Diffusion, extensibility, flow, and orientation coupling in polymers filled with extensible and flexible fibers
Diffusion, extensibility, flow, and orientation coupling in polymers filled with extensible and flexible fibers
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DOI：
10.1007/s00397-020-01253-1
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发表时间：
2020-11-13
期刊：
影响因子：
3.000
通讯作者：
Ali El Afif
中科院分区：
文献类型：
--
作者：
Said Bentis;Ali El Afif
关键词：
当纤维经受流动和质量传输时，它变形和溶胀，因此其取向和长度相应地改变。作为出发点，提出了一个半动力学方程来描述可延伸纤维的长度和取向随时间的演变。然后，介观模型，明确地纳入流动，传质，和纤维的延伸性和取向的混合物组成的溶剂和纤维增强聚合物（FRP）之间产生的耦合，制定。推导出的控制方程和本构方程具有通用结构，并由迁移率系数和亥姆霍兹自由能密度参数化。后者考虑了纤维的取向有序性、纤维-纤维拓扑相互作用以及纤维的柔性性质。单向流动的质量传输进行了深入的讨论，通过标度分析，数值解，并从文献中选择的吸附数据进行比较。边界的动态也被检查。
When a fiber is subjected to flow and mass transport, it deforms and swells and thus its orientation and length change accordingly. As a starting point, a semi-kinetic equation is proposed to describe the time evolution of the length and orientation of extensible fibers. Then a mesoscopic model, explicitly incorporating the coupling arising among flow, mass transport, and fibers extensibility and orientation in a mixture composed of a solvent and a fiber-reinforced polymer (FRP), is formulated. The derived governing and constitutive equations possess the GENERIC structure and are parameterized by mobility coefficients and the Helmholtz free energy density. The latter takes into account the orientational ordering of the fibers, the fiber-fiber topological interactions, and the flexible nature of the fibers. The unidirectional flow-free mass transport is thoroughly discussed via scaling analysis, numerical solutions, and comparison with sorption data selected from literature. The dynamics of the boundaries is also examined.