TY - JOUR
T1 - Elastostatics of star-polygon tile-based architectured planar lattices
AU - Soyarslan, Celal
AU - Gleadall, Andrew
AU - Yan, Jiongyi
AU - Argeso, Hakan
AU - Sozumert, Emrah
N1 - Funding Information:
C.S. gratefully acknowledges Dr. Swantje Bargmann and the University of Wuppertal for the computational resources provided during the early developments of the work. E.S. gratefully acknowledges the funding in part from the EPSRC UK (Grant No. EP/R012091/1).
Publisher Copyright:
© 2023 The Author(s)
PY - 2023/2
Y1 - 2023/2
N2 - A panoptic view of architectured planar lattices based on star-polygon tilings was developed. Four star-polygon-based lattice sub-families, formed of systematically arranged triangles, squares, or hexagons, were investigated numerically and experimentally. Finite-element-based homogenization allowed computation of Poisson's ratio, elastic modulus, shear modulus, and planar bulk modulus. A comprehensive understanding of the range of properties and micromechanical deformation mechanisms was developed. Adjusting the star-polygon angle achieved an over 250-fold range in elastic modulus, over a 10-fold range in density, and a range of -0.919 to +0.988 for Poisson's ratio. Additively manufactured lattices, achieved by novel printing strategies, showed good agreement in properties. Parametric additive manufacturing procedures for all lattices are available on www.fullcontrol.xyz/#/models/1d3528. Three of the four sub-families exhibited in-plane elastic isotropy. One showed high stiffness with auxeticity at low density and a primarily axial deformation mode as opposed to bending deformation for the other three lattices. The range of achievable properties, demonstrated with property maps, proves the extension of the conventional material-property space. Lattice metamaterials with Triangle-Triangle, Kagome, Hexagonal, Square, Truncated Archimedean, Triangular, and Truncated Hexagonal topologies have been studied in the literature individually. Here, it is shown that these structures belong to the presented overarching lattice family.
AB - A panoptic view of architectured planar lattices based on star-polygon tilings was developed. Four star-polygon-based lattice sub-families, formed of systematically arranged triangles, squares, or hexagons, were investigated numerically and experimentally. Finite-element-based homogenization allowed computation of Poisson's ratio, elastic modulus, shear modulus, and planar bulk modulus. A comprehensive understanding of the range of properties and micromechanical deformation mechanisms was developed. Adjusting the star-polygon angle achieved an over 250-fold range in elastic modulus, over a 10-fold range in density, and a range of -0.919 to +0.988 for Poisson's ratio. Additively manufactured lattices, achieved by novel printing strategies, showed good agreement in properties. Parametric additive manufacturing procedures for all lattices are available on www.fullcontrol.xyz/#/models/1d3528. Three of the four sub-families exhibited in-plane elastic isotropy. One showed high stiffness with auxeticity at low density and a primarily axial deformation mode as opposed to bending deformation for the other three lattices. The range of achievable properties, demonstrated with property maps, proves the extension of the conventional material-property space. Lattice metamaterials with Triangle-Triangle, Kagome, Hexagonal, Square, Truncated Archimedean, Triangular, and Truncated Hexagonal topologies have been studied in the literature individually. Here, it is shown that these structures belong to the presented overarching lattice family.
KW - 2D mechanical metamaterials
KW - Architectured lattices
KW - Auxeticity
KW - Homogenization
KW - Star-polygon tiling
KW - UT-Gold-D
U2 - 10.1016/j.matdes.2022.111580
DO - 10.1016/j.matdes.2022.111580
M3 - Article
AN - SCOPUS:85146056366
SN - 0264-1275
VL - 226
JO - Materials and Design
JF - Materials and Design
M1 - 111580
ER -