得到了应力函数的表达公式。
The formula for calculating stress function has been obtained.
一般不能由积分得到分布载荷的应力函数。
In general, the stress function of any distributed load can not obtained by integration.
利用应力函数法将精确解按双无穷级数展开。
An exact solution is developed in terms of doubly infinite series, using a stress-function approach.
用逐次超松驰迭代法求出了扭转应力函数差分值。
Using the successive over-relaxation method, the difference values of the torsion stress function are determined.
进而推算出由热应力引起的金属棒形工件淬火残余应力函数。
From this function, we can deduce out the quenching remains stress functions of the club-shaped metal that is resulted from heat st...
本文首先选择由三角函数和多项式组成的挠度函数和应力函数。
In this paper, the deflection and stress function in terms of trigonometrical function and polynomial expression are first proposed.
利用差分法可以求出自由扭转截面内各离散点应力函数的数值解。
Using difference method, numerical solutions of stress function of the discrete points can be obtained.
研究了不同应力函数准则、开停车对炉管蠕变损伤及寿命的影响。
The influences of various stress function criteria, operation and stop on the creep damage and service life of the furnace fire bars were studied.
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.
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.
求解了五种情况的应力强度因子，采用的方法是艾雷应力函数和加权残数法。
In this article a solution is found of the stress intensity factors in five cases. The solution is based on Airy stress function and the method of weighted residuals.
得到离散化的应力值后，用神经网络拟合出了以坐标为参量的全场应力函数。
When discrete stress values are obtained, neural networks are also used to construct a global stress function with coordinates as parameters.
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.
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.
首先采用双重余弦函数的组合确定了面内冲击矩形薄板的艾雷应力函数和中面力的分布；
Firstly, Airy stress function and the distributions of the membrane forces are determined by the combination of double cosine series.
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.
应力函数法是求解应力边值问题和混合边值问题，诸如弹性固体接触问题简单、直接的方法。
Stress function method is a simple and straight approach for stress or mixed boundary value problems, such as solids under contact.
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.
导出了极坐标系下扇形截面杆件扭转问题的差分格式；用逐次超松驰迭代法求出了扭转应力函数差分值。
A torsion difference scheme of the bar with sectorial cross-section is developed in polar coordinate system.
根据二维双调和方程的特点并借助于MATHEMATICA软件，得到了应力函数双调和方程的多项式解答。
According to the nature of two-dimensional biharmonic equations, this paper obtains a polynomial solution of the biharmonic equation for stress function by means of the MATHEMATICA software.
对应于高阶镜像点的应力函数，可通过递推的方法，从对应于低阶镜像点的应力函数求得，而且也易于计算机编程。
Its found that the stress functions corresponding to the mirror point of higher order can be determined from the lower order ones by recurrence, which is easy for computer programing.
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.
本文将弹性静力学中的应力函数张量概念直接推广到连续介质动力学问题中，给出了动力应力函数张量的一般表达式。
This paper generalizes the concept of stress function tensor in static elasticity into the more general case of continuum dynamics .
以库仑定律作为强度破坏准则，破碎区边界上的弹性介质和它内部的塑性介质的破坏条件分别采用了不同的主应力函数。
Different functions for principal stress were used as elastic medium failure conditions at the boundary with the crushing zone and plasticity within the latter based on Coulomb rule.
撰写本论文的目的就是寻求两种应力函数之间的关系，将两者有机的统一起来，使在以后的裂纹体分析中简化研究过程。
The purpose to compose this thesis is to look after the relation of the two stress functions and unify them.
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.
通过对应力函数法与应力分量法的比较，论述了按应力求解弹性力学平面问题时，如何选择合适的解法，以取得难度小、求解快的效果； 并讨论了应力分量法的局限性。
The selection of a suitable stress method to easily and quickly solve a plane problem in elasticity is expounded through comparing the stress function method with the stress component method.
稳定蠕变应变率本构方程是作用在盐岩上的应力偏量的幂次函数和能量与温度的指数函数。
The steady-state creep strain rate is a power function of deviatoric stress and exponential function of temperature and energy.
分析迁移应力，确定了真实应力空间中的屈服函数，并采用旋转硬化规律考虑应力引起的土体各向异性。
Then the shift stresses were analyzed to specify the yield locus in true stress space and rotational hardening law was adopted to embody the anisotropy induced by stresses.
在二维或三维的情况下，屈服极限是当所有应力分量的某个函数达到某一固定值时达到的。
In two and three dimensions the yield limit is reached when a certain function of all the stress components reaches a fixed value.
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