TY - GEN
T1 - Dispersion characteristics of a ZPR hourglass lattice structure
AU - Singh, Amanpreet
AU - Gupta, Vivek
AU - Bhattacharya, Bishakh
PY - 2023
Y1 - 2023
N2 - 2-D lattice structures have gained considerable attention over the past few decades due to their high strength-to-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.
AB - 2-D lattice structures have gained considerable attention over the past few decades due to their high strength-to-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.
UR - http://www.scopus.com/inward/record.url?scp=85173998613&partnerID=8YFLogxK
U2 - 10.1117/12.2658349
DO - 10.1117/12.2658349
M3 - Conference contribution
T3 - Proceedings of SPIE - The International Society for Optical Engineering
BT - Active and Passive Smart Structures and Integrated Systems XVII
A2 - Yang, Jinkyu
ER -