Approximate analytical description of the nonaffine response of amorphous solids
Approximate analytical description of the nonaffine response of amorphous solids
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DOI：
10.1103/physrevb.83.184205
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发表时间：
2011-02
影响因子：
3.7
通讯作者：
A. Zaccone;Enzo Scossa-Romano
中科院分区：
文献类型：
--
作者：
A. Zaccone;Enzo Scossa-Romano
模型无序固体的近似方案，提出了导致充分的分析评价下明确考虑原子位移的不均匀性（nonaffinity）的弹性常数。该理论是在定量协议与模拟中心力系统和预测消失的剪切模量在均衡点与线性法律{mu}{approx}（z-2d），其中z是坐标数。在均衡点的刚度消失示出的正仿射和负非仿射项的抵消的后果。
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.