Application of the Isotropic Material Design and Inverse Homogenization in 3D Printing

2020/11/19 by Grzegorz Dzierżanowski, DZIERŻANOWSKI, Grzegorz
Engineering · #Composite Material Mechanics #Composite Structure Analysis and Optimization #Topology Optimization in Engineering

paper · doi:10.24423/engtrans.742.2016

openalex publication_date 2020/11/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/01

Abstract

Homogenization-based approach to structural optimization and Free Material Design (FMD) technique are discussed in case of isotropy. The problem is elaborated from the perspective provided by: (i) the theory of composites and (ii) Isotropic Material Design (IMD) – a variant of FMD. Results provided by IMD are interpreted in light of the Hashin-Shtrikman bounds on the effective isotropic properties of material-void mixtures. This in turn provides practical guidelines for 3D printing.

Related

• The Isotropic Material Design methods with the cost expressed by the L^p-norm
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• Design of three dimensional isotropic microstructures for maximized stiffness and conductivity
• Setting the Free Material Design problem through the methods of optimal mass distribution
• Isotropic Metamaterial Stiffness Beyond Hashin-Shtrikman Upper Bound