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。

It has been put forward that there exists single Ball point and double Ball points on the symmetrical connecting-rod curves of equilateral mechanisms.

从鲍尔点的形成原理出发，分析对称连杆曲线上鲍尔点的产生条件，提出等边机构的对称连杆曲线上有单鲍尔点和双鲍尔点。

The factory affiliated to the Group primarily manufactures multiple-purpose pincers, baking kits, knives, scissors, kitchenware, gardening tools and beauty care kits as well as other hardware tools, the annual production value of which reaches US$ 30 million dollars.

集团所属工厂主要生产多用钳、烤具、刀具、剪刀、厨具、花园工具、美容套等五金产品，年生产总值3000万美元，产品价廉物美、选料上乘、质量保证，深受国内外客户的青睐