Dispersion characteristics of a ZPR hourglass lattice structure

Amanpreet Singh; Vivek Gupta; Bishakh Bhattacharya

doi:10.1117/12.2658349

28 April 2023 Dispersion characteristics of a ZPR hourglass lattice structure

Amanpreet Singh, Vivek Gupta, Bishakh Bhattacharya

Proceedings Volume 12483, Active and Passive Smart Structures and Integrated Systems XVII; 1248305 (2023) https://doi.org/10.1117/12.2658349
Event: SPIE Smart Structures + Nondestructive Evaluation, 2023, Long Beach, California, United States

Abstract

2-D lattice structures have gained considerable attention over the past few decades due to their high strengthto- weight ratio. Enormous studies have been conducted on various shapes of the 2D lattice structures. Different shapes of the 2-D lattices exhibit different Poisson's ratio values. The Poisson's ratio ranges from negative to positive values for conventional lattice structures such as honeycomb and auxetic honeycomb lattice structures. However, there exist such lattice structures that exhibit Zero Poisson's Ratio (ZPR). In this article, we propose a novel hourglass structure (HG) that exhibits Zero Poisson's Ratio (ZPR HG), studied dispersion behaviour, and compared with negative (Aux HG) and positive (Hcb HG) Poisson's Ratios. The emergence of the band structure in the HG-ZPR has been studied analytically and compared with the conventional hourglass structures that exhibit positive/ negative Poisson's ratio. The dependency of the band structure on Poisson's ratio has been investigated. A significant variation in the band structure has been observed as the microstructure of the hourglass structure varies. This study intends to provide the necessary physical insights showing the dependency of the band structure on Poisson's ratio.

Conference Presentation

Citation Download Citation

Amanpreet Singh, Vivek Gupta, and Bishakh Bhattacharya "Dispersion characteristics of a ZPR hourglass lattice structure", Proc. SPIE 12483, Active and Passive Smart Structures and Integrated Systems XVII, 1248305 (28 April 2023); https://doi.org/10.1117/12.2658349

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