Go to content
UR Home

Shape and topology optimization involving the eigenvalues of an elastic structure: A multi-phase-field approach

URN to cite this document:
urn:nbn:de:bvb:355-epub-477442
DOI to cite this document:
10.5283/epub.47744
Garcke, Harald ; Hüttl, Paul ; Knopf, Patrik
[img]
Preview
License: Creative Commons Attribution 4.0
PDF - Published Version
(359kB)
Date of publication of this fulltext: 02 Aug 2021 15:50


Abstract

A cost function involving the eigenvalues of an elastic structure is optimized using a phase-field approach, which allows for topology changes and multiple materials.We show continuity and differentiability of simple eigenvalues in the phase-field context. Existence of global minimizers can be shown, for which first order necessary optimality conditions can be obtained in generic situations. Furthermore, a combined eigenvalue and compliance optimization is discussed.


Owner only: item control page
  1. Homepage UR

University Library

Publication Server

Contact:

Publishing: oa@ur.de
0941 943 4239

Dissertations: dissertationen@ur.de
0941 943 3904

Research data: daten@ur.de
0941 943 4239

Contact persons