裂纹面无磨擦接触的弹塑性界面裂尖应力场

本文通过对弹塑性幂硬化双材料界面裂纹尖端应力场的高阶渐近分析，获得了裂纹面无磨擦接触的裂尖一阶和二阶应力场解答，位移场在界面处呈现交叉匹配是本文解答的一个重要特点，最后结果表明，当界面上下材料的硬化指数之差大于１时（即ｎ１－ｎ２＞１时），二阶应力场角分布为一常数解；而当０＜ｎ１－ｎ２≤１时，二阶应力场角分布函数则随θ变化而变化。     

条形装箱问题的优化模型和增广Lagrange算法

This paper formulates a two-dimensional strip packing problem as a non-linear programming(NLP)problem and establishes the first-order optimality con-ditions for the NLP problem.A numerical algorithm for solving this NLP problemis given to find exact solutions to strip-packing problems involving up to 10 items.Approximate solutions can be found for big-sized problems by decomposing the setof items into small-sized blocks of which each block adopts the proposed numericalalgorithm.Numerical results show that the approximate solutions to big-sized prob-lems obtained by this method are superior to those by NFDH,FFDH and BFDHapproaches.     

Multiple—Scattering of Near—Edge x—ray Absorption Fine Structure of Sulphur—Passivated InP（100） Surface

We use the multiple-scattering cluster method to calculated the sulphur 1s near-edge x-ray absorption fine structure (NEXAFS) of S-passivated InP(100) surface.The physical origins of the resonances in the NEXAFS have been unveiled.It is shown that the most important resonance is attributed to the photoelectron scattering between the central sulphur and the nearest indium atoms.The studies show that two S-S dimers with the bond lengths of 2.05A and 3.05A coexist in the surface,meanwhile the bridge and antibridge site adsorption of single S could not be ruled out.We support the scanning tunnelling microscopy result that the S-passivated InP(100) surface exhibits significant discorder.     

非线性Schroedinger方程的包络形式解

扩展了最近提出的F展开方法以构造非线性演化方程更多的精确解，即将F展开法中的一阶非线性常微分方程和单变量的有限幂级数代之以类似的一阶常微分方程组和两个变量的有限幂级数，这两个变量是一阶常微分方程组的解分量．作为例子，用扩展的F展开法解非线性Schroedinger方程，得到了很丰富的包络形式的精确解，特别是以两个不同的Jacobi椭圆函数表示的解．显然，扩展的F展开方法也可以解其他类型的非线性演化方程．     

Ⅱ型平面动力裂纹线场的弹塑性精确解

本采用线场分析方法对理想弹塑性Ⅱ型平面应力裂纹裂纹线附近的应力场及弹塑性边界进行了精确分析，本完全放弃了小范围屈服条件，探讨了弹塑性边界上弹塑性应力场匹配条件的正确提法，通过将裂纹线附近塑性区应力场的通解（而不是过去采用的特解）与弹性应力场的精确解（而不是通常的裂尖应力强度因子Ｋ场）在裂纹线附近的弹塑性边界上匹配，本得出了塑性区应力场，塑性区长度及弹塑性边界的单位法向量在裂纹线附近的足够精确     

微裂纹扩展中的分形现象及其计算机仿真

本文探讨了采用仿真技术研究微裂纹连接过程和生成分形断口表面的可行性，发展了用于仿真微裂纹随机生长行为的ＧＯ模型的基本构相，并进行了计算机仿真实验，由此得出了一此有的结论。     

Extension of Isometries Between the Unit Spheres of Normed Space E and C（Ω）

In this paper, we study the extension of isometries between the unit spheres of normed space E and C（Ω）. We obtain that any surjective isometry between the unit spheres of normed space E and C（Ω） can be extended to be a linear isometry on the whole space E and give an affirmative answer to the corresponding Tingley＇s problem （where Ω be a compact metric space）.     

快中子照相中的点扩展函数计算

 快中子照相中，基于反冲核原理探测快中子的有机闪烁体平板是普遍采用的快中子辐射转换体。模拟了D-T中子垂直入射BC400闪烁体平板，计算了不同厚度平板闪烁体的点扩展函数，对14.1 MeV快中子照相中闪烁体固有分辨率随厚度的变化进行了研究。计算结果表明，在不考虑二次中子与闪烁体作用及背景噪声等情况时，点扩展函数几乎不依赖于闪烁体厚度。同时，计算还表明在一定的分辨率范围内，由于荧光收集效率的限制，闪烁体厚度增加并不会改善图像对比度。