运用复变函数论方法处理了二维流动。
Two-dimensional flow was dealt with using the method of functions of complex variables.
利用复变函数方法，得到了该问题的一般解答。
Based on complex variable method, the general solutions of the problem were derived.
利用复变函数和多极坐标方法构造了问题的位移解。
The displacement solution is constructed by applying the methods of complex function and multi polar coordinates system.
本文提出了对复变特征方程求根的一种系统逼近程序。
In this paper, a successive approximation procedure for calculating eigenvalues of the complex characteristic equation is proposed.
本文主要讨论一种特殊的复变函数的积分——周线积分。
This paper mainly discusses a special kind of complex function — contour integral.
在数学中经常要用到复变函数在极点邻域内展开的罗朗级数。
It is widely used to develop complex functions into Laurent series at the neighborhood of a pole.
给出了复变函数分解定理的简捷证明，并证明了分解的唯一性。
A simple and direct proof of decomposition theorem of complex functions has been provided, and Uniqueness of the decomposition has been proved.
采用复变函数论，对反平面条件下的动态裂纹扩展问题进行研究。
By the application of complex functions theory, the dynamic crack propagation problems under the condition of anti-plane were investigated.
给出了复形式的复变函数的共轭可微性充要条件的证明及其重要应用。
This article was to offer necessary and sufficient condition and application of conjugate differentiable complex function in complex system.
采用复变函数方法求解了脉冲放电瞬间裂纹尖端的温度场和热应力场。
The complex function method is used to solve the temperature field and thermal stress field around the crack tip at the moment when the pulse current is switched on.
这里，平面的应力场是借助于保角映射的方法通过复变应力函数得到的。
The stress field can be obtained from complex stress function in the presence of conformal mapping.
亚纯函数与整函数的分解理论是单复变函数论中一个令人感兴趣的课题。
The factorization theory of meromorphic and entire functions is one of interesting problems in complex analytic function theory.
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。
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.
应用复变函数论的方法，简洁地给出了的一切有理数解和一切整数解公式。
In this paper, the general rational solutions and the general integer solutions of are given.
将推广的高等代数理论融入复变函数是复变函数展成幂级数的一种新方法。
That advanced algebra theory is melt into plurality transform function is a new method by which plurality transform function is expanded into power series.
采用复变函数及摄动方法，最后以幂级数形式给出应力强度因子的计算公式。
Stress intensity factors at the craek tips are computed by complex variable functions and perturbation method and formulas are given in power series forms.
复变函数论的方法，对复合材料的圆盘状裂纹的轴对称性扩展问题进行研究。
By the theory of complex functions, a penny-shaped crack on axially symmetric propagating problems for composite materials was studied.
采用复变函数法和多极坐标方法，研究了弯曲波对含有多圆孔薄板的散射问题。
Scattering of flexural waves by multiple cutouts and dynamic stress concentration in the thin plates were investigated in terms of the complex variable function method and multi-polar coordinates.
纠正了现行复变函数教材中的错误，给出了一类复多值函数的正确的计算方法。
The mistake of the textbook of complex analysis is corrected; correct method of calculates in a kind of complex multivalued function is given.
摘要最大模原理在复变函数论中占有重要的地位，是研究解析函数的有力工具。
Maximum modulus principle plays an important role in the complex analytics, and it is a powerful tool in studying the analytic function.
在前言中，我们对复变函数及其历史背景以及这些领域的研究成果作了一番综述。
In the preface, we give a review about the historical background of complex analysis and research achievements in these fields.
采用复变函数解法，研究地面荷载作用下浅埋圆形隧道围岩的平面弹性应力问题。
The complex variable method analytic solution of stress is given for the plane elastic stress problem of surrounding rock of shallow circular tunnel under ground load.
本文利用复变函数方法求解无限的各向异性介质中入射SH波对圆孔的散射问题。
In this paper, the method of complex variable function is used to solve the scattering problem of a circular hole by SH wave in an anisotropic medium.
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.
本文将复变函数中的幅角原理推广到亚纯函数在区域的边界上有零点和极点的情况。
In this paper Argument principle is extended to the case in which meromorphic function has limited number of zeros and poles at the boundary of reg - ion.
采用复变方法，讨论了带周期裂缝的不同材料拼接的各向异性弹性平面第二基本问题。
In this paper the second fundamental problems in anisotropic elastic plane with periodic cracks are discussed by the complex variable methods.
采用复变-变分法求解受钉传载荷含边缘裂纹各向异性与各向同性板的应力强度因子。
Description is given for a complex variable-variational method to investigate the stress intensity factors in anisotropic and isotropic plates with edge cracks subject to pin loads.
本文根据粘弹性体的理论与复变函数理论给出了非圆形巷道(洞室等)的粘弹性解析解。
This paper gives an analytic solution of non-circle opening based on linear viscoelastic theories and theory of function of a complex variable.
对具有中心裂纹或半无限长裂纹的无限大板在集中力作用下得到了精确的复变应力函数。
The exact complex stress functions are obtained for a infinite plate with a centrical crack or semi-infinite crack under concentrated forces at a certain point.
对具有中心裂纹或半无限长裂纹的无限大板在集中力作用下得到了精确的复变应力函数。
The exact complex stress functions are obtained for a infinite plate with a centrical crack or semi-infinite crack under concentrated forces at a certain point.
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