Isogeometric shape optimization of periodic structures in three dimensions
- Harbrecht, Helmut ORCID Departement für Mathematik und Informatik, Universität Basel, Basel, Switzerland
- Multerer, Michael ORCID Euler Institute (EUL), Università della Svizzera italiana, Switzerland
- von Rickenbach, Remo ORCID Departement für Mathematik und Informatik, Universität Basel, Basel, Switzerland
- 2022
Published in:
- Computer methods in applied mechanics and engineering. - 2022, vol. 391, p. 114552
English
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.
- Collections
- Language
-
- English
- Classification
- Applied sciences
- License
- CC BY-NC-ND
- Open access status
- hybrid
- Identifiers
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- DOI 10.1016/j.cma.2021.114552
- ARK ark:/12658/srd1322813
- Persistent URL
- https://n2t.net/ark:/12658/srd1322813
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