本文研究带两个位移的二维奇异积分方程。
In this paper, we consider two dimensional singular integral equation with two shifts.
本文采用奇异积分方程法分析了横观各向同性体中的埋藏裂纹。
In this paper, the embedded crack in transversely isotropic body is studied by means of the singular integral equation method.
本文利用奇异积分方程法计算出了非对称双面鳍线的传播常数。
The singular integral equation technique is used to determine the normal modes of propagation in asymmetrical bilateral finlines.
研究复平面单位圆域内一类非线性二维奇异积分方程的可解性。
In this paper, the solvability for a class of nonlinear two-dimensional singular integral equation is considered in unit circular.
作为所得结果的应用，讨论了弱奇异积分方程解的存在性问题。
As an application we utilize the results presented in this paper to study the existence problem of solutions for a class of weakly singular integral equations.
问题化为了裂纹上的奇异积分方程，并导出了应力强度因子公式。
The problem is reduced to a singular integral equation on cracks. The formulas for the stress intensity factors are also derived.
本文研究了一类具有一阶奇异性解的完全奇异积分方程的直接解法。
In this paper, we study the direct method of solution for a class of singular integral equations with solutions having singularities of order one.
通过对弱奇异积分方程的数值求解，可得裂纹端点和交点处的应力强度因子。
Through the numerical solution of the integral equation, the stress intensity factors at the end points of the crack and intersection are obtained.
本文采用奇异积分方程方法研究了含周期型环边裂纹长圆柱的轴对称拉伸问题。
A crack problem in the case of a circular cylinder having an infinite row of circumferential cracks under tension are analyzed in this study, by the integral equation method.
同时利用带位的奇异积分方程理论得到了这一问题可解的主要条件及指数计算公式。
By the singular integral equation theory we obtain the resolvable sufficient and necessary condition and the formula of counting index for the problem.
利用复变函数和奇异积分方程方法，求解反平面弹性中半平面边缘内分叉裂纹问题。
The edge internal branch crack problems for half-plane in antiplane elasticity are solved with complex potentials and singular integral equation approach.
利用复变函数和奇异积分方程方法，求解反平面弹性中半平面边缘内分叉裂纹问题。
By using of complex variable function and integral equation method, the antiplane multiple holes and cracks problem of half plane region is considered in this paper.
以裂纹面上的位错函数为未知量将圆柱型界面裂纹问题化成一组奇异积分方程的求解问题。
The problem of a cylindrical interface crack is reduced to a system of singular integral equations with the aid of two unknown dislocation functions at the interface crack surface.
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。
So far, the numerical techniques solving the hyper-singular integral equations are established, and these are called finite-part integral-boundary element method.
利用横向谐振法结合奇异积分方程技术，导出了具有快速收敛特性的不连续性等效电路参量计算公式。
A formulation for the equivalent circuit parameters of the discontinuities with superior convergency is derived by the transverse resonance method with the singular integral equation technique.
笔者通过适当的函数分解和积分变换，将寻求复应力函数的问题转化为求解一正则型奇异积分方程，并借助积分方程理论给出了方程的求解方法。
Using proper decomposition of the functions and integral transformation, the problem is reduced to a singular integral equation, whose solution is given of the theory of integral equation.
本文避开奇异基本解，用非奇异基本解建立边界积分方程。
Avoiding singular fundamental solution, the paper using non-singular fundamental solution to establish the boundary integral equation.
本文对边界积分方程中所存在的超奇异积分的数值解法作了综述，并介绍了它的一些应用。
In this paper numerical solution methods of hypersingular integrals in boundary integral equation have been summarized together with some of their applications.
在原有精细积分法的基础上，对非齐次方程出现奇异矩阵的问题进行探讨。
Based on the original precise integration method, the problem that singular matrix appears in non-homogeneous equation was discussed.
特别是当小波函数未知时，借助于方程(3.1)，对高阶奇异积分作数值计算，建立了收敛性定理。
Especially, we give a calculation method for higher order singular integral by equation (3.1) when the wavelet function is unknown. At last, we create a convergence theorem.
矢量的面积分方程因其被积函数具有高阶奇异性，不能直接应用于数值计算。
The vector surface integral equation can't be applied to numerical computation directly because its integrands possess the high order singularity.
用首次积分法，讨论了带奇异边界条件的非线性常微分方程解的存在性、不存在性和唯一性。
By the first integral method, the existence, uniqueness and nonexistence of solutions for some nonlinear ordinary differential equations with singular boundary condition are discussed.
在用直接边界元法解决弹性问题时，当场点与加载点重合时，边界积分方程将出现奇异。
When the direct boundary element method (DBEM) is used to solve an elastic problem and the field point coincides with the load point, the boundary integral will be strange.
首先，采用间接制定正规化边界积分方程的奇异积分处理，可以计算出准确的边界未知量。
To begin with, a regularized boundary integral equation with indirect formulation is adopted to deal with the singular integrals and the boundary unknown quantities can be calculated accurately.
采用双层位势来表示解，要导至求解超强奇异型积分方程。
The solution will lead to solve a hyper singular integral equation, when a double layer potential distribution formulation is used.
得到的积分方程中的积分核具有奇异性，再根据R -函数理论，可以选择适当的边界规范化方程，消除核的奇异性。
By choosing suitable boundary normalized equation in according to R-function theory, the irregularity of integral kernel in integral equation can be eliminated.
该方法有简单，避免奇异积分、解设定常数的方程组状态好等优点。
This method has the advantages of simplicity, no improper integrals and good conditions of simultaneous equations with constantcoeffients.
对包含奇异点在内的几个特殊点给出了柱底面对这些点所张立体角的值，并给出了电测井积分方程系数矩阵的计算方法。
A computing method of coefficient matrix is given. For a few special points including singular points, the numerical values of solid Angle of a cylindrical bottom surface open to these special points.
导数场边界积分方程通常难以应用，因为存在着超奇异主值积分的计算障碍。
The several different displacement derivative boundary integral equations (BIE) have been proposed in elasticity problem.
研究二维弹性力学问题边界积分方程，通过分部积分变换消除了常规导数边界积分方程中的超奇异积分，获得仅含强奇异积分的应力自然边界积分方程。
Hence, a new stress natural BIE is developed, in which there only exist the strongly singular integrals instead of the hypersingular integrals in the conventional stress BIE.
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