Adjustable positive and negative hygrothermal expansion metamaterial inspired by the Maltese cross

A metamaterial that can manifest both positive and negative coefficients of moisture and thermal expansion is presented herein, based on inspiration from the Maltese cross. Each unit of the metamaterial consists of a pair of equal-armed crosses pin-joined at their junctions to permit rotation, but e...

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Main Author: Teik-Cheng Lim
Format: Article
Language:English
Published: The Royal Society 2021-08-01
Series:Royal Society Open Science
Subjects:
Online Access:https://royalsocietypublishing.org/doi/10.1098/rsos.210593
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author Teik-Cheng Lim
author_facet Teik-Cheng Lim
author_sort Teik-Cheng Lim
collection DOAJ
description A metamaterial that can manifest both positive and negative coefficients of moisture and thermal expansion is presented herein, based on inspiration from the Maltese cross. Each unit of the metamaterial consists of a pair of equal-armed crosses pin-joined at their junctions to permit rotation, but elastically restrained by a bimaterial spiral spring, and four pairs of hinge rods to translate the relative rotational motion of the pair of equal-armed crosses into translational motion of the connecting rods. The effective coefficients of moisture and thermal expansion models were developed for small and large changes in the hygrothermal conditions using infinitesimal (approximate) and finite (exact) motion analyses, respectively, with the former giving constant effective coefficients with respect to environmental changes. Results indicate that the approximate method underestimates the magnitude of both the effective expansion coefficients under cooling and drying but overestimates magnitudes of both coefficients during heating and moistening, and that the change in both expansion coefficients is more drastic during cooling and drying than during heating and moistening. In addition to providing another micro-lattice geometry for effecting expansion coefficients of either signs, this metamaterial exhibits auxetic property.
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spelling doaj.art-c37410ddad7e41b38851ebd9416d1f812022-12-21T23:33:11ZengThe Royal SocietyRoyal Society Open Science2054-57032021-08-018810.1098/rsos.210593Adjustable positive and negative hygrothermal expansion metamaterial inspired by the Maltese crossTeik-Cheng Lim0School of Science and Technology, Singapore University of Social Sciences, SingaporeA metamaterial that can manifest both positive and negative coefficients of moisture and thermal expansion is presented herein, based on inspiration from the Maltese cross. Each unit of the metamaterial consists of a pair of equal-armed crosses pin-joined at their junctions to permit rotation, but elastically restrained by a bimaterial spiral spring, and four pairs of hinge rods to translate the relative rotational motion of the pair of equal-armed crosses into translational motion of the connecting rods. The effective coefficients of moisture and thermal expansion models were developed for small and large changes in the hygrothermal conditions using infinitesimal (approximate) and finite (exact) motion analyses, respectively, with the former giving constant effective coefficients with respect to environmental changes. Results indicate that the approximate method underestimates the magnitude of both the effective expansion coefficients under cooling and drying but overestimates magnitudes of both coefficients during heating and moistening, and that the change in both expansion coefficients is more drastic during cooling and drying than during heating and moistening. In addition to providing another micro-lattice geometry for effecting expansion coefficients of either signs, this metamaterial exhibits auxetic property.https://royalsocietypublishing.org/doi/10.1098/rsos.210593auxetic materialMaltese crossmetamaterialmoisture expansionthermal expansion
spellingShingle Teik-Cheng Lim
Adjustable positive and negative hygrothermal expansion metamaterial inspired by the Maltese cross
Royal Society Open Science
auxetic material
Maltese cross
metamaterial
moisture expansion
thermal expansion
title Adjustable positive and negative hygrothermal expansion metamaterial inspired by the Maltese cross
title_full Adjustable positive and negative hygrothermal expansion metamaterial inspired by the Maltese cross
title_fullStr Adjustable positive and negative hygrothermal expansion metamaterial inspired by the Maltese cross
title_full_unstemmed Adjustable positive and negative hygrothermal expansion metamaterial inspired by the Maltese cross
title_short Adjustable positive and negative hygrothermal expansion metamaterial inspired by the Maltese cross
title_sort adjustable positive and negative hygrothermal expansion metamaterial inspired by the maltese cross
topic auxetic material
Maltese cross
metamaterial
moisture expansion
thermal expansion
url https://royalsocietypublishing.org/doi/10.1098/rsos.210593
work_keys_str_mv AT teikchenglim adjustablepositiveandnegativehygrothermalexpansionmetamaterialinspiredbythemaltesecross