When FEA model was formed, the quadratic singular elements of the tip of the crack were formed by node to element.
在建立有限元模型时对于裂纹尖端的单元，采用节点—单元的方式生成二次奇异单元。
One could write a plethora of articles on this campaign and how well it was run, but today we're focusing on one singular element; match pledges.
有人可能会撰写大量有关这个项目以及它如何运行的文章，但今天我们只关注它的一个特别元素：匹配资金。
The influence of inclusion on crack Stress Intensity Factor(SIF) of Powder Metallurgy(PM) FGH 95 was investigated using singular element method with fine mesh at crack front.
采用有限元方法中的奇异单元，研究了当粉末高温合金FGH 95中存在由夹杂引起的裂纹时，夹杂对裂纹应力强度因子的影响；
The stiffness matrix of a hybrid crack-tip singular element is first derived, then by use of first-order Taylor expansion the mean and variance of stress intensity factors are formulated.
文中首先给出了杂交模式的裂纹尖端奇异单元的刚度矩阵，然后基于随机场的局部平均理论和一阶泰勒展开得到了应力强度因子均值和方差的计算公式。
The characteristic of this model is: a new interface edge singular element model is derived based on the numerical fundamental solutions obtained from the finite element eigensolutions method.
该模型的独特之处在于：基于有限元特征法得到的奇异性场数值特征解建立了一种新型界面端奇异单元。
Furthermore, each element in the singular stiffness matrix can be expressed by some more simple analytic formulas.
而且奇异单元刚度矩阵中的各元素可以用较简单的分析式表出。
The singular integration will affect the precision of the result while the Boundary Element Method (BEM) is used in calculating sound radiation.
边界元法应用于计算辐射声场时，由于奇异积分的存在，会影响到计算结果的精度。
Using the interpolation models for both singular crack tip elements and other crack linear elements, the boundary element formulas of the torsion rigidity and stress intensity factors were given.
利用裂纹尖端的奇异元和线性元插值模型，给出了扭转刚度和应力强度因子的边界元计算公式。
The nonsingular integrals are popularly calculated by the Gauss numerical integral, and they are low in precision when the source points approach the element, and the singular integrals are complex.
非奇异积分一般采用数值积分，当配置点接近积分单元时，计算精度较低，奇异积分的计算也很复杂。
The spline fictitious boundary element method (SFBEM) is a modified method to the conventional indirect singular boundary element method.
样条虚边界元法是针对传统间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。
A new analytical integral algorithm is proposed and applied to the evaluation of the nearly singular integrals in the Boundary Element Method for 2d anisotropic potential problems.
导出了一种解析积分算法，精确计算了二维各向异性位势问题边界元法中近边界点的几乎奇异积分。
The calculation of the initial stress (or initial strain) singular integrals in elastoplastic boundary element method is a difficult, but an important problem.
弹塑性边界元法中初应力(或初应变)奇异体积分的计算一直是一个较为困难、但又是非常重要的问题。
The singular integrals are low in precision when the source points approach the element.
当配置点接近积分单元时，非奇异积分计算精度将降低。
The application range of boundary element method (BEM) is reduced in engineering for a long time due to the difficulty of evaluation of the nearly singular integrals.
边界元法中存在的几乎奇异积分的难题，一直限制着其在工程中的应用范围。
So far, the numerical techniques solving the hyper-singular integral equations are established, and these are called finite-part integral-boundary element method.
从而完成了超奇异积分方程组数值法的建立，这一方法现称之为有限部积分——边界元法。
In this paper, a simpler and direct coupling method, i. e. finite element method coupled with singular solution of infinite plane with a hole, is proposed for the analysis of underground engineering.
提出一种简单直接的耦合方法，即含有空洞的无限平面奇异解与有限元耦合来求解无限平面问题。
The finite element methods of a class of singular linear and semilinear elliptic and parabolic problems are considered and the error estimates in weighted L2 norm are derived.
考虑了二维奇异线性及半线性椭圆和抛物问题的有限元方法，给出加权L2 模的误差估计。
On account of the difficulty of evaluating the nearly singular integrals in boundary element method (BEM), the application range of BEM is reduced in engineering for a long time.
边界元法中存在拟奇异积分计算难题，它一直限制着边界元法在工程中的应用范围。
In this paper we suggesst a finite element method for singular two point boundary value problems with singular solution by introducing singular basis with local support.
采用具有小支集的奇异基函数的有限元方法求解奇异两点边值问题的奇异解。
In this paper, a method based on the combination of Manifold and Singular Boundary Element method to simulate seismic responses and failure processes of structures is presented.
本文提出了用流形无法和子域奇异边界元法相结合模拟结构地震响应及地震破坏的方法。
The hyper-singular numerical integral occurred in the acoustic boundary element method has been dealt with using a regularization formulation.
利用正则化关系式处理了声学边界元方法中的超奇异数值积分。
In this paper, the boundary element method for calculating surface crack is studied and suitable location or the singular isoparametric elements, is presented.
本文研究了计算半随圆表面裂纹应力强度因子的边界元方法。
In this thesis, several nonconforming finite element methods for plate problems and fourth order elliptic singular perturbation problems are discussed.
在论文中，我们主要讨论了四阶椭圆问题的一些非协调有限元逼近。
Boundary element method (BEM) is a simple and effective numerical method to solve potential problems, but usually requires calculation of singular integral, even hyper-singular integrals.
边界元方法求解位势问题有效而简单，但通常需要数值计算奇异积分甚至超强奇异积分。
Boundary element method (BEM) is a simple and effective numerical method to solve potential problems, but usually requires calculation of singular integral, even hyper-singular integrals.
边界元方法求解位势问题有效而简单，但通常需要数值计算奇异积分甚至超强奇异积分。
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