Rathi Pankaj, Kyu Thein
Department of Polymer Engineering, University of Akron, Akron, Ohio 44325, USA.
Phys Rev E Stat Nonlin Soft Matter Phys. 2009 Mar;79(3 Pt 1):031802. doi: 10.1103/PhysRevE.79.031802. Epub 2009 Mar 16.
A hypothetical phase diagram of a crystalline polymer/photoreactive monomer mixture has been calculated on the basis of phase field (PF) free energy of crystal solidification in conjunction with Flory-Huggins (FH) free energy of liquid-liquid demixing to guide the morphology development during photopolymerization of poly(ethylene oxide)/triacrylate blend. The self-consistent solution of the combined PF-FH theory exhibits a crystalline-amorphous phase diagram showing the coexistence of solid+liquid gap bound by the liquidus and solidus lines, followed by an upper critical solution temperature at a lower temperature. When photopolymerization was triggered in the isotropic region, i.e., slightly above the crystal melting transition temperatures, the depressed melting transition line moves upward. When it surpasses the reaction temperature, both crystallization and phase separation occur. The temporal evolution of phase morphology is examined in the context of time-dependent Ginzburg-Landau equations coupled with the energy balance (heat conduction) equation using the aforementioned PF-FH free-energy densities. Of particular interest is that the emerged morphology in the crystalline blends depends on the competition between dynamics of liquid-liquid phase separation and/or liquid-solid phase transition (i.e., crystallization) and photopolymerization rates.
基于晶体凝固的相场(PF)自由能并结合液-液分层的弗洛里-哈金斯(FH)自由能,计算了结晶聚合物/光反应性单体混合物的假设相图,以指导聚环氧乙烷/三丙烯酸酯共混物光聚合过程中的形态发展。PF-FH组合理论的自洽解呈现出一个结晶-非晶相图,显示出由液相线和固相线界定的固+液间隙共存,随后在较低温度下出现上临界溶液温度。当在各向同性区域(即略高于晶体熔融转变温度)引发光聚合时,压低的熔融转变线向上移动。当它超过反应温度时,结晶和相分离都会发生。使用上述PF-FH自由能密度,在与能量平衡(热传导)方程耦合的时间相关金兹堡-朗道方程的背景下,研究了相形态的时间演变。特别值得关注的是,结晶共混物中出现的形态取决于液-液相分离和/或液-固相变(即结晶)动力学与光聚合速率之间的竞争。