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Design criteria for tough metamaterials

A generalized strategy to characterize the failure of truss-based microlattices is established, creating a framework for designing tough, damage-tolerant architected materials.

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Fig. 1: Design strategy for creating tough 3D mechanical metamaterials.


  1. Fleck, N. A., Deshpande, V. S. & Ashby, M. F. Proc. R. Soc. A 466, 2495–2516 (2010).

    Article  CAS  Google Scholar 

  2. Shaikeea, A. J. D., Cui, H., O’Masta, M., Zheng, X. R. & Deshpande, V. Nat. Mater. (2022).

  3. Zheng, X. et al. Nat. Mater. 15, 1100–1106 (2016).

    Article  CAS  Google Scholar 

  4. Bauer, J., Schroer, A., Schwaiger, R. & Kraft, O. Nat. Mater. 15, 438–443 (2016).

    Article  CAS  Google Scholar 

  5. Anderson, T. L. Fracture Mechanics: Fundamentals and Applications (CRC Press, 2017).

  6. Nguyen, H. et al. Proc. Natl Acad. Sci. USA 117, 14015–14020 (2020).

    Article  CAS  Google Scholar 

  7. Jang, D. & Greer, J. R. Nat. Mater. 9, 215–219 (2010).

    Article  CAS  Google Scholar 

  8. Schwaiger, R., Meza, L. & Li, X. MRS Bull. 44, 758–765 (2019).

    Article  Google Scholar 

  9. Pham, M.-S., Liu, C., Todd, I. & Lertthanasarn, J. Nature 565, 305–311 (2019).

    Article  CAS  Google Scholar 

  10. Ashby, M. F. Materials Selection in Mechanical Design 5th edn (Butterworth-Heinemann, 2017).

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Correspondence to Yang Lu.

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Surjadi, J.U., Lu, Y. Design criteria for tough metamaterials. Nat. Mater. 21, 272–274 (2022).

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