Frontiers of Mechanical Engineering

, Volume 14, Issue 2, pp 129–140 | Cite as

Connected morphable components-based multiscale topology optimization

  • Jiadong Deng
  • Claus B. W. Pedersen
  • Wei ChenEmail author
Research Article
Part of the following topical collections:
  1. Structural Topology Optimization


The advances of manufacturing techniques, such as additive manufacturing, have provided unprecedented opportunities for producing multiscale structures with intricate latticed/cellular material microstructures to meet the increasing demands for parts with customized functionalities. However, there are still difficulties for the state-of-the-art multiscale topology optimization (TO) methods to achieve manufacturable multiscale designs with cellular materials, partially due to the disconnectivity issue when tiling material microstructures. This paper attempts to address the disconnectivity issue by extending component-based TO methodology to multiscale structural design. An effective linkage scheme to guarantee smooth transitions between neighboring material microstructures (unit cells) is devised and investigated. Associated with the advantages of components-based TO, the number of design variables is greatly reduced in multiscale TO design. Homogenization is employed to calculate the effective material properties of the porous materials and to correlate the macro/structural scale with the micro/material scale. Sensitivities of the objective function with respect to the geometrical parameters of each component in each material microstructure have been derived using the adjoint method. Numerical examples demonstrate that multiscale structures with well-connected material microstructures or graded/layered material microstructures are realized.


multiscale topology optimization morphable component material microstructure homogenization 


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The authors would also like to thank the Digital Manufacturing and Design Innovation Institute (DMDII) at Northwestern University for their support through award number 15-07-07.


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Copyright information

© Higher Education Press and Springer-Verlag GmbH Germany, part of Springer Nature 2019

Authors and Affiliations

  • Jiadong Deng
    • 1
  • Claus B. W. Pedersen
    • 2
  • Wei Chen
    • 1
    Email author
  1. 1.Department of Mechanical EngineeringNorthwestern UniversityEvanstonUSA
  2. 2.Dassault Systèmes Deutschland GmbHHamburgGermany

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