Elasticity and Conductivity of Foams Based on Triply Periodic Minimal Surfaces

Abstract eng:
Several triply periodic minimal surfaces (TPMS) are used to form novel foams. Unit cells are generated and then their effective elastic moduli and thermal/electrical conductivities are studied using a finite element method under periodic boundary conditions. The uniaxial, bulk and shear moduli, elastic anisotropy and Poisson’s ratio of these TPMS-foams are investigated. The CLP-foam possesses highest anisotropy among the TPMS-foams under study. Furthermore, the Neovius-, IWP-, and Primitive-foams have highest bulk moduli whilst the Primitive-foam has highest shear modulus among all studied foams. The conductivities are found to vary linearly with relative density. The conductivities of the IWP-, Gyroid-, Primitive-, Neovius-, and S-foams are very close to each other. The conductivity of the CLP-foam needs to be quantified by two values while the other foams are found to be isotropic and can be quantified by one value.

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