In Situ Tests of Multiwalled Carbon Nanotubes with Strength Close to Theoretical Predictions

Using MEMS technology and transmission electron microscopy we show experimentally multiwalled carbon nanotubes with a mean fracture strength of larger than 100 GPa, which exceeds the earlier observations by a factor of approximately 3. These results are in excellent agreement with quantum-mechanical estimations. This performance is made possible by omitting chemical treatments from the sample preparation process, thus avoiding the formation of defects. High-resolution imaging is used to directly determine the number of fractured shells and the ehirality of the outer shell. Electron irradiation at 200keV for 10, 100 and 1800s lead to improvements of the maximum sustainable loads by factors of 2.4, 7.9 and 11.6 compared with non-irradiated samples of similar diameter. This effect is attributed to crosslinking between the shells. This procedure is a cost effective way of customizing the properties of multiwall nanotubes for many applications of interest ranging from nanocomposites to nanodevices.     

一类二阶多点边值问题正解的存在性

利用锥上不动点定理讨论了二阶常微分方程组多点边值问题正解的存在性，所得结论推广了最近的一些结果．     

C-连通序列下模糊显示偏好公理满足程度的研究

在C-连通序列下给出模糊选择函数C满足显示偏好公理WAFRP°、SAFRP°及公理HAFRP的程度,并讨论了它们之间的关系以及它们与一致性公理程度WFCA (C)和SFCA(C)之间的关系.     

对一道探究型试题的研究

解题的能力是中学数学教师的基本能力,能够在抓住图形的结构和题目的本质特征前提下,进行一题多解、一题多变、多解归一的研究,对提高青年教师的解题研究能力、促进数学教师专业化水平的提升,有重要的促进作用.     

三用定积分

定积分是新课标的新增内容,它不仅为传统的高中数学注入了新鲜血液,还给学生提供了数学建模的新思路、用数学的新意识,通常利用定积分可以求平面图形的面积、变速直线运动的路程及变力作功等.另外,利用定积分也能证明不等式,下面举例说明.     

考虑渗透系数变化的地下结构温度-渗流耦合分析

地下岩体的温度随着深度的增加呈逐渐上升的趋势，在地下水的作用下，岩体温度-渗流耦合作用明显。分析了地下岩体温度场与渗流场间的相互作用效应，考虑流体渗流和岩体骨架本身的热传导作用以及温度梯度所产生的渗流作用，并计入温度对水体运动粘滞系数及岩体渗透率的影响，给出了完整的基于连续介质模型的地下岩体温度-渗流耦合数学模型。借助...     

[Cu(2,2''-bpy)Cl2]和[Cu(1,10-phen)C12]在多金属氧酸盐上的多相化:选择性氧化四氢化萘的新催化剂

Mononuclear Cu(II)bipyridine(1)and phenantroline complexes(2)were synthesized and immobilized by different procedures on H3PW12O40 polyoxometalate(POM).Characterization by XRD and SEM-EDX were performed to assess the preservation of the Keggin structure and stoichiometry of the complex.The immobilized complexes were tested as heterogeneous catalysts for the partial oxidation of tetralin(1,2,3,4-tetrahydronaphthalene)using hydrogen peroxide as oxidant in acetonitrile/water as solvent.[Cu(2,2'-bpy)Cl][H2PW12O...     

基于多目标最优化混合按订单生产和提前生产策略库存模型算法

考虑了包含多阶段和多家零售商在内的混合按订单生产(Produce-to-Order)和提前生产(Produce-in-Advance)策略库存模型.将这一模型推广至多种产品情况下,当需求为正态分布时,将这一问题转化为一类多目标约束最优化问题,并给出两种算法来解决这一问题.     

基于ERP的(s,S)策略下库存优化控制决策支持系统

针对当前ERP软件系统无法动态地给出优化订购策略并对历史数据进行有效的分析等不足,以最小化库存费用为目标建立起折扣准则下库存优化数学模型,对ERP软件中导出的各类历史数据进行模型化分析,动态地得出各类产品(s,S)结构形式的优化订购策略.基于该模型设计并开发了库存优化控制决策支持系统,为用户提供决策支持,很大程度降低了企业库存费用.