STATISTICAL MECHANICS OF POLYMERIZED MATERIAL
STATISTICAL MECHANICS OF POLYMERIZED MATERIAL
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DOI：
10.1088/0370-1328/92/1/303
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发表时间：
1967-01-01
影响因子：
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通讯作者：
EDWARDS, SF
中科院分区：
文献类型：
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作者：
EDWARDS, SF
有人认为，由完全缠绕的长链分子组成的固体将显示出类似于交联体的弹性性质，即硫化材料，只要在与蠕变时间相比短的周期内研究弹性模量。导出了一个合适的自由能公式，并对一个模型进行了计算，在该模型中，每条链被限制在由其他链形成的环境中。在变形的情况下，这个环境发生了变化，可以推导出弹性能。如果ε1、ep2、ep3是主应变，则由聚合物纠缠产生的自由能部分为ΔF=-BκT(epsilon 1 2+epsilon 2 2+epsilon 3 2)L(σL/m)1/2，其中B是数值常数，L是聚合物的总长度，σ是聚合物的密度，L是制造聚合物的一个亚分子的有效长度和质量。文中还给出了任意尺寸应变情况下的表达式。
It is argued that a solid consisting of fully entangled long chain molecules will show elastic properties similar to those of cross linked, ie vulcanized material, provided that elastic moduli are studied in periods short compared with creep times. An appropriate formula for the free energy is deduced, and calculated for a model in which each chain is confined to an environment formed by the others. Under deformation this environment changes and the elastic energy can be deduced. If epsilon 1, epsilon 2, epsilon 3 are the principal strains, that part of the free energy due to the polymer entanglements is shown to be ΔF=-BκT (epsilon 1 2+ epsilon 2 2+ epsilon 3 2) L (σl/m) 1/2 for small strains, where B is a numerical constant, L is the total length of polymer present, σ the density of polymer, and l, m the effective length and mass of one of the submolecules from which the polymer is made. An expression is also given for the case of a strain of arbitrary size.