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Recently, Vito Diana, Andrea Bacigalupo, Marco Lepidi and Luigi Gambarottaproposed an anisotropic continuum-molecular model based on pair potentials fordescribing the linear behavior of periodic heterogeneous Cauchy materials inthe framework of peridynamic theory. Unfortunately, the proposed model for anisotropic material may have zero or even negative shear stiffness and this willbe the case for Silicene or Germanene, for example. In addition, 2D symmetrieswere confused with 3D symmetries, and hence the limits for the Poisson's ratio.

Comment on "Anisotropic peridynamics for homogenized microstructured  materials" by Vito Diana, Andrea Bacigalupo, Marco Lepidi and Luigi  Gambarotta [Comput. Methods Appl. Mech. Engrg. 392 (2022) 114704]