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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References
Kim, J. Z., Lu, Z., Strogatz, S. H. & Bassett, D. S. Nat. Phys. https://doi.org/10.1038/s41567-019-0475-y (2019).
Maxwell, J. C. Philos. Mag. 27, 294–299 (1865).
Calladine, C. R. Int. J. Solids Struct. 14, 161–172 (1978).
Chen, B. G. et al. Proc. Natl Acad. Sci. USA 111, 13004–13009 (2014).
Bertoldi, K. et al. Nat. Rev. Mater. 2, 17066 (2017).
Kane, C. L. & Lubensky, T. C. Nat. Phys. 10, 39–45 (2014).
Paulose, J., Chen, B. G.-G. & Vitelli, V. Nat. Phys. 11, 153–156 (2015).
Bilal, O. R. et al. Adv. Mater. 29, 1700540 (2017).
Baardink, G. et al. Proc. Natl Acad. Sci. USA 115, 489–494 (2018).
Rocklin, D. Z., Vitelli, V. & Mao, X. Preprint at https://arxiv.org/abs/1802.02704 (2018).
Rocks, J. W. et al. Proc. Natl Acad. Sci. USA 114, 2520–2525 (2017).
Yan, L. et al. Proc. Natl Acad. Sci. USA 114, 2526–2531 (2017).
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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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DOI: https://doi.org/10.1038/s41567-019-0500-1