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Shape optimization for microstructures
Project funded by own resources
Project title Shape optimization for microstructures
Principal Investigator(s) Harbrecht, Helmut
Project Members Fallahpour, Merlin
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.

Financed by University funds

Published results ()

  ID Autor(en) Titel ISSN / ISBN Erschienen in Art der Publikation
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) 
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) 
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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