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Based on the fundamental solution of plane piezoelectric problems and the basic thought of the virtual boundary element method for elasticity, this paper presents a virtual boundary element-equivalent collocation method for plane piezoelectric materials.

利用压电材料平面问题的基本解和弹性力学虚边界元方法的基本思想，提出了压电材料平面问题的虚边界元-等额配点解法。

In chapter 2,all kinds of numerical methods of computational fracturemechanics are summarized,the development histories and present situation ofboundary collocation method,boundary integral method,finite difference method,boundary element method and finite element method are expounded,and theapplication of finite element method in fracture mechanics are emphaticallydiscussed.

第二章 总结了计算断裂力学中各种数值方法，论述了边界配位法、边界积分法、有限差分法、边界元法及有限元法的发展历史和现状，并着重讨论了有限元法在断裂力学中的应用。

Problem of deciding solution whose boundary condition is given is called boundary problem.

在本文中，讨论的均为发展方程的柯西问题。

Analysis system of boundary integral equation based on the above mentioned accurate boundary condition was set up.

建立了基于准确的边界条件的边界积分方程分析体系，最终得到开口结构的应力分布。

In order to decrease the reflection of wave on the boundary, spongy condition was used on top boundary.

为了减少波在边界上的反射，顶部边界采用了海绵边界条件。

boundary line of transaction curve ; parametric equation of coordination ; length of boundary line

本文导出了缓和曲线边线的坐标参数方程及边线长度

Constructing triangle surface which interpolates the boundary curve and cross-boundary slopes on a triangle is the basic problem in computer aided geometric design, computer graphics and so on.

在三角形域上构造对边界曲线和跨界导数插值的三角曲面是计算机辅助几何设计和计算机图形学等领域中的基本问题。

Based on the analysis of the characteristics of the compensation directions for boundary curve s in rapid prototyping direct slicing, a new method, which can determinate the compensation direction by converting the boundary curve to beeline polygon,is proposed.

在分析快速成型制造中直接切片真实边界曲线补偿方向特点的基础上，提出了一种将曲线边界转化为直线多边形进行补偿方向判定的方法，并阐述了该判定方法的几何意义。

According to the boundary curve features of the object, all kinds of boundaries sign patterns of the object are setup and used to train the second RBFNN, so as to tangent points, inflection points with low curvature and boundary types.

根据工件边缘曲线的特征，建立了各种边缘的曲率符号模型，用该模型训练第二个RBFNN，从而识别具有低曲率的切点和拐点及边缘曲线的类型。

Based on the analysis of the characteristics of the compensation directions for boundary curves in rapid prototyping direct slicing, a new method, which can determinate the compensation direction by converting the boundary curve to beeline polygon, is proposed. The geometric signification of the polygonal method is demonstrated.

在分析快速成型制造中直接切片真实边界曲线补偿方向特点的基础上，提出了一种将曲线边界转化为直线多边形进行补偿方向判定的方法，幷阐述了该判定方法的几何意义。

Salt is good, but if the salt becomes flat and tasteless, with what do you season it?

14：33 盐本是好的，盐若失了味，可用什么叫它再咸呢？

He reiterated that the PLA is an army of the people under the leadership of the Communist Party of China.

他重申，人民解放军是在中国共产党领导下的人民军队。