Higher-order analysis of crack-tip fields in power-law hardening materials

In this paper, we present an exact higher-order asymptotic analysis on the near-crack-tip fields in elastic-plastic materials under plane strain, Mode I. A four- or five-term asymptotic series of the solutions is derived. It is found that when 1.6 < n less-than-or-equal-to 2.8 (here, n is the hardening exponent), the elastic effect enters the third-order stress field; but when 2.8< n less-than-or-equal-to 3.7 this effect turns to enter the fourth-order field, with the fifth-order field independent. Moreover, if n>3.7, the elasticity only affects the fields whose order is higher than 4. In this case, the fourth-order field remains independent. Our investigation also shows that as long as n is larger than 1.6, the third-order field is always not independent, whose amplitude coefficient K3 depends either on K1 or on both K1 and K2 (K1 and K2 arc the amplitude coefficients of the first- and second-order fields, respectively). Firmly, good agreement is found between our results and O'Dowd and Shih's numerical ones[8] by comparison.

Higher-order analysis of crack tip fields in elastic power-law hardening materials

A HIGHER-ORDER asymptotic analysis of a stationary crack in an elastic power-law hardening material has been carried out for plane strain, Mode 1. The extent to which elasticity affects the near-tip fields is determined by the strain hardening exponent n. Five terms in the asymptotic series for the stresses have been derived for n = 3. However, only three amplitudes can be independently prescribed. These are K1, K2 and K5 corresponding to amplitudes of the first-, second- and fifth-order terms. Four terms in the asymptotic series have been obtained for n = 5, 7 and 10; in these cases, the independent amplitudes are K1, K2 and K4. It is found that appropriate choices of K2 and K4 can reproduce near-tip fields representative of a broad range of crack tip constraints in moderate and low hardening materials. Indeed, fields characterized by distinctly different stress triaxiality levels (established by finite element analysis) have been matched by the asymptotic series. The zone of dominance of the asymptotic series extends over distances of about 10 crack openings ahead of the crack tip encompassing length scales that are microstructurally significant. Furthermore, the higher-order terms collectively describe a spatially uniform hydrostatic stress field (of adjustable magnitude) ahead of the crack. Our results lend support to a suggestion that J and a measure of near-tip stress triaxiality can describe the full range of near-tip states.

Plastic stress-strain fields and blunting effects during large deformations

Plastic stress-strain fields of two types of steel specimens loaded to large deformations are studied. Computational results demonstrate that, owing to the fact that the hardening exponent of the material varies as strain enlarges and the blunting of the crack tip, the well known HRR stress field in the plane strain model can only hold for the stage of a small plastic strain. Plastic dilatancy is shown to have substantial effects on strain distributions and blunting. To justify the constitutive equations used for analysis and to check the precision of computations, the load-deflection of a three-point bend beam and the load-elongation of an axisymmetric bar notched by a V-shaped cut were tested and recorded. The computed curves are in good accordance with experimental data.

Magnetostatic relations including fluctuation fields - the local expansion

Using the approach of local expansion, we analyze the magnetostatic relations in the case of conventional turbulence. The turbulent relations are obtained consisten tly for themomentum equation and induction equation of both the average and fluctuation relations.In comparison with the magnetostatic relations as discussed usually, turbulent fluctuationfields produce forces, one of which 1/(4π)(α1×B0)×B0 may have parallel and perpendicular components in the direction of magnetic field, the other of which 1/(4π)K×B0 is introduced by the boundary value of turbulence and is perpendicular to the magnetic field. In the case of 2-dimensional configuration of magnetic field, the basic equation will be reduced into a second-order elliptic equation, which includes some linear and nonlinear terms introduced by turbulent fluctuation fields. Turbulent fields may change the configuration of magnetic field and even shear it non-uniformly. The study on the influence of turbulent fields is significant since they are observed in many astrophysical environments.

