Acta Mechanica Solida Sinica

, Volume 32, Issue 6, pp 698–712 | Cite as

Bi-material Topology Optimization Using Analysis Mesh-Independent Point-Wise Density Interpolation

  • Xiaoyu Suo
  • Zhan KangEmail author
  • Xiaopeng Zhang
  • Yaguang Wang


This paper extends the independent point-wise density interpolation to the bi-material topology optimization to improve the structural static or dynamic properties. In contrast to the conventional elemental density-based topology optimization approaches, this method employs an analysis-mesh-separated material density field discretization model to describe the topology evolution of bi-material structures within the design domain. To be specific, the density design variable points can be freely positioned, independently of the field points used for discretization of the displacement field. By this means, a material interface description of relatively high quality can be achieved, even when unstructured finite element meshes and irregular-shaped elements are used in discretization of the analysis domain. Numerical examples, regarding the minimum static compliance design and the maximum fundamental eigen-frequency design, are presented to demonstrate the validity and applicability of the proposed formulation and numerical techniques. It is shown that this method is free of numerical difficulties such as checkerboard patterns and the “islanding” phenomenon.


Topology optimization Bi-material Independent point-wise density interpolation Topology description Material interface Dynamic topology optimization 



The financial support of the National Natural Science Foundation of China (11425207, U1508209) is gratefully acknowledged.


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Copyright information

© The Chinese Society of Theoretical and Applied Mechanics 2019

Authors and Affiliations

  • Xiaoyu Suo
    • 1
    • 2
  • Zhan Kang
    • 1
    Email author
  • Xiaopeng Zhang
    • 1
  • Yaguang Wang
    • 1
  1. 1.State Key Laboratory of Structural Analysis for Industrial EquipmentDalian University of TechnologyDalianChina
  2. 2.The 41st Institute of the Sixth Academy of China Aerospace Science & Industry CorporationHohhotChina

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