A finite element parallel algorithm of the parametric variational principle for elastic contact problems

Basetl on the finite element solution of the parametric varialional principle of elastic con/del problem, a corresponding parallel algorithm has been created bv utilizing the specialities of parallel computer and the architecture of concurrent processing in this paper. In this algorithm. the parallelisms have heen realized in the processes of creation and assembly of stiffness matrix, of the static condensation, of the solution of stresses and in many other aspects. The programme of this algorithm has been realized on ELXSI-6400 parallel computer of Xi'an Jiaotong University. The results of computation show that the computational time can be saved efficiently and it is an effective parallel algorithm for the analyses of contact problems.     

弹性接触问题参数变分原理的有限元并行算法*

本文基于弹性接触问题的参数变分原理的有限元解法,利用并行计算机的特性和并行处理结构,建立了相应的并行算法.该算法从刚度阵的生成和组集,静凝聚过程,求应力过程等多方面实现了并行化.该算法在西安交通大学ELXSI-6400并行计算机上程序实现,计算结果表明能有效地节省计算时间,是一种分析接触问题的有效的并行算法.     

A weighted penalty finite element method for the analysis of power-law fluid flow problems

In this paper, a new finite element method for the flow analysis of the viscous incompressible power-law fluid is proposed by the use of penalty-hybrid/mixed finite element formulation and by the introduction of an alternative perturbation, which is weighted by viscosity, of the continuity equation. A numerical example is presented to exhibit the efficiency of the method.The Project Supported by the National Natural Science Foundation of China.     

Ab Initio Studies on the Structure and Binding Interaction of M~ CO_2(M=Sc,Ti…Zn)

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不同反荷离子的Keggin结构钼磷酸盐的热稳定性及其对异丁醛催化氧化活性的影响

用共沉淀法制备了以Keggin结构为骨架的不同反荷离子钼磷酸盐,利用FTIR、XRD等手段进行了表征。结果表明,Li、Na、K、Cs分别作为反荷离子时的杂多酸盐的热稳定性依次增强,并考察了催化剂对异丁醛一步氧化制甲基丙烯酸的催化活性,其中Cs盐的催化活性最优。     

铅球飞行轨迹方程的微分解及应用

本文根据运动学原理建立了铅球轨迹方程,考虑铅球落点位置,利用微积分和三角函数理论求出手角极值和最大飞进距离,得出了最佳出手角、最大飞进距离与出手点高度初速度之间简单表达式,并通过计算制成了最佳出手角、最大飞进距离表。     

The strain energy criterion of mixed-mode brittle fracture

In this paper, we proposed a new cr tenon or mixea-moae brittle fracture, i.e., the strain energy criterion, which can be stated as (K_Ⅰ/K_Ⅰc)² +(K_Ⅰ/K_Ⅰc)²+(K_Ⅱ/K_Ⅱc)²=1. This criterion is shown to be in good agreement with known experimental data.In this paper, an experimental criterion:(K_Ⅰ/K_Ⅰc)^m+(K_Ⅱ/K_Ⅱc)ⁿ=1, 1≤_n^m≤2.is also proposed.     

Characterization of a Poly(2‐oxazoline) Library by High‐Throughput,Automated Contact‐Angle Measurements and Surface‐Energy Calculations

Summary: The feasibility of automated, high‐throughput contact‐angle measurements is demonstrated using a modified commercial contact‐angle measuring apparatus. Droplets are automatically dispensed, analyzed and aspirated. The system automatically measures more than 100 contact angles per hour using two test liquids, and calculates surface energies using the equation of state method. A library of poly(2‐oxazoline) homo‐ and block copolymers was investigated. Polymers with a 2‐nonyl‐2‐oxazoline block were found to have considerably lower surface energies.

Setup used here for characterization of the surface properties of a library of poly(2‐oxazoline) homo‐ and block copolymers.     

两位置交换问题魔角旋转核磁共振时域信号的准确解

已知两位置交换分子运动速率对于静态¹³CNMR谱的影响是由一简单代数关系决定,它已成为分析固体中分子运动的常规方法.慢速的魔角旋转可以保留边带,所产生的边带型原则上也可用来分析分子运动,只是缺乏象静态谱那样的简单的关系,以至于在实际应用上是不可行的.本文给出作者所发现的存在分子运动时魔角旋转核磁共振自由诱导衰减信号的解析表达式的理论推导,提供分析固体分子运动的理论谱计算公式.我们选择二甲矾(dimethylsulfone)作为模型化合物,记录其不同温度下¹³CNMR谱,又计算了两个甲基做两位置交换运动的理论谱.理论谱与实验谱定性一致.定量上,边带强度存在一些差别,但边带宽度符合很好.通过理论谱与实验谱的比较,得到交换速率与温度的对应关系.虽然本文限于化学位移各向异性相互作用两位置交换问题,但容易推广到偶极作用多位置交换问题.     

测量透明管壁厚的理论研究

透明管（如玻璃管）壁厚几何尺寸的公差大小是玻管生产中产品质量优劣的重要指标之一;因此透明管的壁厚测量的精度尤为重要。根据光矢量场的电磁场理论仔细分析了透明管在平面光波中的透射和反射的光学特性;并研究其能量分布。用ＣＣＤ作接收器件,进行非接触测量实验系统实验,将理论值与实验值相比较,提出了精确测量透明管壁厚的可行性方法