Isogeometric shape optimization of periodic structures in three dimensions
Additional information
Authors
Harbrecht H.,
Multerer M.,
von Rickenbach R.
Type
Journal Article
Year
2022
Language
English
Abstract
The development of materials with specific structural properties is of huge practical interest, for example, for medical applications or for the development of lightweight structures in aeronautics. In this article, we combine shape optimization and homogenization for the optimal design of the microstructure in scaffolds. Given the current microstructure, we apply the isogeometric boundary element method to compute the effective tensor and to update the microstructure by using the shape gradient in order to match the desired effective tensor. Extensive numerical studies are presented to demonstrate the applicability and feasibility of the approach.
Keywords
Periodic structures, Isogeometric boundary element method, Homogenization, Shape optimization
Journal
Computer methods in applied mechanics and engineering
Volume
391
Pages (or article number)
114552
Diffusion
License
CC BY-NC-ND
Visibility
Public
Status open access
Hybrid
