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