Approximate analytical description of the nonaffine response of amorphous solids

@article{Zaccone2011ApproximateAD,
  title={Approximate analytical description of the nonaffine response of amorphous solids},
  author={Alessio Zaccone and Enzo Scossa-Romano},
  journal={Physical Review B},
  year={2011},
  volume={83},
  pages={1-6}
}
An approximation scheme for model disordered solids is proposed that leads to the fully analytical evaluation of the elastic constants under explicit account of the inhomogeneity (nonaffinity) of the atomic displacements. The theory is in quantitative agreement with simulations for central-force systems and predicts the vanishing of the shear modulus at the isostatic point with the linear law {mu}{approx}(z-2d), where z is the coordination number. The vanishing of rigidity at the isostatic… 

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