TY - JOUR
T1 - Effective elastic properties of novel aperiodic monotile-based lattice metamaterials
AU - Naji, Mohamed M.
AU - Abu Al-Rub, Rashid K.
N1 - Publisher Copyright:
© 2024 The Author(s)
PY - 2024/8
Y1 - 2024/8
N2 - Two-dimensional aperiodic lattices emerge as remarkably isotropic metamaterials with potentially unconventional mechanical behavior. This study investigates numerically estimating the effective elastic properties, as a function of relative density, of novel two-dimensional aperiodic lattice metamaterials derived from the recently discovered aperiodic monotiles, known as the “Hat,” “Turtle,” and “Spectre” tiles. Furthermore, several classes of the Hat-based lattices; namely Hexagon (H), Triangle (T), Parallelogram (P), and Fan (F), are also investigated. The results show that these aperiodic lattices have isotropic elastic properties independent of relative density. The Hat-based and Turtle lattices exhibit larger elastic moduli, gradually converging to the Spectre-based lattices as relative density increases. A distinctive feature of the Hat-based lattices is their directional auxetic behaviour with an anisotropic Poisson's ratio, whereas the Turtle lattices show an auxetic behaviour only at lower relative densities. Despite anisotropic Poisson's ratios, the current aperiodic lattices maintain elastic isotropy, offering a unique blend of anisotropic auxetic behavior and isotropic elastic moduli. This study contributes to a better understanding of the elastic properties of aperiodic monotile lattice metamaterials and their potential for engineering their mechanical behavior for certain applications.
AB - Two-dimensional aperiodic lattices emerge as remarkably isotropic metamaterials with potentially unconventional mechanical behavior. This study investigates numerically estimating the effective elastic properties, as a function of relative density, of novel two-dimensional aperiodic lattice metamaterials derived from the recently discovered aperiodic monotiles, known as the “Hat,” “Turtle,” and “Spectre” tiles. Furthermore, several classes of the Hat-based lattices; namely Hexagon (H), Triangle (T), Parallelogram (P), and Fan (F), are also investigated. The results show that these aperiodic lattices have isotropic elastic properties independent of relative density. The Hat-based and Turtle lattices exhibit larger elastic moduli, gradually converging to the Spectre-based lattices as relative density increases. A distinctive feature of the Hat-based lattices is their directional auxetic behaviour with an anisotropic Poisson's ratio, whereas the Turtle lattices show an auxetic behaviour only at lower relative densities. Despite anisotropic Poisson's ratios, the current aperiodic lattices maintain elastic isotropy, offering a unique blend of anisotropic auxetic behavior and isotropic elastic moduli. This study contributes to a better understanding of the elastic properties of aperiodic monotile lattice metamaterials and their potential for engineering their mechanical behavior for certain applications.
KW - Anisotropy
KW - Aperiodic monotile
KW - Auxetic
KW - Honeycombs
KW - Metamaterials
KW - Negative Poisson's ratio
UR - http://www.scopus.com/inward/record.url?scp=85196515081&partnerID=8YFLogxK
U2 - 10.1016/j.matdes.2024.113102
DO - 10.1016/j.matdes.2024.113102
M3 - Article
AN - SCOPUS:85196515081
SN - 0264-1275
VL - 244
JO - Materials and Design
JF - Materials and Design
M1 - 113102
ER -