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Application of activated barrier hopping theory to viscoplastic modeling of glassy polymers

机译：活化势垒跳跃理论在玻璃态聚合物粘塑性建模中的应用

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摘要

An established statistical mechanical theory of amorphous polymer deformation has been incorporated as a plastic mechanism into a constitutive model and applied to a range of polymer mechanical deformations. The temperature and rate dependence of the tensile yield of PVC, as reported in early studies, has been modeled to high levels of accuracy. Tensile experiments on PET reported here are analyzed similarly and good accuracy is also achieved. The frequently observed increase in the gradient of the plot of yield stress against logarithm of strain rate is an inherent feature of the constitutive model. The form of temperature dependence of the yield that is predicted by the model is found to give an accurate representation. The constitutive model is developed in two-dimensional form and implemented as a user-defined subroutine in the finite element package ABAQUS. This analysis is applied to the tensile experiments on PET, in some of which strain is localized in the form of shear bands and necks. These deformations are modeled with partial success, though adiabatic heating of the instability causes inaccuracies for this isothermal implementation of the model. The plastic mechanism has advantages over the Eyring process, is equally tractable, and presents no particular difficulties in implementation with finite elements.
机译：已建立的无定形聚合物变形的统计力学理论已作为塑性机制纳入本构模型，并应用于一系列聚合物机械变形。正如早期研究中所报道的那样，PVC拉伸屈服的温度和速率相关性已被建模为高精度。对此处报道的PET拉伸实验进行了类似的分析，并且也获得了良好的精度。本构模型的固有特征是屈服应力与应变速率对数关系的斜率中经常观察到的增加。发现模型预测的产量的温度依赖性形式可以给出准确的表示。本构模型以二维形式开发，并作为用户定义的子例程在有限元程序包ABAQUS中实现。该分析被应用于PET的拉伸实验，其中一些应变以剪切带和颈的形式局部化。对这些变形进行了部分成功的建模，尽管绝热的不稳定性加热导致该模型的等温实施不准确。塑性机构相对于Eyring工艺具有优势，同样易于处理，并且在使用有限元实现时没有特别困难。

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