Cluster Structure of Collapsing Polymers

In order to better understand the geometry of the polymer collapse transition, we study the distribution of geometric clusters made up of the nearest neighbor interactions of an interacting self-avoiding walk. We argue for this new correlated percolation problem that in two dimensions, and possibly also in three dimensions, a percolation transition takes place at a temperature lower than the collapse transition. Hence this novel transition should be governed by exponents unrelated to the -point exponents. This also implies that there is a temperature range in which the polymer has collapsed, but has no long-range cluster structure. We use Monte Carlo to study the distribution of clusters on the simple cubic and Manhattan lattices. On the Manhattan lattice, where the data are most convincing, we find that the percolation transition occurs at _p =1.461(3), while the collapse transition is known to occur exactly at =1.414.... We propose a finite-size scaling form for the cluster distribution and estimate several of the critical exponents. Regardless of the value of _p , this percolation problem sheds new light on polymer collapse.     

Swelling behaviors of polyelectrolyte hydrogels containing sulfonate groups

Series of maleate monoester and diester monomers based on poly(ethylene glycol) monomethyl ether (MPEG) were copolymerized using the ionizable 2‐acrylamido‐2–methyl propane sulfonic acid (AMPS) via different dose rate of electron‐beam irradiation (40–150 kGy). The crosslinking of the copolymers were carried out in aqueous acidic solutions at pH 1 or in the presence of 1% N,N‐methylene bisacrylamide (MBA) as crosslinking agent. The final equilibrium water content and swelling capacities for the prepared hydrogels were determined in aqueous solutions at pH 1, 6.8, and 12 and in aqueous salt solutions at 298 K. Swelling equilibria for prepared hydrogels were determined in different molar salt solutions of NaCl, KCl, CaCl₂, Na₂SO₄, K₂SO₄, and CaSO₄. The swelling ratios of gels in pure water and in the salt solutions were found to depend on the counterion species in the increasing sequence of Ca²⁺, Na⁺ and K⁺. Copyright © 2002 John Wiley & Sons, Ltd.     

单空泡与自由液面相互作用规律研究进展

空化与空泡溃灭现象普遍存在于自然界、标识码械和生物医学等领域.空泡与自由面相互作用会产生瞬态强烈耦合,涉及到空泡非球形溃灭、自由面非线性变形及失标识码象,是流体力学领域重要的前沿与基础问题. 本文围绕这一热点,从空泡非球形演化和自由面变形规律角度出发,概标识码纳近年该领域的研究进展与成果. 对于近自由面空泡的非球形演化,基于表征开尔文冲量的无量纲参数,重点关注了体积振荡、射流生成、水锤效应及溃灭标识码生成等关键过程,介绍了关键参数的理论建模方法,获得了空泡溃灭过程中能量分配机制. 针对自由液面变形演化,根据细射流和粗射流生成和发展,归纳了 4 种典型现象及特点:透明水层及水柱生成、不稳定与稳标识码水裙结构. 进一步总结了开尔文冲量理论、界面凹陷奇点概念和泰勒不稳定性等理论模型的建立和应用,讨论了气泡溃灭过程、液面标识码界面稳定性等主要机制. 此外,本文也概述了空泡脉动对球状、圆柱状等非平面液面变形行为的影响,归纳了曲率对于液面变形的影响机制. 最后,针对目前研究状况提出该领域研究中尚未解决的问题,期望对将来的空泡及空泡群与自由液面相互作用深入研究提供借鉴.      

冷却塔爆破拆除倾倒解体及振动研究

针对采用复式切口的冷却塔爆破拆除,利用塑性铰理论对冷却塔整个倒塌过程中的运动状态进行深入分析。通过建立塔体触地瞬间的数学模型,以最大线应变理论作为塔壁破碎的力学依据,利用MATLAB数值软件进行分析,得到在塔体触地瞬间,除切口处塔壁发生破碎外,塔壁上部也将发生破碎解体,这与冷却塔实际倒塌过程中的破碎现象相吻合。当被爆物确定后,破碎截面坐标值随塑性铰转动极值的增大而减小。另外,对冷却塔爆破过程中对周围建筑危害最严重的塔体连续塌落进行分析,得出塔体连续塌落诱发的振速峰值随保留区截面塑性铰转动极值的增大而增大。鉴于此,提出对于今后冷却塔爆破应避免整体延期时间过大的建议,从而控制塔体转动角度,降低冷却塔爆破对周围建筑的危害。     

