Poisson's Ratio and Modulus of Gyroid Lattices
Tyler DeValk, Roderic S. Lakes
Abstract
Gyroid surface lattices of different densities exhibit Young's modulus consistent with stretch‐dominated extremal behavior approaching the Hashin–Shtrikman upper bound. The gyroid lattices exhibit a Poisson's ratio of 0.34 ± 0.06 independent of direction, independent of specimen diameter, and independent of chirality. This behavior is in contrast with prior chiral lattices that exhibited pronounced size effects in Poisson's ratio, allowable for chiral elastic solids.
Topics & Concepts
GyroidPoisson's ratioPoisson distributionModulusMaterials scienceChirality (physics)Bulk modulusElastic modulusAuxeticsMathematicsUpper and lower boundsMathematical analysisPhysicsComposite materialPolymerStatisticsCopolymerQuantum mechanicsNambu–Jona-Lasinio modelChiral symmetry breakingQuarkCellular and Composite StructuresComposite Material MechanicsBlock Copolymer Self-Assembly