Inverse homogenization using isogeometric shape optimization

Publikationstyp
Journal Article
Date Issued
2020-08-15
Sprache
English
Author(s)
Lüdeker, Julian Kajo 
Sigmund, Ole  
Kriegesmann, Benedikt  orcid-logo
Institut
Strukturoptimierung im Leichtbau M-EXK1  
TORE-URI
http://hdl.handle.net/11420/6378
Journal
Computer methods in applied mechanics and engineering  
Volume
368
Article Number
113170
Citation
Computer Methods in Applied Mechanics and Engineering (368): 113170 (2020-08-15)
Publisher DOI
10.1016/j.cma.2020.113170
Scopus ID
2-s2.0-85086074248
Finding periodic microstructures with optimal elastic properties is usually tackled by a highly resolved, regular finite element model and solid isotropic material penalization. This procedure not only has many advantages, but also requires a comparably high computational effort and challenges in representing stresses accurately. Therefore, an isogeometric shape optimization approach is applied to the inverse homogenization problem and combined with a reconstruction procedure for nearly optimal rank-3 laminates, which provides an efficient solution strategy with more accurate stress modelling. This allows to investigate the sensitivity of optimized microstructures in terms of stress concentrations.
Subjects
Inverse homogenization
Isogeometric analysis
Optimal microstructures
Shape optimization