基于疲劳损伤和倒塌事故的导管架平台结构风险分析

基于风险的检验技术已成为海洋工程领域的研究热点,其优势在于优化检验范围,减少检验成本。通过有限元方法对导管架平台结构的疲劳损伤和倒塌失效进行数值计算,并基于可靠性理论对平台结构关键构件的疲劳失效概率以及该构件疲劳破坏后平台结构的整体倒塌失效概率进行确定,形成风险矩阵,以制定相应的检验计划。在此基础上,对南海某导管架平台结构进行了定量风险评估,形成关键节点和构件的风险矩阵,并给出了相应的检验目标以指导制定检验计划。本文工作可为导管架平台结构制定合理高效的检验计划,在保障平台结构安全作业的同时降低运行费用。     

Microphase coexistence in polymeric brushes

A collapse of polymeric brushes in a solvent can be induced by a change in external conditions, for example, solvent quality or its temperature. The systems with following specific interactions are considered in this paper, namely, polyelectrolyte brushes, amphiphilic brushes in a mixture of incompatible solvents, and brushes with possibility of liquid-crystalline ordering of polymer segments. For all the systems it is shown that the brush collapse can be observed under certain conditions, and it occurs through a microphase segregation. There are two microphases of different densities that coexist in the brush. The effect is caused by general properties of the swollen phase of polymeric brush and hence appears at all types of the interactions that can induce a phase transition of the brush into collapsed state.     

超高层建筑受大型高速飞行物撞击所致非连续性坍塌模拟与研究

为了解大型高速飞行物撞击超高层建筑后,建筑物塌落过程及其特征,使用基于颗粒流的PFC3D作为平台对坍塌过程进行模拟。所构建的超高层建筑为核心筒-框架结构,飞行物由较大的三个颗粒组成,其撞击速度为720km/h,撞击高度为建筑侧面250m和100m。研究了撞击物进入层间运动的特征,及在两种高度撞击后的坍塌过程。模拟结果表明,飞行物非直接撞击核心筒时建筑不会发生整体破坏,核心筒的受撞破坏是建筑坍塌破坏的关键。建筑高处受撞击后坍塌可分为两个阶段,其现象和原因各不相同。指出了建筑高处和低处受撞坍塌过程的三点不同。最后分析了撞击塌落后的地面影响范围及特征。     

Quantum Collapse and Revival of Atom in Mode-Mode Competing System

The atomic inversion dynamics in the mode-mode competing system is studied by means of fully quantum theory. A general solution to the Schrödinger equation of this system is obtained. The influence of the relative competing strength between the atom and the two-mode field on the atomic inversion is disccussed. We show that the presence of the mode-mode competition can result in periodical collapses-revivals of the atomic inversion.     

固壁面附近激光产生空泡脉动过程的实验研究

采用自行研制的光纤传感器研究了激光等离子体空泡在固壁面附近的脉动特性。实验获得了激光空泡三次膨胀到最大位置对应的波形图;并据此判定了激光空泡在脉动过程中对应的最大泡半径和溃灭周期;在此基础上结合空泡溃灭理论,计算了激光泡溃灭周期的延长因子κ。结果表明:随着脉动次数的增加,最大泡半径依次减小;随着作用激光能量的增大,最大泡半径,空泡溃灭周期的延长因子κ均增大;而无量纲参量的增大将导致延长因子的减小。所得到的延长因子同样可用于无限域流场。     

Collapse and swelling of poly(N‐isopropylacrylamide‐co‐sodium acrylate) copolymer brushes grafted on a flat SiO2 surface

Poly(N‐isopropylacrylamide‐co‐sodium acrylate) copolymer brushes grafted on SiO₂‐coated quartz crystal surface were prepared with a surface‐immobilized initiator. The collapse and swelling of the thermally sensitive copolymer brushes in water were studied with quartz crystal microbalance in situ. The frequency and dissipation changes with the temperature increasing in the range 20–38 °C indicate that the brushes undergo a continuous collapse transition. Our results show that the copolymer brushes collapse to a state where the brushes were prepared. A hysteresis was observed in the cooling process. Fourier transform infrared (FTIR) results revealed that the formation of some additional hydrogen bonds within the copolymer chains at their collapsed state is responsible for the hysteresis. © 2006 Wiley Periodicals, Inc. J Polym Sci Part B: Polym Phys 44: 770–778, 2006