Cheng Shiwang, Lu Yuyuan, Liu Gengxin, Wang Shi-Qing
Department of Polymer Science, University of Akron, Akron, Ohio 44325-3909, USA.
Soft Matter. 2016 Apr 14;12(14):3340-51. doi: 10.1039/c6sm00142d. Epub 2016 Mar 2.
Three different types of experiments, quiescent stress relaxation, delayed rate-switching during stress relaxation, and elastic recovery after step strain, are carried out in this work to elucidate the existence of a finite cohesion barrier against free chain retraction in entangled polymers. Our experiments show that there is little hastened stress relaxation from step-wise shear up to γ = 0.7 and step-wise extension up to the stretching ratio λ = 1.5 at any time before or after the Rouse time. In contrast, a noticeable stress drop stemming from the built-in barrier-free chain retraction is predicted using the GLaMM model. In other words, the experiment reveals a threshold magnitude of step-wise deformation below which the stress relaxation follows identical dynamics whereas the GLaMM or Doi-Edwards model indicates a monotonic acceleration of the stress relaxation dynamics as a function of the magnitude of the step-wise deformation. Furthermore, a sudden application of startup extension during different stages of stress relaxation after a step-wise extension, i.e. the delayed rate-switching experiment, shows that the geometric condensation of entanglement strands in the cross-sectional area survives beyond the reptation time τd that is over 100 times the Rouse time τR. Our results point to the existence of a cohesion barrier that can prevent free chain retraction upon moderate deformation in well-entangled polymer melts.
在这项工作中,我们进行了三种不同类型的实验:静态应力松弛实验、应力松弛过程中的延迟速率切换实验以及阶跃应变后的弹性恢复实验,以阐明缠结聚合物中存在阻止自由链回缩的有限内聚能垒。我们的实验表明,在Rouse时间之前或之后的任何时刻,从阶跃剪切直至γ = 0.7以及从阶跃拉伸直至拉伸比λ = 1.5,都几乎没有加速的应力松弛现象。相比之下,使用GLaMM模型预测了由内置的无阻碍自由链回缩导致的明显应力下降。换句话说,实验揭示了一个阶跃变形的阈值大小,低于该阈值时应力松弛遵循相同的动力学,而GLaMM或Doi-Edwards模型表明应力松弛动力学随阶跃变形大小单调加速。此外,在阶跃拉伸后的应力松弛不同阶段突然施加起始拉伸,即延迟速率切换实验,表明横截面积中缠结链段的几何凝聚在超过Rouse时间τR一百多倍的reptation时间τd之后仍然存在。我们的结果表明存在一个内聚能垒,它可以在缠结良好的聚合物熔体发生适度变形时阻止自由链回缩。