Homogenization-based stiffness optimization and projection of 2D coated structures with orthotropic infill

Jeroen P. Groen*, Jun Wu, Ole Sigmund

*Corresponding author for this work

Research output: Contribution to journalArticleScientificpeer-review

114 Citations (Scopus)
129 Downloads (Pure)

Abstract

This paper concerns compliance minimization and projection of coated structures with orthotropic infill material in 2D. The purpose of the work is two-fold. First, we introduce an efficient homogenization-based approach to perform topology optimization of coated structures with orthotropic infill material. The design space is relaxed to allow for a composite material description, which means that designs with complex microstructures can be obtained on relatively coarse meshes. Second, a method is presented to project the homogenization-based designs on a fine but realizable scale. A novel method to adaptively refine the lattice structure is presented to allow for a regular spacing of the infill. Numerical experiments show excellent behavior of the projected designs, with structural performance almost identical to the homogenization-based designs. Furthermore, a reduction in computational cost of at least an order of magnitude is achieved, compared to a related approach in which the infill is optimized using a density-based approach.

Original languageEnglish
Pages (from-to)722-742
Number of pages21
JournalComputer Methods in Applied Mechanics and Engineering
Volume349
DOIs
Publication statusPublished - 2019

Bibliographical note

Accepted author manuscript

Keywords

  • Coated structures
  • High-resolution
  • Homogenization
  • Infill
  • Topology optimization

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