Structural and Multidisciplinary Optimization

, Volume 43, Issue 6, pp 767–784

On projection methods, convergence and robust formulations in topology optimization

  • Fengwen Wang
  • Boyan Stefanov Lazarov
  • Ole Sigmund
Research Paper


Mesh convergence and manufacturability of topology optimized designs have previously mainly been assured using density or sensitivity based filtering techniques. The drawback of these techniques has been gray transition regions between solid and void parts, but this problem has recently been alleviated using various projection methods. In this paper we show that simple projection methods do not ensure local mesh-convergence and propose a modified robust topology optimization formulation based on erosion, intermediate and dilation projections that ensures both global and local mesh-convergence.


Topology optimization Robust design Compliant mechanisms Manufacturing constraints 


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Copyright information

© Springer-Verlag 2010

Authors and Affiliations

  • Fengwen Wang
    • 1
  • Boyan Stefanov Lazarov
    • 1
  • Ole Sigmund
    • 1
  1. 1.Department of Mechanical Engineering, Solid MechanicsTechnical University of DenmarkLyngbyDenmark

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