Adaptive thermodynamic topology optimization

authored by: Andreas Vogel, Philipp Junker
Abstract: The benefit of adaptive meshing strategies for a recently introduced thermodynamic topology optimization is presented. Employing an elementwise gradient penalization, stability is obtained and checkerboarding prevented while very fine structures can be resolved sharply using adaptive meshing at material-void interfaces. The usage of coarse elements and thereby smaller design space does not restrict the obtainable structures if a proper adaptive remeshing is considered during the optimization. Qualitatively equal structures and quantitatively the same stiffness as for uniform meshing are obtained with less degrees of freedom, memory requirement and overall optimization runtime. In addition, the adaptivity can be used to zoom into coarse global structures to better resolve details of interesting spots such as truss nodes.
External Organisation(s): Ruhr-Universität Bochum
Type: Article
Journal: Structural and Multidisciplinary Optimization
Volume: 63
Pages: 95-119
No. of pages: 25
ISSN: 1615-147X
Publication date: 01.2021
Publication status: Published
Peer reviewed: Yes
ASJC Scopus subject areas: Software, Control and Systems Engineering, Computer Science Applications, Computer Graphics and Computer-Aided Design, Control and Optimization
Electronic version(s): https://doi.org/10.1007/s00158-020-02667-4 (Access: Open)
: Details in the research portal "Research@Leibniz University"

BibTeX

@article{ebd0bf18ad3047f09d51e48dbc91704c,
title = "Adaptive thermodynamic topology optimization",
abstract = "The benefit of adaptive meshing strategies for a recently introduced thermodynamic topology optimization is presented. Employing an elementwise gradient penalization, stability is obtained and checkerboarding prevented while very fine structures can be resolved sharply using adaptive meshing at material-void interfaces. The usage of coarse elements and thereby smaller design space does not restrict the obtainable structures if a proper adaptive remeshing is considered during the optimization. Qualitatively equal structures and quantitatively the same stiffness as for uniform meshing are obtained with less degrees of freedom, memory requirement and overall optimization runtime. In addition, the adaptivity can be used to zoom into coarse global structures to better resolve details of interesting spots such as truss nodes.",
keywords = "Adaptivity, Geometric multigrid, Thermodynamic topology optimization",
author = "Andreas Vogel and Philipp Junker",
note = "Funding information: We gratefully acknowledge the computing time on the computing cluster of the SFB 837 and the Department of Civil and Environmental Engineering of the Ruhr University Bochum, Germany, which has been employed for the presented studies.",
year = "2021",
month = jan,
doi = "10.1007/s00158-020-02667-4",
language = "English",
volume = "63",
pages = "95--119",
journal = "Structural and Multidisciplinary Optimization",
issn = "1615-147X",
publisher = "Springer Verlag",
number = "1",
}