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In order to reasonably depict four basic problems with friction, one Coulomb friction new form in first Kirchhoff stress is proposed to deal with finite deformation problems, other Coulomb friction form in incremental mode to elastoplastic flow theory; Hilbert function spaces concerning elastoplastical problems with friction are established, so it makes all operations and calculations in the treatise standardized within the scope of reasonably topologic structure; In view of functional extremum, the equivalence between generalized variational inequalities principles in elastoplasticity with friction and corresponding basic problems are testified by inducing Lagrangian multipliers, so it provides a rationally theoretical basis for numerical methods in elastoplasticity with friction; From the viewpoint of variational inequality, the theory of generalized variational inequalities in elasticity and elastoplasticity with frictional constraint is studied, and the uniqueness and existence of the solution of FEM is proofed under the proposed conditions of stress compatibility, and them FEM approximation and a discrete solution are discussed; Based on the principles of generalized variational inequalities in elastoplasticity with friction, direct generalized variational inequalities methods is pretended, which is a natural generalization and development of direct variational methods; Using generalized variational inequalities methods, some examples in metal forming including plane deformation, upset and extrusion are analyzed and the results prove that all the theories and methods in the paper are right, feasible, accurate and advanced.

主要内容有：为了合理地描述金属塑性成形中摩擦约束弹性、弹塑性基本问题，提出和研究了有限变形下以Kirchhoff第一应力表示的Coulomb摩擦定律形式和弹塑性流动理论下以增量形式表示的Coulomb摩擦定律表示形式；系统建立了摩擦约束弹塑性问题的Hilbert函数空间，使本文规范在一个具有合理的代数拓扑结构内进行一切操作和运算；利用Lagrange乘子，从泛函极值的角度系统地阐述和论证了一系列摩擦约束弹性、弹塑性广义变分不等原理与相应的实际问题之间的等价性，它为处理摩擦约束的弹塑性力学数值方法提供了合理的理论基础；从变分不等式的角度出发，阐述了对应于摩擦约束弹性、弹塑性问题的广义变分不等式理论，首次提出了在应力相容性条件下，它的有限元解具有存在唯一性，进而讨论了其有限元近似及离散解法；基于摩擦约束弹塑性广义变分不等式原理，首次提出了直接广义变分不等式方法，这一方法是直接变分法的合理推广和发展；利用直接广义变分不等式方法对金属压力加工中的平面变形问题、镦粗、挤压等塑性成形问题进行了分析计算，验证了该理论和数值算法的正确性、实用性、精确性和优越性。

It is proved that the two-dimensional non-hydrostatic Boussinesq equations on the x ? z plane with the kinetic viscous term and the thermal dissipative term are unstable equations in the C 2 function class.2. If we replace the influence of the kinetic viscous term by Rayleigh friction and the thermal dissipative term by Newton cooling, the new generalized equations are stable equations in the C 1 function class. The construction of the solution space and the discriminating method for well-posedness of the problem of determining solution are given.

本文的主要结果如下：1证明了在y方向上均匀的带有运动粘性项以及热耗散项的两维非静力、Boussinesq近似的x-z面上两维旋转流体的控制方程组在C 2函数类中是一个不稳定的方程组。2如果以瑞利摩擦来代替粘性的影响，以牛顿冷却来代替热量的耗散，则所获得的一个新的方程组在C 1函数类中是一个稳定的方程组，给出了其解空间的构造和各种定解问题的适定性的判别方法。

Regarding to the multi-granularity of and analysis demand of stock index futures transaction data, this article proposed a classification method based on support vector machines. Tangent plane solution of support vector machines is established by introducing geometrical solution. Therefore, investors can be classified based on straightforward transaction data.

针对股指期货成交数据的多粒度性以及成交数据分析的需求，本文提出在解决噪声、多粒度数据分类问题方面有突出优越性的支持向量机分类方法，引入几何求解方式，提出了支持向量机的切平面解法，根据成交数据直观地对投资者进行分类。

Our result shows that the best double couple solution of this Mw5.2 event is 315°,64°and 19°for strike,dip and slip angles respectively,the second nodal plane solution is 214°,74°, and 152°.The focal depth is 25±2km,suggesting that this quake occurred in the lower crust which is much deeper than most continental earthquakes.This lower crust earthquake requires that the rock should be colder than expected.We proposed generation mechanism of this deep earthquake and its implications in rock strength and thermal state.

