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Metamaterial honeycomb with sign-toggling expansion coefficients that manifests an Islamic mosaic pattern at the Alhambra Palace

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Abstract

Of late, metamaterials have been designed such that they possess properties that can switch between positive and negative signs depending on the external environment. This paper draws inspiration from an Islamic geometric design at the Alhambra Palace for designing a metamaterial that exhibits positive coefficients of thermal, pressure, and moisture expansions upon cooling, pressurizing, and drying but manifests negative coefficients of thermal, pressure, and moisture expansions with heating, deceasing pressure, and moistening such that the metamaterial always shrinks with environmental changes with reference from the original state. The metamaterial is constructed by using straight bimaterial strips with alternating orientation that are joined at the rigid hexagonal junction nodes to form equilateral triangular array such that it transforms into the hexachiral honeycomb structure regardless of how the environmental conditions change. Results indicate that every effective in-plane expansion coefficient is almost linearly proportional to its corresponding environmental change. In addition to exhibiting sign-switching expansion coefficients, the metamaterial displays positive Poisson’s ratio in its original state but manifests negative Poisson’s ratio upon environmental change(s).

Graphical abstract

This metacomposite is inspired by an Islamic geometric pattern that manifests expansion coefficients which toggle between positive and negative so as to exhibit persistently negative environmental strain.

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Correspondence to Teik-Cheng Lim.

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Lim, TC. Metamaterial honeycomb with sign-toggling expansion coefficients that manifests an Islamic mosaic pattern at the Alhambra Palace. Adv Compos Hybrid Mater 4, 966–978 (2021). https://doi.org/10.1007/s42114-021-00267-4

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  • DOI: https://doi.org/10.1007/s42114-021-00267-4

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