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Shape optimization for microstructures

Research Project
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01.08.2020
 - 31.07.2024

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.

Publications

Harbrecht, Helmut, 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. Available at: https://doi.org/10.1016/j.cma.2021.114552.

URLs
URLs

Dambrine, Marc and Harbrecht, Helmut (2020) ‘Shape optimization for composite materials and scaffolds’, Multiscale Modeling and Simulation, 18(2), pp. 1136–1152. Available at: https://doi.org/10.1137/19m1274638.

URLs
URLs

Members (2)

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Helmut Harbrecht

Principal Investigator
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Merlin Niko Fallahpour

Project Member