我们以此速度结构作为模型，利用中国国家地震台网5个台站的宽频带地震数据，采用CAP方法反演2003年8月16日赤峰地震震源机制解并初步确定震源深度：再利用IRIS 9个台站远震体波数据，通过对比高频(0.7～2.0Hz)理论地震图和观测记录的方法进一步精确确定震源深度并验证反演得到的机制解，得出此次地震矩震级为5.2，震源机制解为：节面I：315°/64°/19°，节面Ⅱ：216°/74°/152°，震源深度为25±2km，已深达下地壳。

With this velocity model and broadband records from 5 CDSN stations, we inverted focal mechanisms of Chifeng earthquake on August 16th, 2003 with the "Cut and Paste" method. Then we confirmed focal depth and the source mechanisms by comparing synthetic body waves at teleseismic distance with broadband records of 9 IRIS stations. Our result shows that the best double couple solution of this M w5.2 event is 315°, 64° and 19°for strike, dip and slip angles respectively, the second nodal plane solution is 216°,74°, and 152°. The focal depth is 25±2 km, suggesting that this quake occurred in the lower crust which is much deeper than most continental earthquakes.

我们以此速度结构作为模型，利用中国国家地震台网5个台站的宽频带地震数据，采用CAP方法反演2003年8月16日赤峰地震震源机制解并初步确定震源深度；再利用IRIS 9个台站远震体波数据，通过对比理论计算和观测记录的方法进一步精确确定震源深度并验证反演得到的机制解，得出此次地震矩震级为5.2，震源机制解为：节面I：315°/64°/19°，节面II：216°/74°/152°，震源深度为25±2 km，已深达下地壳。

By using this solution, a plane curved beam subjected to uniform vertical loads and torsions was analyzed. The accuracy and the efficiency of present theory were demonstrated by comparing its numerical results with Hems' solution.

将该解答应用于受均布扭矩和竖向分布荷载的平面曲线梁的分析，将所得结果与Heins解答进行比较，证明了理论的正确。

This work gives the general solution for the generalized two-dimensional problem of piezoelectric media, and then presented the solution for the corresponding plane problem as a special example. Moreover, a detailed discussion is made about the relation between two theories.

本文推导了一般各向异性压电介质广义二维问题的 Lekhnitskii 理论，作为其特例，给出了压电介质平面问题的解法；并系统地总结了所建立的 Lekhnitskii 理论与 Stroh 理论的内在联系及各自的特点。

The exact solution for unlimited long strip plane membrane is obtained by analytical method,and discussed with the approximate solution by energy method.

在垂直于板的载荷作用下，平衡方程为σx2wx2+σy2wy2+2τ2wxy=qh[2]。这个方程虽然是在变形后建立的，但载荷的大小和方向是不变的。

King-used washing machines Lower absorption law, the use of detergent added to the aqueous solution is in use at the same time fume emission will usually automatically with the aqueous solution of emulsifying oil mist and saponification reaction also been placed material washing down fuel from combustion of hazardous substances and cooking process generated fumes from aqueous solution by the majority and purification.

水帘式净油烟机采用洗涤吸收法，利用添加有洗涤剂的水溶液，在吸排油烟的同时自动将雾化的水溶液与油雾发生乳化和皂化反应，烟尘也同时被润湿洗涤下来，燃料燃烧时产生的有害物质及烹饪过程中产生的油烟绝大部分被水溶液中和净化。

The Frechet derivative of the cost function is determined via the solution of an adjoint partial differential equation, and the boundary shape is then modified in a direction of descent. This process is repeated until an optimum solution is approached. The advantage is that the cost function variation is independent of the flow field variation, with the result that the gradient of cost function with respect to arbitrary number of design variables can be determined without the need for additional flow-field evaluations. So each design cycle requires the numerical solution of both the flow and the adjoint equations leading to a computational cost roughly equal to the cost of two flow solutions.

虽然他们的研究成果大多数都可以在公开性文献上看到，但是其中一些具体的细节问题的处理方法却没有透露，比如：伴随方程如何离散求解才能减小最终梯度计算中的误差，使得设计过程有效地进行；伴随方程与流动方程的边界条件是不同的，如何合理地处理伴随方程的边界条件，才能推动设计过程朝着设计目标而发展；在减阻问题中目标函数如何定义，求解梯度的具体数学公式如何推导，如何通过数值方法来实现它们等。

Chinese traditional virtue is humility and wariness,the compliment and praise to the others should be declination

中国人的传统美德是谦虚谨慎，对别人的恭维和夸奖应是推辞。如

We bought this house on the never-never.

我们以分期付款的方式买下这座房子。