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A mechanical metamaterial with anomalous thermal expansion and Poisson's ratio is introduced herein by inspiration from the tangram puzzle. The on-axes coefficients of thermal expansion have been extracted by matching the energy expressions from the simple harmonic motion and the principle of energy equipartition, while the on-axes Young's moduli were obtained by matching the total spring potential energy at the hinges with the strain energy of the homogenised continuum. The in-plane Poisson's ratio for infinitesimal deformation were derived using engineering strain definition, and were validated for finite deformation using true strain definition. Results reveal that the metamaterial exhibits completely in-plane negative thermal expansivity with high anisotropy, as well as an in-plane Poisson's ratio that toggles between positive and negative signs when the applied stress direction changes between tensile and compressive. The other in-plane Poisson's ratio is undefined for stretching, but can be programmed to exhibit either positive or negative signs during compression by attachment of charges on the tangram pieces. The combined characteristics of this tangram-inspired metamateria

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Author

Teik-Cheng Lim

Publisher

Elsevier BV

Published

2023

Language

EN

Field

Engineering (Physical Sciences)