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Isogeometric shape optimization of periodic structures in three dimensions

Harbrecht, Helmut and Multerer, Michael and von Rickenbach, Remo. (2022) Isogeometric shape optimization of periodic structures in three dimensions. Computer Methods in Applied Mechanics and Engineering, 391. p. 114552.

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Official URL: https://edoc.unibas.ch/86918/

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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.
Faculties and Departments:05 Faculty of Science > Departement Mathematik und Informatik > Mathematik > Computational Mathematics (Harbrecht)
UniBasel Contributors:Harbrecht, Helmut and von Rickenbach, Remo
Item Type:Article, refereed
Article Subtype:Research Article
Publisher:Elsevier
ISSN:0045-7825
Note:Publication type according to Uni Basel Research Database: Journal article
Language:English
edoc DOI:
Last Modified:07 Apr 2022 12:12
Deposited On:07 Apr 2022 12:12

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