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Author Correction: Large recoverable elastic energy in chiral metamaterials via twist buckling

Nature作者：Xin Fang2026年9月23日正文已收录本站
  • Author Correction
  • Open access
  • Published:
  • Dianlong Yu1,
  • Jihong Wen1,
  • Yifan Dai1,
  • Matthew R. Begley2,
  • Huajian Gao3 &
  • …
  • Peter Gumbsch4,5 

Nature (2026) Cite this article

Correction to: Nature https://doi.org/10.1038/s41586-025-08658-z Published online 12 March 2025

In the version of the article initially published, the authors erroneously used \({F}_{{\rm{s}}}=\frac{{E}_{{\rm{s}}}\pi {r}^{2}}{4{L}_{0}}\) to normalise F1rod in calculation instead of \({F}_{{\rm{s}}}=\frac{{E}_{{\rm{s}}}\pi {r}^{2}}{4{L}_{0}^{2}}\). This affected the y-axes of Fig. 2a,c, Extended Data Figs. 2a, 3b, 4a, 5a and 7c. In the “Buckling of chiral and non-chiral rods” section, it also affected a numerical value in the sentence now reading “Here, the same chiral rod with R = 6 mm and α0 = 5° gives max(F1rod/Fs) = 24,” where 24 appeared originally as “0.8”. The axes of Fig. 2a,c, Extended Data Figs. 2a, 3b, 4a, 5a and 7c, as well as the numerical value above, have now been multiplied by 30 and updated. In addition, in the Methods, the expression for Δout was erroneously typed as \({\varDelta }_{{\rm{out}}}={\pi }^{4}{a}_{{\rm{out}}}^{2}/4{L}_{{\rm{s}}}\); the correct expression is \({\varDelta }_{{\rm{out}}}={\pi }^{2}{a}_{{\rm{out}}}^{2}/4{L}_{{\rm{s}}}\). The two corrections do not affect the analyses and conclusions of the article. The text and figures have been updated in the HTML and PDF versions of the article.

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Authors and Affiliations

  1. National Key Laboratory of Equipment State Sensing and Smart Support, College of Intelligent Science and Technology, National University of Defense Technology, Changsha, China

    Xin Fang, Dianlong Yu, Jihong Wen & Yifan Dai

  2. Department of Mechanical Engineering, University of California, Santa Barbara, Santa Barbara, CA, USA

    Matthew R. Begley

  3. Mechanics-X Institute, Tsinghua University, Beijing, China

    Huajian Gao

  4. Institute for Applied Materials, Karlsruhe Institute of Technology, Karlsruhe, Germany

    Peter Gumbsch

  5. Fraunhofer Institute for Mechanics of Materials IWM, Freiburg, Germany

    Peter Gumbsch

Authors

  1. Xin Fang
  2. Dianlong Yu
  3. Jihong Wen
  4. Yifan Dai
  5. Matthew R. Begley
  6. Huajian Gao
  7. Peter Gumbsch

Corresponding authors

Correspondence to Xin Fang or Peter Gumbsch.

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Fang, X., Yu, D., Wen, J. et al. Author Correction: Large recoverable elastic energy in chiral metamaterials via twist buckling. Nature (2026). https://doi.org/10.1038/s41586-026-11189-w

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  • DOI: https://doi.org/10.1038/s41586-026-11189-w