乙烯系自由基聚合阻聚效应(XⅧ)──哌啶氮氧自由基氨基硫脲化合物与通用阻聚剂混合对MMA阻聚效应研究

本文研究了3种1-(芳酰基)-4[4'-(2,2,6,6-四甲基哌啶)-1-氧自由基]氨基硫脲化合物(ATSCPO)分别同通用阻聚剂(CIH),如对苯二酚(HQ)、苯醌(BQ)、吩噻嗪(PT)及二乙羟胺(DEHA)组成的混合阻聚剂对AIBN引发的MMA自由基聚合的影响。研究结果表明:当[ATSCPO]/CIH=5:1时,除ATSCPO-BQ外,其余阻聚效果均较ATSCPO和CIH单独用作阻聚剂时高,如聚合反应诱导期延长、聚合速率下降、聚合物粘均分子量变小等,表明ATSCPO和CHI间有协同效应。通过对阻聚因素的考察,得出阻聚剂的活性次序为ATSCPOHQ>ATSCPO-PT>ATSCPO-DEHA≈ATSCPO-BQ.     

Effects of correlated perturbations on dark soliton propagation and interaction

Correlated perturbations are considered in a dark soliton system, and their effects on soliton propagation and interaction are investigated numerically. These perturbations result in large sidebands, lead to submergence of dark soliton, and enhance the interaction. The correlation amplifies these effects and shortens the distance until submergence. The comparison of the distinction is made between the degradations of these effects on dark soliton and the corresponding bright soliton. It is found that these effects on dark soliton are less than those on bright soliton. Finally the nonlinear gain is introduced to suppress efficiently these effects.     

Correlation between randomly varying birefringence and random dispersion map in a dispersion-managed soliton system

The correlation between perturbations caused by randomly varying birefringence and a random dispersion map is considered in a dispersion-managed soliton system, and their effects on soliton propagation and interaction are investigated numerically. These perturbations lead to the disintegration of a soliton, and enhance the interaction between solitons. The correlation plays an important role, and reinforces these effects. Furthermore, there is a stochastic resonance between two perturbations in the system; here the effect is the largest, and the corresponding distance until disintegration is the shortest. Finally, nonlinear gain and a filter are introduced to effectively suppress these effects.     

扩展有限元法(XFEM)及其应用

扩展有限元法(extended finite element method,XFEM)是1999年提出的一种求解不连续力学问题的数值方法, 它继承了常规有限元法(CFEM)的所有优点, 在模拟界面、裂纹生长、复杂流体等不连续问题时特别有效, 短短几年间得到了快速发展与应用. XFEM与CFEM的最根本区别在于, 它所使用的网格与结构内部的几何或物理界面无关, 从而克服了在诸如裂纹尖端等高应力和变形集中区进行高密度网格剖分所带来的困难, 模拟裂纹生长时也无需对网格进行重新剖分.重点介绍XFEM的基本原理、实施步骤及应用实例等, 并进行必要的评述. 单位分解概念保证了XFEM的收敛, 基于此, XFEM通过改进单元的形状函数使之包含问题不连续性的基本成分, 从而放松对网格密度的过分要求. 水平集法是XFEM中常用的确定内部界面位置和跟踪其生长的数值技术, 任何内部界面可用它的零水平集函数表示. 第2和第3节分别简要介绍单位分解法和水平集法;第4节和第5节介绍XFEM的基本思想、详细实施步骤和若干应用实例, 同时修正了以往文献中的一些不妥之处; 最后, 初步展望了该领域尚需进一步研究的课题.