We correct a mistake in the coefficients of a transformation matrix and accordingly update the subsequent calculations and the conclusions of our paper (Giusteri and Penta, 2022). We conclude that arrangements of spherical inclusions of isotropic materials in an isotropic matrix based on a rhomboidal cell that generates the Face-Centered Cubic lattice produce effectively isotropic composites if and only if an additional condition is satisfied. This condition entails the vanishing of a single component of the effective elasticity matrix. In spite of numerical evidence, we could not prove that this condition is always satisfied.

Corrigendum to “Periodic rhomboidal cells for symmetry-preserving homogenization and isotropic metamaterials” [Mech. Res. Commun. 126 (2022) 104001] (Mechanics Research Communications (2022) 126, (S0093641322001331), (10.1016/j.mechrescom.2022.104001))

Giusteri G. G.
;
2024

Abstract

We correct a mistake in the coefficients of a transformation matrix and accordingly update the subsequent calculations and the conclusions of our paper (Giusteri and Penta, 2022). We conclude that arrangements of spherical inclusions of isotropic materials in an isotropic matrix based on a rhomboidal cell that generates the Face-Centered Cubic lattice produce effectively isotropic composites if and only if an additional condition is satisfied. This condition entails the vanishing of a single component of the effective elasticity matrix. In spite of numerical evidence, we could not prove that this condition is always satisfied.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11577/3515847
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