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Structural and Multidisciplinary Optimization

, Volume 58, Issue 4, pp 1395–1410 | Cite as

Design of buckling-induced mechanical metamaterials for energy absorption using topology optimization

  • Qi Chen
  • Xianmin Zhang
  • Benliang Zhu
RESEARCH PAPER
  • 468 Downloads

Abstract

A novel design concept for buckling-induced mechanical metamaterials for energy absorption is presented. The force-displacement curves of the mechanical metamaterials are analyzed according to the curves of their unit cells, and the energy-absorbing characteristics of mechanical metamaterials are evaluated. Two topology optimization models are proposed. One maximizes the buckling-induced dissipated energy to facilitate the design of metamaterials with high energy absorption and low elastic strain energy. The other maximizes the dissipated energy with a constraint that the mechanical metamaterials should be self-recoverable. An energy interpolation scheme is employed to avoid numerical instabilities in the geometric nonlinear finite element analysis. A two-phase algorithm is proposed to find the optimized result from a uniform initial guess, and sensitivity analysis is performed. The optimized design has a larger amount of buckling-induced dissipated energy than the previously proposed structural prototypes. Moreover, the self-recoverable mechanical metamaterial is successfully designed by topology optimization.

Keywords

Mechanical metamaterial Energy absorption Topology optimization Buckling 

Notes

Acknowledgments

This work was supported by the National Natural Science Foundation of China (Grant Nos. U1501247 and U1609206). This support is greatly appreciated. Additionally, the authors thank Dr. K. Svanberg at KTH (Stockholm, Sweden) for providing the MMA code for academic research.

Compliance with Ethical Standards

Conflict of interests

The authors declare that they have no conflicts of interest.

Supplementary material

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Copyright information

© Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Guangdong Key Laboratory of Precision Equipment and Manufacturing TechnologySouth China University of TechnologyGuangzhouChina

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