Curvature screening in draped mechanical metamaterial sheets.
| Autor: | Roy S; Department of Physics, Syracuse University, Syracuse, NY, 13244, USA. sroy08@syr.edu., Santangelo CD; Department of Physics, Syracuse University, Syracuse, NY, 13244, USA. sroy08@syr.edu. |
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| Jazyk: | angličtina |
| Zdroj: | Soft matter [Soft Matter] 2023 Nov 01; Vol. 19 (42), pp. 8150-8156. Date of Electronic Publication: 2023 Nov 01. |
| DOI: | 10.1039/d3sm01108a |
| Abstrakt: | We develop a framework to understand the mechanics of metamaterial sheets on curved surfaces. Here we have constructed a continuum elastic theory of mechanical metamaterials by introducing an auxiliary, scalar gauge-like field that absorbs the strain along the soft mode and projects out the stiff ones. We propose a general form of the elastic energy of a mechanism based metamaterial sheet and specialize to the cases of dilational metamaterials and shear metamaterials conforming to positively and negatively curved substrates in the Föppl-Von Kármán limit of small strains. We perform numerical simulations of these systems and obtain good agreement with our analytical predictions. This work provides a framework that can be easily extended to explore non-linear soft modes in metamaterial elasticity in future. |
| Databáze: | MEDLINE |
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