Optimal beam forming for laser materials processing

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wias_preprints_3080.pdf (2.38 MB)

Date

2023

Authors

Editor

Advisor

Volume

3080

Issue

Journal

Series Titel

WIAS Preprints

Book Title

Publisher

Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik

Supplementary Material

Other Versions

https://doi.org/10.20347/WIAS.PREPRINT.3080

Link to publishers' Version

https://doi.org/10.20347/WIAS.PREPRINT.3080

Abstract

We investigate an optimal control problem related to laser material treatments such as welding, remelting, hardening, or the 3D printing of metal components. The mathematical model leads to the investigation of a quasilinear elliptic state system with additional non-monotone lower-oder terms. We analyze the state system, derive first order optimality conditions and show first results for beam shaping.

Description

Keywords

Quasi-linear elliptic equation, transport dominated PDE, additive manufacturing, selective laser, melting, finite element method, simulation

Keywords GND

Conference

Publication Type

Report

Version

publishedVersion

URI

https://oa.tib.eu/renate/handle/123456789/33708
 https://doi.org/10.34657/32776

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Mathematik
WIAS Preprints

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This document may be downloaded, read, stored and printed for your own use within the limits of § 53 UrhG but it may not be distributed via the internet or passed on to external parties.
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