一类连续时间广义边值系统的能控性和能观性

连续时间广义边值系统被描述为Ｅｘ（ｔ）＝Ａｘ（ｔ）＋Ｂｕ（ｔ），Ｖ０ｘ（０）＋Ｖｒｘ（Ｔ）＝ｖ，其中Ｅ是奇异方阵，ｕ（ｔ）满足任意次可微，本文讨论了一类连续时间广义边值系统的有关向内和向外边值过程的两个重要概念，并在此基础上给出了能控性和能观性定义和判别准则．     

Fundamental solutions for half plane with an oblique edge crack

An elastic half plane with an oblique edge crack is considered in this paper. A pair of concentrated forces or point dislocations is assumed to act at an arbitrary point in the half plane. The half plane with an edge crack is first mapped into a unit circle by a rational mapping function so that the following analysis can be carried out on the mapped plane analytically. Then the complex stress functions are derived by separating the whole problem into two parts; one is the principal part corresponding to the infinite plane acted on by concentrated forces or dislocations, the other is the holomorphic part, which can be determined by making use of the property of regularity of complex stress functions. The stress intensity factors of the crack can be calculated with different inclined angles of the crack, and the displacement and stress components at an arbitrary position in the half plane can be expressed explicitly.     

挟沙水流中沙粒对底壁湍流猝发的影响

本文在常规的边界层方程中保留了法向压力梯度项和增加了固粒对流体的使用项，结合Ｂａｔｃｈｅｏｌｒ对交界面提供的分析方法和小扰动稳定性理论，由理论分析和计算得到了包括沙粒之类的悬浮体的尺寸，比重，流动Ｒｅ数，两相速度差以及扰动波数与水流底壁湍流猝发角的关系，计算结果与Ｒａｓｈｉｄｉ等的实验结果相符。文中所得结果有助于进一步了解江河底部水流的流动特性以及泥沙的沉积和输运机理。     

A BOUNDARY INTEGRAL EQUATION AND ITS NUMERICAL SOLUTION OF POTENTIAL FLOW AROUND SURFACE-IRREGULA-RITIES

In this paper,using complex functional theory,the authors turn the potentialflow around the surface irregularities in a pressure conduit and semi-infinite platforms intoDirichlet problem.Based on Schwarz formula and by the application of Plemelj's formula,theauthors change the problem into the integration of a Cauchy boundary integral equation in theflow plane through the substitution of variables.Using numerical integration,the authors obtainthe velocity distribution and pressure coefficient along surface irregularities and platforms.Thephysical concept of this method is clear,the convergent speed is rapid and the computative effi-ciency is high.The calculated values agree well with the measured results.It is an effective andsimple method in solving potential flow.     

Superplastic behaviour of Ti-48at.%Al two-phase titanium aluminide compacts made from mechanically alloyed powder

An HIP compact of MA-processed powder having a nominal composition of Ti-48at.% Al was produced. The compact consisted of a large amount of TiAl(λ) and a small amount of Ti₃Al (₂), in a completely ultra-fine equiaxed grain structure. This two-phase compact showed typical superplastic deformation behaviour. A maximum elongation of 550% was obtained. A strain exponent, n = 2, and grain size exponent, p = 2, were determined from the results of a strain-rate-change test and a creep test at constant initial stress using samples having various grain sizes, respectively. The activation energy for creep, Q_c at constant stress was calculated to be 350 kJ/mole. It is concluded that the superplastic deformation mechanism of the material under study is grain boundary sliding controlled by lattice diffusion in the TiAl phase.     

Microstructural Effects of Ion Implantation on Molybdenum

The effects of ion implantation and subsequent annealing on the microstructure of molybdenum have been investigated by transmission electron microscopy. The ions investigated were carbon, nitrogen, and tellurium. The ion-induced damage was found to give rise to grain boundary migration phenomena both during implantation and during subsequent annealing. Precipitation or ordering was found to occur for each ion on annealing.     

正交曲线坐标下三维代数应力通量模型

针对弯曲及不规则明渠的水动力及物质输运特性，本文建立了曲线坐标系下的三维代数应力通量数学模型，对平面上弯曲及不规则复杂边界情形，采用Poisson方程进行正交曲线坐标变换，各向异性的湍流代数应力通量模型被引用于本文的模拟计算中，以体现复杂边界条件引起的水动力及物质输运特性的变化。通过180度强弯曲明渠水槽及贵溪电厂不规则边界河段物理模型试验两个实例计算表明，实测值与计算吻合良好，效果令人满意。     

A review of error estimation and adaptivity in the boundary element method

When using the boundary element method, the accuracy of the numerical solution depends critically on the discretization of the boundary into elements (panels). The distribution of the panels is one of the most important decisions taken when analyzing a problem, but still the vast majority of users employ empirical guidelines to distribute the panels. This paper reviews the various adaptive schemes that have been proposed for boundary elements. Numerical results are obtained for infinite fluid flow problems and free surface problems and are used to assess the reliability and effectiveness of each method.