Harbrecht, Helmut Multerer, Michael von Rickenbach, Remo 2022 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. application/pdf https://localhost:5000/ark:/12658/srd1322813 https://susi.usi.ch/global/documents/322813 https://susi.usi.ch/documents/322813/files/Multerer_2022_Else_cmame.pdf eng info:eu-repo/semantics/altIdentifier/doi/10.1016/j.cma.2021.114552 info:eu-repo/semantics/altIdentifier/ark/12658/srd1322813 info:eu-repo/semantics/openAccess CC BY-NC-ND Computer methods in applied mechanics and engineering. - 2022, vol. 391, p. 114552 Periodic structures Isogeometric boundary element method Homogenization Shape optimization info:eu-repo/classification/udc/6 Isogeometric shape optimization of periodic structures in three dimensions http://purl.org/coar/resource_type/c_6501