.1002/pamm.201710172