Homogenization‐based topology optimization for high-resolution manufacturable micro‐structures

Groen, J. P. (Speaker), Simon Dyring Larsen (Other), Sigmund, O. (Other)

Activity: Talks and presentationsConference presentations


The objective of this work is to present a projection method to obtain high-resolution manufacturable structures from efficient and coarse-scale, homogenization-based topology optimization results [1]. The focus of this work is on compliance minimization of linear-elasticity problems, for which it is known that the optimal solution is in the space of layered materials, the so-called rank-n laminates. Here rank-2 laminates are optimal for plane problems subject to a single load case, and rank-3 laminates are optimal for plane problems subject to multiple load cases.

In a very appealing approach Pantz and Trabelsi introduced a method to project the microstructures from homogenization-based topology optimization to obtain a solid-void design with finite length-scale [2]. The local structure is 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 in a post-processing step, without a need for cumbersome and expensive multi-scale formulations.

This work shall be seen as a simplification and improvement of the approach introduced by Pantz and Trabelsi [2]. We simplify the projection approach and introduce procedures for controlling the size and shape of the projected design, such that high-resolution (e.g. 1 million elements in 2D), near-optimal and manufacturable lattice designs for single and multiple loadcase problems can be achieved within a few minutes using a single processor Matlab code on a standard PC.
Period5 Jun 20179 Jun 2017
Event title12th World Congress of Structural and Multidisciplinary Optimisation
Event typeConference
Conference number12
LocationBraunschweig, Germany
Degree of RecognitionInternational


  • topology optimization
  • homogenization
  • multiscale