Affine-nonaffine transition in networks of nematically ordered semiflexible polymers.

Affine-nonaffine transition in networks of nematically ordered semiflexible polymers.
复制标题

向列有序半柔性聚合物网络中的仿射-非仿射转变。

DOI:
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发表时间:
2010
期刊:
Physical review. E, Statistical, nonlinear, and soft matter physics
影响因子:
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通讯作者:
A. Levine
A. Levine
中科院分区:
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文献类型:
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作者:
Andrew R. Missel;Mo Bai;W. Klug;A. Levine

文献摘要

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我们研究了向列有序半柔性网络的力学,表明它们像各向同性网络一样,经历了由细丝长度与非亲和长度之比控制的仿射到非仿射交叉。然而,在非仿射制度的深处,这些各向异性网络表现出更复杂的机械响应,其特征在于高度有序的网络的线性响应制度的消失和剪切方向上的剪切模量的依赖性在小(线性)和有限(非线性)应变,这是不同的正交各向异性连续线性弹性的仿射预测。我们表明,这些功能可以理解的非仿射力学和合作型欧拉屈曲的广义软盘模式分析。
We study the mechanics of nematically ordered semiflexible networks showing that they, like isotropic networks, undergo an affine to nonaffine crossover controlled by the ratio of the filament length to the nonaffinity length. Deep in the nonaffine regime, however, these anisotropic networks exhibit a much more complex mechanical response characterized by a vanishing linear-response regime for highly ordered networks and a dependence of the shear modulus on shear direction at both small (linear) and finite (nonlinear) strains that is different from the affine prediction of orthotropic continuum linear elasticity. We show that these features can be understood in terms of a generalized floppy modes analysis of the nonaffine mechanics and a type of cooperative Euler buckling.