The influence of fluctuation fields on the force-free field .2. The local expansion

In Paper I (Hu, 1982), we discussed the the influence of fluctuation fields on the force-free field for the case of conventional turbulence and demonstrated the general relationships. In the present paper, by using the approach of local expansion, the equation of average force-free field is obtained as (1+b)×B 0=(#x002B;a)B 0#x002B;a (1)×B 0#x002B;K. The average coefficientsa,a (1),b, andK show the influence of the fluctuation fields in small scale on the configurations of magnetic field in large scale. As the average magnetic field is no longer parallel to the average electric current, the average configurations of force-free fields are more general and complex than the usual ones. From the view point of physics, the energy and momentum of the turbulent structures should have influence on the equilibrium of the average fields. Several examples are discussed, and they show the basic features of the fluctuation fields and the influence of fluctuation fields on the average configurations of magnetic fields. The astrophysical environments are often in the turbulent state, the results of the present paper may be applied to the turbulent plasma where the magnetic field is strong.

The magnetostatic relations including fluctuation fields

The influences of the fluctuation fields are important in many astrophysical environments as shown by the observations, and can not be neglected. On the basis of the first-order smoothing approximation, in the present paper, we demonstrate the magnetostatic equations for both the cases of the conventional turbulence aud the random waves, and discuss the consistent conditions of the equations. In the static problem, the fluctuation Lorentz force(▽×δB)×δB influences the large-scale configurations of magnetic field. To study this influence in detail is quite necessary for the explanations of the observation features, especially for the astrophysical environments where the magnetic fields, including the fluctuation fields, are the dominant factors in the equilibrium of momentum and energy.

Visual Basic在油藏数值模拟中的应用

随着油藏数值模拟技术的发展以及油藏数值模拟软件的不断改进和完善,油藏数值模拟软件在油田开发中的应用越来越广泛。对油藏数值模拟软件计算出的数据进行整理不仅枯燥而且花费了大量时间。本文利用Visual Basic语言编制了处理ECLIPSE软件生成的油气田开发指标数据软件(RSMAN)。该软件方便了油气田开发指标的整理和汇总,软件界面友好,操作简单。

Real-Time Measurement on Deformation Fields of Hole-Excavated Samples under Impact Tension

In this paper, the real-time deformation fields are observed in two different kinds of hole-excavated dog-bone samples loaded by an SHTB, including single hole sample and dual holes sample with the aperture size of 0.8mm. The testing system consists of a high-speed camera, a He-Ne laser, a frame grabber and a synchronization device with the controlling accuracy of I microsecond. Both the single hole expanding process and the interaction of the two holes are recorded with the time interval of 10 mu s. The observed images on the sample surface are analyzed by newly developed software based on digital correlation theory and a modified image processing method. The 2-D displacement fields in plane are obtained with a resolution of 50 mu m and an accuracy of 0.5 mu m. Experimental results obtained in this paper are proofed, by compared with FEM numerical simulations.

Characteristics of flow fields induced by interfacial waves in two-layer fluid

When designing deep ocean structures, it is necessary to estimate the effects of internal waves on the platform and auxiliary parts such as tension leg, riser and mooring lines. Up to now, only a few studies are concerned with the internal wave velocity fields. By using the most representative two-layer model, we have analyzed the behavior of velocity field induced by interfacial wave in the present paper. We find that there may exist velocity shear of fluid particles in the upper and lower layers so that any structures in the ocean are subjected to shear force nearby the interface. In the meantime, the magnitude of velocity for long internal wave appears spatially uniform in the respective layer although they still decay exponentially. Finally, the temporal variation for Stokes and solitary waves are shown to be of periodical and pulse type.

