Homogenization-based topology optimization for high-resolution microstructures

  • Jeroen Peter Groen (Speaker)
  • Jun Wu (Other)
  • Sigmund, O. (Other)

Activity: Talks and presentationsConference presentations


We present a projection method to obtain high-resolution manufacturable structures from coarse-scale, homogenization-based topology optimization results[1]. The focus of this work is on compliance minimization of linear-elasticity problems, for which the optimal solution is in the space of layered materials.
Pantz and Trabelsi introduced a method to project the microstructures from homogenization-based topology optimization[2]. The microstructures are oriented along the directions of lamination such that a well-connected design is achieved. This approach paves the way for coarse-scale topology optimization where the projection can be performed on a high-resolution mesh, without a need for cumbersome and expensive multi-scale formulations. In a recent work we have simplified the projection procedure, and introduced procedures for controlling the shape of the projected design[1]. This allowed for high-resolution (~1 million elements in 2D), near-optimal and manufacturable designs, obtained within a few minutes on a standard PC.
In the current work we will demonstrate extensions of the method into 3D, and discuss the potential of the method over standard topology optimization.

[1] J.P. Groen, O. Sigmund. Homogenization-based topology optimization for high-resolution manufacturable micro-structures. IJNME 2017;:1–18
[2] Pantz O, Trabelsi K.A post-treatment of the homogenization method for shape optimization. SIAM Journal on Control and Optimization 2008;47(3):1380–1398
Period23 Jul 201827 Jul 2018
Event titleIFIP TC7 CONFERENCE 2018: On System Modelling and Optimization
Event typeConference
LocationEssen, Germany, North Rhine-Westphalia
Degree of RecognitionInternational


  • topology optimization
  • multiscale
  • homogenization
  • coated structures