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Shape optimization for microstructures
Project funded by own resources |
Project title |
Shape optimization for microstructures |
Principal Investigator(s) |
Harbrecht, Helmut
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Project Members |
Fallahpour, Merlin
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Organisation / Research unit |
Departement Mathematik und Informatik / Computational Mathematics (Harbrecht) |
Project start |
01.08.2020 |
Probable end |
31.07.2024 |
Status |
Active |
Abstract |
This project combines shape optimization and homogenization techniques by looking for the optimal design of the microstructure in composite materials and of scaffolds. The development of materials with specific properties is of huge practical interest, for example, for medical applications or for the development of light weight structures in aeronautics. In particular, the optimal design of microstructures leads to fundamental questions for porous media: what is the sensitivity of homogenized coefficients with respect to the shape of the microstructure? Based on Hadamard’s shape gradient, we develop optimization algorithms and provide numerical simulations for several problems arising from the homogenization of elastic materials.
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Financed by |
University funds
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Published results () |
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ID |
Autor(en) |
Titel |
ISSN / ISBN |
Erschienen in |
Art der Publikation |
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4638428 |
Harbrecht, Helmut; Multerer, Michael; von Rickenbach, Remo |
Isogeometric shape optimization of periodic structures in three dimensions |
0045-7825 |
Computer Methods in Applied Mechanics and Engineering |
Publication: JournalArticle (Originalarbeit in einer wissenschaftlichen Zeitschrift) |
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4599169 |
Dambrine, Marc; Harbrecht, Helmut |
Shape optimization for composite materials and scaffolds |
1540-3459 ; 1540-3467 |
Multiscale Modeling and Simulation |
Publication: JournalArticle (Originalarbeit in einer wissenschaftlichen Zeitschrift) |
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4695269 |
Fallahpour, Merlin; Harbrecht, Helmut |
Shape optimization for composite materials in linear elasticity |
1389-4420 |
Optimization and engineering |
Publication: JournalArticle (Originalarbeit in einer wissenschaftlichen Zeitschrift) |
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28/03/2024
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