Visual C++ 6.0学习教程

MicrosoftVisualC十十6.0作为Microsoft Visual Studio的重要组成部分，包含了迄今为止功能最为强大的基于Windows的应用框架，在同类产品中处于领先地位。VisualC十十6.0是Microsoft迄今为止最全面、最完善的程序开发工具，为了适应各种编程风格，该软件提供了各种各样的辅助工具，在发挥编程能力和提高灵活性方面达到了空前的水平。与以往VisualC十十的各种版本相比较，VisualC十十6.0在编程环境、程序语言技术等方面做了许多改进，从而使VisualC十十更加适合专业程序员快速进行应用程序的开发。

本书内容丰富、图文并茂，是一本适合各种读者学习VisualC十十6.0的优秀参考书。

目 录
第一章 VisualC十十6.0简介及安装
1.1VisualC十十6.0新特性
1.2viSualC十十6.0开发环境简介
1.3如何学习使用VisualC十十6.0
1.4VisualC十十6.0的安装
第二章 走进C十十的世界
2.1类和对象的简介
2.2继承和多态性――一个具体的例子
2.3内嵌对象
2.4在栈中申请对象
2.5全程对象的申请
2.6对象之间的相互关系――指针数据成员
2.7this指针的使用
2.8对指针的引用
2.9友元类和友元函数
2.10静态类成员
2.11重载运算符
2.12从代码中分离出类定义
2.13匈牙利表示法
第三章 VisualC十十6.0的编程环境
3.1VisualC十十6.0主窗口
3.2VisualC十十6.0工具栏
3.3VisualC十十6.0菜单栏
3.4项目与项目工作区
3.5资源与资源编辑器
第四章 编一个最简单的VC十十程序
4.1什么是AppWizard？
4.2迎接你的第一个AppWizard程序
4.3“Iamaprogrammer.”在哪儿？
第五章 程序框架入门
5.1一个简化过的程序框架
5.2WinMain（）：第一个动作
5.3登记窗口类
5.4创建一个窗口
5.5显示窗口
5.6显示出那条消息
5.7窗口类与窗口对象
第六章 消息循环
6.1在消息循环中兜圈子
6.2对事件做出响应：WindowFun（）
6.3响应不同的消息
6.4现在你还跟得上吗？
6.5设备界面进行交互
第七章 精通程序框架
7.1WinMain（）函数在哪儿？
7.2应用程序框架和源文件
7.3工具条、状态条和打印等选项
7.4程序的控制流程
第八章 使用classWizard编程
8.1使用ClassWizard添加消息处理函数
8.2classWizard功能介绍
8.3传送鼠标消息
8.4保存鼠标绘图的信息
第九章 视图与文档
9.1Document－View模式
9.2从视图中分离出文档
9.3保存文档
9.4再访MyProg2.cpp
第十章 对象连接与嵌入（OLE）及其自动化
10.1公共对象模式（COM）
10.2类厂（classfactory）
10.3OLE自动化
10.4IDispatch接口
第十一章 动态连接库（DLLs）
11.1为什么使用DLL
11.2传统的DLL
11.3MFC库DLL
11.4MyProg4A――编写自己的类库扩展DLL
11.5MyProg4B――使用MFC库扩展DLL
11.6资源访问
第十二章 图形设备接口
12.1设备环境类
12.2GDI对象
12.3Windows的颜色映射
12.4映射方式
12.5字体
12.6MyProg3例程序
12.7MyProg3B程序
12.8MyPr0g3C例程序――使用CScrollView
第十三章 对话框
13.1在状态条上显示对话控件的帮助信息
13.2利用Fi1eOpen通用对话框打开多个文件
13.3定制通用文件对话框
13.4扩展和缩减一个对话框
13.5显示一个模式或无模式对话框
13.6编写定制的DDX/DDV例程
第十四章 剖析工具Spy十＋
14.1窗体
14.2消息
14.3进程与线程
第十五章 代码调试
15.1TRACE
15.2调试框架
15.3自我诊断
15.4调试代码的作用
15.5用Dump（）显示对象的信息
15.6检查内存

Beam splitter entangler for light fields

We propose an experimentally feasible scheme to generate various types of entangled states of light fields by using beam splitters and single-photon detectors. Two beams of light fields are incident on two beam splitters respectively with each beam being asymmetrically split into two parts in which one part is supposed to be so weak that it contains at most one photon. We let the two weak output modes interfere at a third beam splitter. A conditional joint measurement on both weak output modes may result in an entanglement between the other two output modes. The conditions for the maximal entanglement are discussed based on the concurrence. Several specific examples are also examined.