arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1602.00840cond-mat.softcond-mat.mtrl-sci
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瞬态polymer网络的应力松弛、动力学和塑性

Stress relaxation, dynamics and plasticity of transient polymer networks

Fanlong Meng, Robyn H. Pritchard, Eugene M. Terentjev

摘要:

我们提出了一个理论框架,用于处理一个短暂的聚合物网络进行小变形,基于网络交联的断裂和重组率和不断发展的弹性参考状态。在此框架下,变形瞬态网络的微观和宏观特征得到了自然的统一。在微观上,交叉连接件的断裂率受作用在链上的局部力的影响。宏观上,我们使用经典的橡胶弹性连续体模型来描述变形能的结构,其参考状态根据交联断裂和形成的时间动态地定义。由此可以得到本构关系。我们研究了三个应用的理论在单轴拉伸几何形状:应力松弛后的瞬时步骤应变施加,应力过冲和随后的衰减时,应变斜坡施加在塑性制度,和周期的拉伸和释放。我们比较模型的预测与实验数据的应力松弛和应力过冲在物理结合的热塑性弹性体和vitrimer网络。

英文摘要:

We propose a theoretical framework for dealing with a transient polymer network undergoing small deformations, based on the rate of breaking and re-forming of network crosslinks and the evolving elastic reference state. In this framework, the characteristics of the deformed transient network at microscopic and macroscopic scales are naturally unified. Microscopically, the breakage rate of the crosslinks is affected by the local force acting on the chain. Macroscopically, we use the classical continuum model for rubber elasticity to describe the structure of the deformation energy, whose reference state is defined dynamically according to when crosslinks are broken and formed. With this, the constitutive relation can be obtained. We study three applications of the theory in uniaxial stretching geometry: for the stress relaxation after an instantaneous step strain is imposed, for the stress overshoot and subsequent decay in the plastic regime when a strain ramp is applied, and for the cycle of stretching and release. We compare the model predictions with experimental data on stress relaxation and stress overshoot in physically bonded thermoplastic elastomers and in vitrimer networks.

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