Effective-medium theory of a filamentous triangular lattice
Effective-medium theory of a filamentous triangular lattice
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DOI：
10.1103/physreve.87.042601
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发表时间：
2013-04-09
影响因子：
2.4
通讯作者：
Lubensky, T. C.
中科院分区：
文献类型：
--
作者：
Mao, Xiaoming;Stenull, Olaf;Lubensky, T. C.
我们提出了一个有效介质理论，包括弯曲以及拉伸力，我们用它来计算一个稀释的丝状三角形晶格的机械响应。在这个晶格中，键是中心力弹簧，并且在同一细丝上的相邻键之间存在弯曲力。我们调查的稀释晶格中，每个键是本与概率p。我们发现一个刚性阈值p（B），它具有相同的值为所有的正弯曲刚度和交叉特征的弯曲，拉伸，弯曲-拉伸耦合弹性制度控制的中心力刚性渗透点在p（CF）类似或等于2/3的晶格时，纤维弯曲刚度消失。
We present an effective-medium theory that includes bending as well as stretching forces, and we use it to calculate the mechanical response of a diluted filamentous triangular lattice. In this lattice, bonds are central-force springs, and there are bending forces between neighboring bonds on the same filament. We investigate the diluted lattice in which each bond is present with a probability p. We find a rigidity threshold p(b) which has the same value for all positive bending rigidity and a crossover characterizing bending, stretching, and bend-stretch coupled elastic regimes controlled by the central-force rigidity percolation point at p(CF) similar or equal to 2/3 of the lattice when fiber bending rigidity vanishes.