所求问题归结为求解复应力函数的边值问题，并给出了封闭形式的解。
The elastic equilibrium is reduced to solve some Rimann boundary value problem and the solution in closed form is given.
把平面问题的物理量和基本方程全部改写为复数形式，从平衡方程出发引入了复应力函数。
All of the physical quantities and basic equations of plane problem are expressed in terms of complex variable form. From the equilibrium equations, the complex stress functions are introduced.
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.
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.
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.
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.
本文将复变应力函数的迭加解法进一步推广应用于求解一般的多孔边裂纹问题。
In the present paper, the superposition method of the complex stress function is extended to calculate the general problems concerning radial cracks emanated from the multiple circular holes.
假设板与环间处于无初应力的紧密接触状态，弹性板和弹性环的应力函数都可按复劳伦级数展开。
It is assumed that the plate is in close contact with the ring without initial stresses. Stress functions of the plate and the ring are formed by a complex Laurent series.
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.
根据应力波理论和复变函数方法，建立了求解爆破地震波作用下任意形状洞室动态响应的解析方法。
In terms of stress wave theory and complex function, analytical solution for the interaction between blasting seismic wave and arbitrary shape underground Chambers is deduced.
利用复变函数和波函数展开法，对稳态SH波在含有圆形孔洞的无限弹性压电介质中的散射与动应力集中问题进行研究。
Scattering of steady_state SH_waves and dynamic stress concentration are studied with circular holes in piezoelectric medium under incident antiplane shear wave loading.
文中阐明了这种复变应力函数迭加解法的基本原理，并用此方法计算了双孔、三孔和四孔边裂纹板的若干数值例子。
The basic principles of the method are described, and some numerical examples of the radial cracks appearing at the boundary of twin, three and four circular holes are calculated.
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.
本文利用复变函数方法，研究了两个各向异性半平面的焊接问题，得到了应力分布的封闭形式解。
In this paper, the welding problem of two half-planes with anisotropic media is considered. By means of the complex variable method, the stress distribution is given in closed forms.
将复势函数进行罗伦级数展开，通过边界条件得到罗伦级数展开式系数的递推公式，并由复势函数确定应力分量和位移分量。
The complex potentials were expanded into Laurent Series whose coefficients could be expressed by recurrent relations. The stresses and displacements were then be determined by complex potentials.
应用复变函数、多极坐标方法研究弹性半空间中界面附近可移动刚性圆柱形夹杂对SH波散射与动应力集中问题。
The displacement solution is constructed by applying the symmetry of scattering of SH-wave and the method of multi-polar coordinate system.
本文提出了用复变—变分方法求解二维任意边界构件的应力强度因子。根据的复变函数方法，我们得到了应力场与位移场的一般表达式。
In this paper a complex variable-variational method is presented to determine the stress-intensity factors of two dimensional members with curvilinear boundaries.
本文提出了用复变—变分方法求解二维任意边界构件的应力强度因子。根据的复变函数方法，我们得到了应力场与位移场的一般表达式。
In this paper a complex variable-variational method is presented to determine the stress-intensity factors of two dimensional members with curvilinear boundaries.
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