复变函数

By using of complex variable and integral equation methods, the antiplane multiple elliptical holes and multiple cracks problem of infinite region was considered.

摘 要：运用复变函数及积分方程方法，求解了无限域中的多椭圆孔多裂纹反平面问题。

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.

运用复变函数及积分方程方法，求解了半平面域多圆孔多裂纹反平面问题。

In this paper,in consideration of air medium inside the hole defects acting on the electric field, a coupled field of antiplane strain problem for the piezoelectric material with an elliptic hole is analyzed with an expression for potential function of complex veriable in Faber series.

考虑椭圆孔内空气介质对电场的作用，用复变函数的Faber级数展开方法，分析了含椭圆孔的压电材料反平面应变问题的耦合场，给出了问题的精确解。

The edge internal branch crack problems for half-plane in antiplane elasticity arc 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 means of the principle of argument we have developed a general methodto study the properties of the characteristic equations of any substitutional sequences.

采用复变函数理论的幅角原理，我们引入了研究任意非周期结构特征根分布的普遍方法。

The theory of complex variable function for anisotropy plate combined with boundary collocation method is applied to calculation pin-loads and contact region as well as the contact stress on the hole boundary.

采用各向异性板的复变函数理论和边界配置方法，对连接件进行分区，加以限制条件，对多钉连接的复合材料层合板的钉载和板与螺栓间的接触应力和接触区域进行了计算。

By introducing special stress functions, we find solutions of eighth order homogeneous linear equation set with complex functions method and approach of undetermined coefficients, deduce calculation formulas of bi-material elastic constants for two dissimilar orthotropic composite materials. The expressions of stress intensity factors near finite interface crack tip subjected to symmetric loadings are derived. A engineering application numerical example is given.

通过引入特殊的应力函数，采用复变函数方法和待定系数法求解了八阶齐次线性方程组，推出了两种相异正交异性复合材料板的双材料弹性常数的计算公式，得到了受对称载荷作用的界面裂纹尖端应力强度因子的计算公式，给出了一个工程应用算例。

Complex function method and multi-polar coordinate transformation are used to study the Green function of a fixed rigid circular inclusion in right-angle planar space under an anti-plane point loading on the horizontal straight boundary.

利用复变函数法、多极坐标移动技术研究了直角平面区域内含有固定圆形夹杂时的反平面问题Green函数解。

This subject combines the basic principle of the calculus of variation and and reply and change basic theories of the function according to fracture mechanics, use mechanics, mathematics knowledge to set up corresponding mathematical model, derive out a series of mechanics and mathematics theory formula, work out procedure carry on number value calculate, to include edge crackle round stress intensity factor of component go on, ask, solve.

本课题结合变分法的基本原理并根据断裂力学和复变函数的基本理论，运用力学、数学知识建立相应的数学模型，推导出一系列的力学及数学理论公式，编制程序进行数值计算，对含边缘裂纹圆形构件的应力强度因子进行求解。

Themapping function sequences including circular cutouts and elliptical cutouts aregiven in this chapter.

然后为方便地满足圆柱壳大开孔的边界条件，通过复变函数方法中的用来求解多边形映射问题的Schwarz-Christoffel积分表达式，将圆柱壳展开面上的非圆非椭的开孔边界曲线保角映射成为单位圆，给出了在不同开孔率情况下的关于圆孔和椭圆孔的保角映射函数的具体形式。

This one mode pays close attention to network credence foundation of the businessman very much.

这一模式非常关注商人的网络信用基础。

Cell morphology of bacterial ghost of Pasteurella multocida was observed by scanning electron microscopy and inactivation ratio was estimated by CFU analysi.

扫描电镜观察多杀性巴氏杆菌细菌幽灵和菌落形成单位评价遗传灭活率。