边界元法

It is the purpose of this paper to review the contact problems and some recent developments using BEM.

本文回顾了使用边界元法处理接触问题的情况及目前的研究进展，详细叙述了处理这类问题的理论方法及相应的公式，然后讨论了解决这类问题所采用的边界元法的步骤和各种数值方法，同时给出了的大量的有关接触问题研究的参考文献及作者近期的研究工作，并提出一些有待进一步研究的问题

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。

The main purpose of the dissertation is to introduce the concept of "generalized parameter" to the Boundary Element Method.

本文的创新点在于尝试将"广义参数"的概念引入到边界元法的分析中，尝试探寻边界元法求解断裂力学的新理论和新途径。

The paper studies the application of boundary element method in shape optimization of elastic problems.

应用边界元法的弹性结构灵敏度分析及其形状优化边界元法

To avoid the limits of traditional techniquest,he inverse boundary element methodwas used to accurately identify complex noise sources.

基于逆边界元法的噪声源识别技术，利用边界元法建立了声场与结构表面振动速度之间的声学传递向量。

The elasticity point-force solutions for perfectly bonded elastic halfspaces in literatures are further studied. The compact formulae of displacements and stresses are given, which can be used as Green function in the boundary element method.

对已有的关于双相材料组成空间的弹性力学基本解作了进一步整理，给出了问题的位移场和应力场的显式表达式，此解答可作为Green函数在边界元法中进行使用，从而为使用边界元法研究双相材料中的力学问题奠定了基础。

A convergence acceleration technique based on functional asymptotic expansion and Poisson's summation formula is developed to raise the calculation efficiency of waveguide dyadic Green's functions which are expanded in infinite series.

为此，作者提出"谱展开边界元法"，以求解波导外空间的并矢Green函数；引入边界元法以求解波导壁内折曲缝隙腔的并矢Green函数；并研究了无穷级数的逐级加速收敛变换，以解决波导中Green函数的计算问题。

Using the characteristic of the regular curve boundary for a bending plate in engineering,the analytic integral formulae of assistant states in boundary element method with the linear element for a Kirchhoff circular plate are introduced and the systematic equation of BEM is established in this paper.

利用一般弯曲薄板边界为规则曲线的特点，对工程常用的圆形弯曲薄板，采用线性单元，导出K irchhoff圆板各辅助态的边界积分解析表达式，建立问题的边界元法系统方程，从而使薄板的边界元分析完全避免通常使用的高斯积分，明显提高计算精度。

SFBEM not only retains the advantages of boundary element method, but also avoids solving singular integral equations.

样条虚边界元法是针对传统问接奇异边界元法存在的问题而提出的一种半解析半数值方法。

The linear boundary element method make boundary element into linear segment from linear interpolating function.

线性边界元法是在常数边界元法的基础上，从线性插值函数出发将边界单元按线性分布来进行处理的一种数值方法。

The absorption and distribution of chromium were studied in ryeusing nutrient culture technique and pot experiment.

采用不同浓度K2CrO4(0，0.4，0.8和1.2 mmol/L)的Hoagland营养液处理黑麦幼苗，测定铬在黑麦体内的亚细胞分布、铬化学形态及不同部位的积累。

By analyzing theory foundation of mathematical morphology in the digital image processing, researching morphology arithmetic of the binary Image, discussing two basic forms for the least structure element: dilation and erosion.

通过分析数学形态学在图像中的理论基础，研究二值图像的形态分析算法，探讨最小结构元素的两种基本形态：膨胀和腐蚀；分析了数学形态学复杂算法的基本原理，把数学形态学的部分并行处理理念引入到家实际应用中。