Approximate analytical description of the nonaffine response of amorphous solids

By A. Zaccone, Enzo Scossa-Romano. 2011

210 citations recorded by the source corpus.

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 point is shown to be a consequence of the canceling out of positive affine and negative nonaffine terms.

Subfields: Condensed Matter Physics, Geophysics, Materials Chemistry

View Paper: https://www.semanticscholar.org/paper/ac8e719b200b8f3bbf5c5b4ef8c9de361875f629

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Condensed Matter Physics

In Materials Chemistry

Citations in the corpus

Edwards Statistical Mechanics for Jammed Granular Matter (2016, background): “The observed scaling of the shear modulus has been reproduced in models of disordered solids by taking into account the non-affine response within an approximate analytical scheme (Zaccone and Scossa-Romano, 2011).”
Universal spectrum of normal modes in low-temperature glasses (2015, background): “Many attempted to explain the observed spectrum of eigenvalues by replacing the true statistical ensemble with some simpler ones, in which correlations are neglected or treated in approximate ways [2, 3, 4, 5, 6, 7, 8, 9, 10, 11].”