非线性二阶奇异边值问题正解存在的充分必要条件

研究了奇异二阶边值问题u^n a(t)f(u) b(t)g(u)=0,au(0)-βu′(0)=0,γu(1) δu′(1)=0的正解，在a(t),b(t)只满足一定的可积性条件下得到了C^1[0,1]正解存在的充分必要条件，从而推广了一些已知结构，使此类问题的适用范围更为广泛。     

正方形弹性夹杂对裂纹应力强度因子的影响

研究无限弹性体中正方形弹性夹杂对裂纹应力强度因子的影响，给出了问题的新边界积分方程，对典型问题进行了边界元计算，所得结果表明：裂纹的应力强度因子随着夹杂弹性模量的增大而减小，软夹杂有利于裂纹的扩展，而刚性较大的夹杂对裂纹有抑制作用。     

双解析函数的Riemann边值逆问题

给出双解析函数的一类Riemann边值逆问题正则型与非正则型情况的提法。基于双解析函数的正则型Riemann边值问题，讨论了双解析函数Riemann边值逆问题正则型情况的可解性，得到了该边值逆问题的可解性结论：当问题的指标κ≥0时，该边值逆问题具有2κ 1个线性无关解；当指标κ＜0时，该边值逆问题只有零解，即双解析函数的正则型Riemann边值逆问题的一般解具有2κ 1个自由度。     

中国省界线形成的地理背景

从自然和人文两个角度对中国省界线形成的地理背景进行了分析，得出分界线的形成是自然，政治，历史，民族，经济等因素综合作用的结果，同时分析在某些因素影响下省界线存在的问题，并相应提出了一些建议。     

B-样条曲面的G1连续性

得到了关于两个双三次内部重结点B-样条曲面片G1连续的充分必要条件和在公共边界线上控制向量的本征条件,这些条件直接由两个B-样条曲面的控制向量表示.利用本文所给的条件,得到了具有局部性质且是真正G1光滑的曲面模型.     

边界曲线摄动的双解析函数的Riemann边值问题

讨论了双解析函数Riemann边值问题的解在区域边界L发生光滑摄动时的稳定性问题。     

Compact difference approximation with consistent boundary condition

For simulating multi-scale complex flow fields it should be noted that all the physical quantities we are interested in must be simulated well. With limitation of the computer resources it is preferred to use high order accurate difference schemes. Because of their high accuracy and small stencil of grid points computational fluid dynamics (CFD) workers pay more attention to compact schemes recently. For simulating the complex flow fields the treatment of boundary conditions at the far field boundary points and near far field boundary points is very important. According to authors' experience and published results some aspects of boundary condition treatment for far field boundary are presented, and the emphasis is on treatment of boundary conditions for the upwind compact schemes. The consistent treatment of boundary conditions at the near boundary points is also discussed. At the end of the paper are given some numerical examples. The computed results with presented method are satisfactory.     

边界单元法三维应力分析计算程序

以三维弹性力学问题的基本解 (Kelvin解 )为基础开发了边界单元法三维弹性应力分析计算程序 ,并对其进行了验证。结果表明 ,该程序可用来求解三维弹性应力问题 ,尤其适用于三维应力集中问题。程序中采用动态分配内存 ,自动选点积分 ,并利用分块解法求解方程组 ,有效地节省了计算机资源 ,扩大了求解问题的规模。     

自动绘制沉积微相图算法设计

成功地给出了沉积微相边缘追踪算法和边缘线生成算法。根据相带连通边界井之间的位置关系 ,将每一口边界井的周围生成的一系列单元控制线连接起来就可以画出沉积边缘线 (相带线 )。单元相带线的形状是由 3个控制点的位置决定的。针对沉积微相图上各种错综复杂的微相叠合及接触关系 ,系统地归纳和设计了 2 0 0多条规则。应用这些规则和算法 ,可以准确地求出相带线的位置。特别是运用控制线单元的生成技术 ,用户通过鼠标在屏幕上拾取控制线单元的控制点就可以实现人机交互功能。同时 ,向量成图技术使得成果图件的复用、修改和再生成为可能。实际应用结果表明 ,计算机自动绘制沉积微相图软件的绘图效果能够满足地质工作的需求。     

Shakedown Analysis of 3-D Structures Using the Boundary Element Method Based on the Static Theorem

The static shakedown theorem was reformulated for the boundary element method (BEM) rather than the finite element method with Melan‘s theorem, then used to develop a numerical solution procedure for shakedown analysis. The self-equilibrium stress field was constructed by a linear combination of several basis self-equilibrium stress fields with undetermined parameters. These basis self-equilibrium stress fields were expressed as elastic responses of the body to imposed permanent strains obtained using a 3-D BEM elastic-plastic incremental analysis. The lower bound for the shakedown load was obtained from a series of nonlinear mathematical programming problems solved using the Complex method. Numerical examples verified the precision of the present method.