应力函数

With Airy stress function, a plane elasticity problem can be simplified to solve a biharmonic function equation.

通过引入Airy应力函数，平面问题可以归结为在给定的边界条件下求解一个双调和方程。

Taking beam with rectangular section as an example, the corresponding analytical solution of beam subjected to cosine distribution pressure is given through constructing the stress function satisfying all boundary conditions and biharmonic equation , which is a base of beam subjected to arbitrary distribution pressure.

以矩形截面简支梁为例，通过构造一个满足所有边界条件和双调和方程的应力函数，给出了梁受余弦分布力作用情况下相应的解析解，这为求解梁受任意分布压力作用下解的问题打下了基础

By means of plane elastic complex variable method and theory of boundary value problems and integral equation.

利用平面弹性复变方法和解析函数边值问题以及积分方程的基本理论，研究不同材料的各向同性弹性长条与半平面的焊接问题，给出了弹性体应力函数封闭形式的

A calculation model of stress field of the composite plate with circular holes was built according to the theory of complex variable function.

根据复变函数理论建立了计算模型。采用仿射变换的方法得到了准确描述应力场的复变应力函数。

The expressions of multiple complex variable flexure stress function of a infinite plane with arbitrary holes are derived by using the theory of complex variable functions and multiple conformal mapping transformation.

应用弹性力学复变函数理论，采用多保角变换方法，推出了含有任意多孔无限大平板弯曲或者扭转的多复变量弯曲应力函数表达式。

With the method of Stress Function,this paper analyzes the distribution of stresses of biaxial tensile and builds the finite element model of biaxial tensile test of cruciform specimens with slots on arms.

用应力函数法分析了双向拉伸的应力分布，建立了臂上开缝十字形试件双向拉伸试验的有限元模型，使用大型通用有限元软件ANSYS8.0对十字形双向拉伸试验进行模拟及分析，并对其结构尺寸进行优化设计。

The governing equations of laminate-faced sandwich cylindrical shallow shells based on the first-order shear theory with large deflection are high-order partial differential equations. Four dependent functions are involved.

大挠度剪切理论下复合材料夹层圆柱扁壳的稳定性控制方程是一组非线性高阶常系数偏微分方程，其中包含四个独立的函数，它们分别为横向挠度w、参考曲面的法线转角Φx、Φy和应力函数F。

Corresponding mathematics model was developed, hole-edge stress analysis on composite material plate with multiform holes was carried out, accurate boundary conditions was founded by conformal mapping method, boundary problems of the two stress functions could be treated by affine transformation in the same way synchronously.

建立了相应的数学模型，对含不同孔型复合材料板进行了孔边应力分析，通过保角映射方法建立精确的边界条件，解决了复杂孔型的边界条件问题，借助仿射变换能同时并且同方法的处理这两个应力函数在边界上的问题。

The tendency of stress singularity variation with the bonding angle and the stress distribution around the singular point were also investigated.

同时，还分析了应力奇异性随界面端形状的变化规律，并得到了应力函数的分布图。

This paper presents a New method of calculating torsion problem of a straight bar with rectangular cross section.

首先给出计算弹性矩形截面直杆扭转问题的一种新方法，并采用矩形膜振动位移函数来求解该问题的应力函数。

Objective: To study the effect of polycythemia on blood oxygen saturation.

裴蕾目的：观察RBC剧增而引起的高粘血症对血氧饱和度的影响。

Based on SIMPLER algorithm in the curvilinear body-fitted coordinates, the calculations were performed for Pr=0.7, Re=10~1000 on non-orthogonal non-staggered grids which are generated by elliptic equation systems.

采用曲线坐标系下压力与速度耦合的SIMPLER算法，数值研究了周期性渐扩渐缩波纹通道内脉动流动与换热情况，流动Re数的范围为10~1000，Pr数为0.7。