积分因子

By applying contour integral method and high-order displacement functionsof MM,we obtain the accurate stress intensity factors of mixed-mode crack.Then,the open crack propagation of the mixed mode I and II is simulated by means oftheories of linear elastic fracture mechanics.This provides a simple and effectivenumerical way for crack evolvement studying.

接着，文中采用围线积分法和流形方法的高阶位移函数来计算得到比较准确的混合型裂纹尖端的应力强度因子，然后基于线弹性断裂力学的裂纹扩展准则，用流形方法实现了平面I-II混合型张裂纹扩展的数值模拟，为数值方法研究裂纹的演化行为提供了一条简单而有效的途径。

Saint-Venant torsion ; curvilinear crack ; boundary integral equation ; boundary element ; stress intensity factor

Saint-Venant扭转；曲线裂纹；边界积分方程；边界元；应力强度因子

The integral equation for determining the unknown forces about the problem can be transformed into algebraic equation and solved numerically.

并推导了SH波对夹杂与裂纹散射的定解积分方程组，进而求得裂纹尖端的动应力因子。

Then the integral equation for determining the unknown forces in the problem can be changed into the algebraic one and solved numerically so that crack DSIF can be determined.

其次，推导了圆孔、裂纹对SH波散射的定解积分方程组，进而求得裂纹尖端动应力强度因子。

A path independent line integralof the deviator strain energy is proposed by the authors.

在线弹性情况下，推导出了积分与应力强度因子KI的关系。

Deviator strain energy; integral; conservation; stress intensity factor; mixed-mode crack; fracture criterion

偏斜应变能；积分；守恒性；应力强度因子；复合型裂纹；断裂准则

Property 2 The constant factor in the integrand function can be taken out of the double integral, that is ,if k is a constant.

性质 2 被积函数前面的常数因子可以提到积分号前面，即，若k为常数。

The effects of treatment were monitored by arthritis index,footpad thickness,microvessels density as well as the expression of vascular endothelial growth factor protein and mRNA in the synovium.

检测关节炎指数积分和炎症足垫厚度，免疫组化计算滑膜微血管密度，W estern B lot和RT-PCR方法分别检测滑膜血管内皮生长因子蛋白和mRNA的表达。

The approximations can be used as the initial guess and pre-conditioner in the stabilized biconjugate-gradient fast Fourier transform algorithm for computing integral equations, and hence a hybrid DTA-BCGS algorithm with higher efficiency is formed.

这两种近似可以作为计算积分方程稳定型双共轭梯度快速Fourier变换算法的初始猜测值和预条件因子，从而形成效率更高的混合DTA-BCGS算法。

In this paper, one corollary has been derived, i. e., the Frechet derivative which is necessary to the resistivity inversion, is the first order of Zhang's integrated geometric factor.

针对阵列电位电极系测井正演与反演研究，我们得到另一结论：反演过程中必然用到的Frechet导数为张氏一阶积分几何因子。

On the other hand, the more important thing is because the urban housing is a kind of heterogeneity products.

另一方面，更重要的是由于城市住房是一种异质性产品。

Climate histogram is the fall that collects place measure calm value, cent serves as cross axle for a few equal interval, the area that the frequency that the value appears according to place is accumulated and becomes will be determined inside each interval, discharge the graph that rise with post, also be called histogram.

气候直方图是将所收集的降水量测定值，分为几个相等的区间作为横轴，并将各区间内所测定值依所出现的次数累积而成的面积，用柱子排起来的图形，也叫做柱状图。