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APPLIED MATHEMATICS

Geometry for mechanics

The mechanics of many materials can be modelled by a network of balls connected by springs. A bottom-up approach based on differential geometry now captures changes in mechanics upon network growth or merger, going beyond the linear deformation regime.

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Fig. 1: Designing exotic mechanics in networks.

References

  1. Kim, J. Z., Lu, Z., Strogatz, S. H. & Bassett, D. S. Nat. Phys. https://doi.org/10.1038/s41567-019-0475-y (2019).

  2. Maxwell, J. C. Philos. Mag. 27, 294–299 (1865).

    Article  Google Scholar 

  3. Calladine, C. R. Int. J. Solids Struct. 14, 161–172 (1978).

    Article  Google Scholar 

  4. Chen, B. G. et al. Proc. Natl Acad. Sci. USA 111, 13004–13009 (2014).

    Article  ADS  MathSciNet  Google Scholar 

  5. Bertoldi, K. et al. Nat. Rev. Mater. 2, 17066 (2017).

    Article  ADS  Google Scholar 

  6. Kane, C. L. & Lubensky, T. C. Nat. Phys. 10, 39–45 (2014).

    Article  Google Scholar 

  7. Paulose, J., Chen, B. G.-G. & Vitelli, V. Nat. Phys. 11, 153–156 (2015).

    Article  Google Scholar 

  8. Bilal, O. R. et al. Adv. Mater. 29, 1700540 (2017).

    Article  Google Scholar 

  9. Baardink, G. et al. Proc. Natl Acad. Sci. USA 115, 489–494 (2018).

    Article  ADS  MathSciNet  Google Scholar 

  10. Rocklin, D. Z., Vitelli, V. & Mao, X. Preprint at https://arxiv.org/abs/1802.02704 (2018).

  11. Rocks, J. W. et al. Proc. Natl Acad. Sci. USA 114, 2520–2525 (2017).

    Article  Google Scholar 

  12. Yan, L. et al. Proc. Natl Acad. Sci. USA 114, 2526–2531 (2017).

    Article  Google Scholar 

Download references

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Correspondence to V. Vitelli.

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Souslov, A., Vitelli, V. Geometry for mechanics. Nat. Phys. 15, 623–624 (2019). https://doi.org/10.1038/s41567-019-0500-1

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