Poisson's Ratio and Modulus of Gyroid Lattices

DeValk, Tyler; Lakes, Roderic S.

doi:10.1002/pssb.202100081

Cited by 11 publications

(11 citation statements)

References 33 publications

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“…[ 14 ] Thinner specimens exhibit stronger effects than thicker ones. By contrast, the gyroid exhibited minimal size effects in Poisson's ratio, with values near 0.3 [ 37 ] with no substantive dependence on specimen diameter. The thermal twist response observed in the present study did not exhibit a strong dependence on diameter.…”

Section: Resultsmentioning

confidence: 99%

Nonclassical Thermal Twist of the Chiral Gyroid Lattice

DeValk

Hestetune

Lakes

2022

Physica Status Solidi (b)

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The gyroid lattice is prepared in chiral and non‐chiral forms. The chiral gyroid lattice is observed to exhibit temperature‐induced twist with the direction of twist corresponding to the sense of chirality. This effect is a nonclassical effect that cannot occur in classical elasticity or classical thermo‐elasticity but is allowable in Cosserat solids. Poisson's ratio of the gyroid is known to be about 0.3 with minimal dependence on size. In contrast to squeeze–twist coupling in which substantial size effects occur with slender specimens twisting much more than thicker ones, thermal–twist coupling exhibits opposite and less consistent size effects of much smaller magnitude.

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Section: Resultsmentioning

confidence: 99%

Nonclassical Thermal Twist of the Chiral Gyroid Lattice

DeValk

Hestetune

Lakes

2022

Physica Status Solidi (b)

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“…In this work, we outlined a route to obtain 3D patterned, and hierarchically and anisotropically structured BC monoliths. We expect that further systematic work on their mechanical properties as functions of structural details will yield further unique properties of interest: current research into the -potentially chiral-mechanical behaviour of gyroids assumes isotropy of the materials within the struts [13]. Incorporating a texture into the struts themselves can be expected to yield exciting anisotropic behaviour.…”

Section: Discussionmentioning

confidence: 99%

“…The directional sample shrinkages during drying give a first indication on the presence of overall structural anisotropy: The gyroid structure has a cubic structural symmetry, and exhibits mechanical isotropy for t = 0 [13]. Hence, one would expect the longitudinal and diametrical shrinkages to be equal.…”

Section: Structural Anisotropymentioning

confidence: 99%

“…In the context of the current work, we consider a gyroid material to consist of a solid phase filling one of the two volumes, as commonly found in nature [11]. Compared to other minimal surfaces, such as the primitive cell, it shows favorable mechanical properties [12], whose anisotropy and chirality depends on t [13]. Since both sides of the surface form an interconnected network, mechanical stress can be equilibriated in the solid phase when loaded.…”

Section: Introductionmentioning

confidence: 99%

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Threedimensionally patterned, hierarchically and anisotropically structured bacterial cellulose

Gmach

Opdenbosch

2023

Mater. Res. Express

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Structuring cellulosic materials is an important step towards realizing emerging technologies, such as so-called engineered living materials, and improving on established ones, such as tissue engineering. In this work, we present a route for the preparation of cellulose monoliths exhibiting a three-dimensional pattern on the macroscopic scale, together with structural anisotropy in the cellulose fiber level. This was achieved by rheotactic growth, i.e. under flowing medium, of bacterial cellulose over a 3D-printed dissolvable template. The surrounding setup was realized using commercially available components. Here, we report on and discuss structural properties of cellulose monoliths obtained by this process, such as shrinkages during processing, the strut densities of 50 mg cm−3, preferred orientations of cellulose within the struts, and the pore size distributions, which were determined from nanoscale-precision silica replica.

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“…[19,20] In this work, we use the more recent classification [20] which distinguishes between nonauxetics, partial auxetics, and auxetics. Vast potential applications of auxetic materials drive the theoretical and experimental investigations, which branch into auxetic metamaterials, [21][22][23][24][25][26][27][28] models, [16,[29][30][31][32][33][34][35][36][37][38][39][40][41] structures, [42][43][44][45][46][47][48] polymers, [49,50] composites, [51] foams, [52][53][54] and fabrics. [55][56][57][58] Most of the research on auxetics is focused either on developing new materials or searching for auxetic properties in existing ones.…”

Section: Introductionmentioning

confidence: 99%

Poisson's Ratio of f.c.c. Hard‐Sphere Crystals with Cubic Supercells Containing Four Nanochannels Filled by Hard Spheres of Another Diameter

Narojczyk

Tretiakov

Wojciechowski

2022

Physica Status Solidi (b)

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It is known that a face centered cubic (f.c.c.) crystal of identical hard spheres containing a periodic array of nanochannels, oriented along one of the principal crystallographic directions and filled by hard spheres of another diameter, shows a significant decrease of its Poisson's ratio with respect to pristine crystal. This indicates an essential enhancement of auxetic properties by such nanoinclusions. The present work describes studies of the f.c.c. hard‐sphere crystal containing four nanochannel arrays, oriented along the [ 111 ] direction and its images with respect to cubic symmetry group transformations and selected in such a way as to not affect the symmetry of the crystal. The elastic properties of the current model are analyzed under different thermodynamic conditions and for different sizes of inclusions. These studies reveal that the auxetic properties of the system vanish when the diameters of inclusion spheres are greater than the ones forming the matrix f.c.c. crystal and, in the case of the widest nanochannels, also when these diameters are smaller. The studies are performed by Monte Carlo computer simulations in the isothermal–isobaric (NpT) ensemble, using the Parrinello–Rahman approach.

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Poisson's Ratio and Modulus of Gyroid Lattices

Cited by 11 publications

References 33 publications

Nonclassical Thermal Twist of the Chiral Gyroid Lattice

Nonclassical Thermal Twist of the Chiral Gyroid Lattice

Threedimensionally patterned, hierarchically and anisotropically structured bacterial cellulose

Poisson's Ratio of f.c.c. Hard‐Sphere Crystals with Cubic Supercells Containing Four Nanochannels Filled by Hard Spheres of Another Diameter

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