Shape optimization for composite materials and scaffolds

Dambrine, Marc and Harbrecht, Helmut. (2020) Shape optimization for composite materials and scaffolds. Multiscale Modeling and Simulation, 18 (2). pp. 1136-1152.

PDF - Published Version

Official URL: https://edoc.unibas.ch/77485/

Downloads: Statistics Overview


This article 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? We compute Hadamard's shape gradient for the problem of realizing a prescribed effective tensor and demonstrate the applicability and feasibility of our approach by numerical experiments.
Faculties and Departments:05 Faculty of Science > Departement Mathematik und Informatik > Mathematik > Computational Mathematics (Harbrecht)
UniBasel Contributors:Harbrecht, Helmut
Item Type:Article, refereed
Article Subtype:Research Article
Publisher:Society for Industrial and Applied Mathematics
Note:Publication type according to Uni Basel Research Database: Journal article
Identification Number:
edoc DOI:
Last Modified:22 Jun 2020 07:18
Deposited On:22 Jun 2020 07:18

Repository Staff Only: item control page