On a three-dimensional axisymmetric boundary-value problem of nonlinear elastic deformation: Asymptotic solution and exponentially small error

In this paper, we study a three-dimensional axisymmetric boundary-value problem of a slender cylinder composed of a nonlinearly elastic material subjected to an axial force. Starting from the field equations, after a transformation and proper scalings, we identify a small variable and two small parameters, which characterize the present problem. Then, by an approach involving compound series-asymptotic expansions, a nonlinear ODE is derived, which governs the axial strain (the first-term in the series expansion). By imposing the zero radial displacement conditions at two ends, we manage to get the analytical solution of the axial strain, from which all other physical quantities can be deduced and thus the three-dimensional displacement field can be determined. Graphical results are presented, which show that there are two boundary layers near the two ends while the middle part is in a state of almost uniform extension. The asymptotic structure of the analytical solution is derived, which offers clear explanations to the structure of the deformed configuration and shows that the thickness of both boundary layers is of the order of the radius. We also point out the relevance of the present results to the St. Venant’s problem. In particular, we obtain the explicit uniformly-valid exponentially small error term, when the obtained deformed configuration is compared to the configuration of a uniform extension.     

化学还原法制备纳米铜粉的研究

本文采用KBH4在液相中化学还原CuSO4,并加入KOH和络合剂EDTA ,制得了纳米级的纯净的铜粉 ,通过调整反应物的浓度 ,可以消除Cu2 O等杂质。制备的纳米铜粉还存在一定程度的团聚 ,需试验加入分散剂来改善。     

求非线性方程近似解的逐次迭代法

本文提出了求解非线性问题的一种新方法——逐次迭代法，本方法先是给出一个初始近似解，然后将这个近似解进行校正迭代，使之接近于真实解，把一个非线性问题转化为一个线性问题来解决。     

PVDF中空纤维滤膜的形态结构

用Ｌ－Ｓ相转换法制备了聚偏氟乙烯（ＰＶＤＦ）中空纤维不对称滤膜。铸膜液由聚合物、溶剂和添加剂组成。用电子显微镜（ＳＥＭ）考察了聚合物浓度、添加剂用量及种类对膜形态结构的影响。实验结果表明，聚合物浓度对膜形态结构有显著影响，当铸膜液中聚合物浓度较低时，无论用什么种类添加剂，都能形成大、且多的孔，但孔的形状随添加剂不同而异。当恒定聚合物浓度时，添加剂的用量对膜形态结构有很大的影响，但孔的大小及多少与添加剂含量的多少不成正比。     

一类广义耦合的KdV方程组的整体吸引子

利用Sobolev插值不等式和关于时间t的先验估计，研究了一类广义耦合的具有周期初值问题的KdV方程，得到了整体解和整体吸引子的存在性。     

糠醛注水——润滑油糠醛精制装置的节能途径

介绍了用水稀释糠醛使润滑油糠醛精制装置节能的途径。通过注水——糠醛－水溶液（含水９５％左右），可降低糠醛的气化沸点，增大换热系统的传热温差，改善换热效果，更多地回收能量，达到节约能源的目的。     

RADIATION FIELD FROM A RECTANGULAR PLAQUE SOURCE FOR RADIATION PROCESSING

Evaluation of the Hubbell integral for an omnidirectional detector response to a rectangular plaque gamma emitting radiation source using a different numerical computation method on a personal computer was made. For a plaque consisting of several strip gamma emitters, exposure rates at different positions above the source were calculated using 'exact' evaluation and an approximate method. Optimization method is used to find source activity of each strip, so as to acquire desirable dose uniformity of the irradiated products. In uses of the Hubbell integral, by introducing appropriate programming, computation time can be saved.     

Morphology and structure of poly(p-phenylene terephthalamide) crystallized from dilute organic solution

The high-temperature crystallization of poly(p-phenylene terephthalamide) (PPTA) from dilute organic solutions was achieved through the introduction of a non-solvent, or precipitating agent, at the desired crystallization temperature. The morphology and crystal structure were examined for crystals produced from PPTA polymer with two different molecular weights (M_w = 46000 and 3430 g mol⁻¹), using transmission electron microscopy. For the high-molecular-weight polymer, ribbon-like crystals were produced, while the low-molecular-weight polymer yielded small needles or platelets. In both cases, electron diffraction showed that the Northolt allomorph was obtained. For the high-molecular-weight polymer, the molecular axes were parallel to the ribbon axes in a chain-extended type structure. A hypothesis for the orientation of the low-molecular-weight PPTA in the small platelets, is also given.     

复合功能原理方案特征建模及其求解过程研究

研制了驱动、传动和分离等典型功能原理方案解的知识库，建立了复合功能产品原理解的特征模型，提出了复合功能原理求解的通用进`生平注解和接口匹配并行的策略，进而提出原理解接口特征的嵌套结构及其匹配进程，开发了一个复合功能产品原理方案求解的计算机支持平台，进行了实例验证。