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arXiv 1012.5588cond-mat.softcond-mat.stat-mech
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动态应变下线性polymer的结构、分子动力学和应力

Structure, molecular dynamics, and stress in a linear polymer under dynamic strain

Prashant Kumar Srivastava, Kartik Venkatraman

摘要:

线性聚合物的结构性质及其随时间的演化与其各向异性应力响应有很大关系。均方键长和平均键角是影响聚合物中时变应力的关键参数。键长沿链的分布是均匀的,在末端没有任何突变。在密度、温度、应变速率和链长等外部设定参数中,聚合物的密度和链长对应力有显著影响。在高密度值下,均方键长的变化主导了回转半径和端到端长度的变化。换句话说,键变形占主导地位,而不是尺寸和形状的变化。此外,均方键长也有很大的变化,反映为应力的跳跃。超过一个特定的值的链长,$n = 50$,称为纠缠长度,应力响应被发现有明显不同的行为,我们归因于纠缠效应。短链聚合物的行为或多或少类似于刚性分子。当加载时,其内部结构没有显著变化。此外,温度和加载速率对应力有非常温和的影响。除了这些新的结果,我们现在可以解释众所周知的聚合物的动态载荷下的力学行为的观点的演变的分子动力学和衍生的结构性能。这可能导致具有所需机械行为的聚合物合成。

英文摘要:

The structural properties of a linear polymer and its evolution in time have a strong bearing on its anisotropic stress response. The mean-square bond length and mean bond angle are the critical parameters that influence the time-varying stress developed in the polymer. The bond length distribution along the chain is uniform without any abrupt changes at the ends. Among the externally set parameters such as density, temperature, strain rate, and chain length, the density as well as the chain length of the polymer have a significant effect on the stress. At high density values, changes in mean-square bond length dominates over changes in radius of gyration and end-to-end length. In other words, bond deformations dominate as opposed to changes in size and shape. Also, there is a large change in the mean-square bond length that is reflected as a jump in the stress. Beyond a particular value of the chain length, $n = 50$, called the entanglement length, stress-response is found to have distinctly different behavior which we attribute to the entanglement effects. Short chain polymers more or less behave like rigid molecules. There is no significant change in their internal structure when loaded. Further, temperature and rate of loading have a very mild effect on the stress. Besides these new results, we can now explain well known polymeric mechanical behavior under dynamic loading from the point of view of the evolution of the molecular dynamics and the derived structural properties. This could possibly lead to polymer synthesis with desired mechanical behavior.

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