Identification of Cavities Inside Two-Dimensional Heterogeneous Isotropic Elastic Bodies

In this paper, we discuss the uniqueness in determining cavities (i.e., nonrectilinear cracks) in a heterogeneous isotropic elastic medium in two dimensions. Our main result asserts that there is at most one cavity in the elastic medium which yields the same surface displacements and stresses on an arbitarily small portion of the boundary. The boundaries of cavities are assumed to be piecewise smooth and admit edges where no net force is exerted. The key of the proof is the unique continuation for the isotropic Lamé system and geometric considerations. This revised version was published online in August 2006 with corrections to the Cover Date.     

点阵增强型复合材料夹层结构的力学性能实验与分析

采用真空导入成型工艺,制备出在面板与芯材界面上具有创新构型的点阵增强型复合材料夹层结构。对其面板拉伸性能、夹层结构剪切与平压性能进行了实验研究,得出点阵增强型复合材料夹层结构经树脂柱增强后,剪切与平压性能均得以提高的结论。对不同跨高比复合材料夹层结构开展了三点与四点弯曲实验,研究其典型受力破坏形态与机理。基于Eshelby等效夹杂原理,采用Mori-Tanaka方法求解了点阵增强型复合材料夹层结构经树脂柱增强后的剪切性能。利用经典夹层梁理论和非线性有限元模拟方法,预估了试件抗弯刚度与受弯极限承载力,理论分析与实验结果较吻合。     

Lamb＇s integral formulas of two-phase saturated medium for soil dynamic with drainage

When dynamic force is applied to a saturated porous soil, drainage is common. In this paper, the saturated porous soil with a two-phase saturated medium is simulated, and Lamb＇s integral formulas with drainage and stress formulas for a two-phase saturated medium are given based on Biot＇s equation and Betti＇s theorem （the reciprocal theorem）. According to the basic solution to Biot＇s equation, Green＇s function Gij and three terms of Green＇s function G4i, Gi4, and G44 of a two-phase saturated medium subject to a concentrated force on a spherical coordinate are presented. The displacement field with drainage, the magnitude of drainage, and the pore pressure of the center explosion source are obtained in computation. The results of the classical Sharpe＇s solutions and the solutions of the two-phase saturated medium that decays to a single-phase medium are compared. Good agreement is observed.     

一些磷－氮型极压抗磨添加剂性能的研究

合成了一些磷－氮型极压抗磨添加剂烷基亚磷酸酯胺盐和氮杂环胺盐，并对其油溶性和润滑性等进行了试验研究。结果表明，磷－氮型极压抗磨添加剂的化学结构对其油溶性和极压抗磨性都有较大的影响：烷基链增长有助于油溶性的改善，氮杂环胺盐的油溶性更好；伯胺盐的抗磨性比仲胺盐和叔胺盐的都好，氮杂环胺盐的抗磨性更好；磷－氮型极压抗磨添加剂的减摩性明显比硫化烯烃、烷基亚磷酸酯和苯三唑十八胺的都好，有的在２５０℃时的摩擦系数仅约为０．０４．Ｘ射线光电子能谱和俄歇电子能谱分析发现，磷－氮型极压抗磨添加剂在摩擦表面形成了一种含氮富磷的化学反应膜。其中，元素磷是以磷酸铁的化合态形式存在，而元素氮则是以其原有的价态形式存在，这表明氮参与了整个摩擦过程。在试验研究和分析讨论的基础上，通过综合归纳还提出了磷－氮型极压抗磨添加剂的作用机理模式图。     

Finite <Emphasis Type="Italic">p</Emphasis>-groups with a class of complemented normal subgroups

Assume G is a finite group and H a subgroup of G. If there exists a subgroup K of G such that G = HK and H ∩ K = 1, then K is said to be a complement to H in G. A finite p-group G is called an NC-group if all its proper normal subgroups not contained in Φ(G) have complements. In this paper, some properties of NC-groups are investigated and some classes of NC-groups are classified.     

任意截面波导中截止波长测试的一种新方法

 提出了一种测试任意复杂截面波导截止波长的新方法。该方法利用波导及谐振腔的有关理论,把任意复杂截面波导的截止频率测试问题转化为对波导谐振腔的测试,因而不但在测试中回避了匹配和过渡等难题,而且达到较高精度,非常适合于微波工程设计使用。还提出了对波导衰减以及模式场分布的测试方法。     

一系列薯蓣皂甙元-α-L鼠李糖基-(1→2)和(1→4)-β-D葡萄糖甙的1H和13C NMR归属

用同核和异核二维核磁共振方法全归属了一系列合成的薯蓣皂甙元-α-鼠李糖基-β-D葡萄糖甙的¹H和¹³C核磁共振谱线.这些薯蓣葡萄糖甙是薯蓣皂甙元-β-D葡萄糖甙(1),薯蓣皂甙元-α-L鼠李糖基(1→2)-β-D葡萄糖甙(2),薯蓣皂甙元-α-L鼠李糖基(1→4)-β-D葡萄糖甙(3),薯蓣皂甙元[-α-鼠李糖基-(→2)]-α-L鼠李糖基→-(1→4)-β-D葡萄糖甙(4)以及薯蓣皂甙元[-α-L鼠李糖基-(1→2)]-β-D阿拉伯糖基-(1→4)-β-D葡萄糖甙(5).     

Molecular Dynamic Study for Chiral Discrimination of a -Phenylethylamine by Modified Cyclodextrin in Gas Chromatography

A molecular dynamic method in conjunction with a statistic test has been utilized to model chiral recognition of a -phenylethylamine on heptakis (2,6-di-O-butyl-3-O-butyryl)-b -cyclodextrin in gas chromatography. The modelling data correlated with the chromatographic elution order, and indicated that the preferred site of a -phenylethylamine is the interior of cavity.     

Tb(III) Speciation in Human Blood Plasma by Computer Simulation

With the wide application of rare earth fertilizer and medicines1, more and more rare earths enter into environment, and also into human body via food chain. Now it is very urgent to study the biological effect of rare earths on human health and environment. After entering into human body by whatever route, lanthanide ions are transported to secondary deposition sites mainly via the plasma in the blood stream. So it is very important to study lanthanides speciation in human blood plasma. Becau…