积分的

As application examples, mode-I stress intensity factors of cracked beams are obtained with present approach, the results are shown to agree well with those of Tada's handbook. The physical illustration of deviator strain energy release rate aboutintegral is given in this paper.

最后建立了利用有限元分析结果来计算积分值的基本公式，改进了当积分路径沿外边界积分时，应力张量难以在边界上分解成应力偏张量和应力球张量的这一缺陷。

This article analyzed laser gain function and Voigt function I( v,v0 ), pointed out that the integral difficulty originate from Dopper and Lorentz profiles.

本文分析了激光增益系数ζ和佛克脱积分函数I(υ，υ_0)。指出两函数的积分困难均来源于洛伦兹分布函数和多普勒分布函数的褶积。

Finally the double integral in geometry and physics applications, and use MATLAB to solve the double integral on the general area.

最后讨论了重积分在多少何和物理方面的应用，并利用MATLAB求解一般区域上的二重积分。

In this paper, a method is proposed to estimate the plastic zone size, by extending the Dugdale model to three dimensional (3D) crack problems and the crack opening displacement at the tip of a sptatial penny shaped crack by combining the Barenblatt Dugdale model with the principle of 3D J integral, then the relationship between J integral and COD is obtained.

将Dugdale模型推广到三维裂纹问题计算了圆盘状裂纹前缘塑性区尺寸，并结合断裂力学中的Barenblat－Dugdale裂纹模型和三维J－积分原理计算了圆盘状裂纹前缘张开位移，得到了J－积分与裂纹张开位移的关系。

The new method applies quadratic spline function to interpolate thenonharmonic function in Duhamel's integral.

本方法是利用二次样条函数对Duhamel积分中的非振荡型函数进行插值，导出了相应的数值积分公式。

First of all, Newton-Cotes integral formula is used to calculate the special solution of nonhomogeneous equation in Duhamel integral form for linear system.

首先对于线性问题，利用等步长的Newton-Cotes积分公式计算非齐次方程Duhamel积分形式的特解。

By using generalized Duhamel's integral and integral transform, this paper investigates random response of an infinite beam on the Kelvin viscoelastic foundation subjected to a moving load.

利用广义Duhamel积分和积分变换，研究了粘弹性Kelvin地基上无限长梁在运动的线源平稳随机荷载作用下的随机响应。

According to Munk and MacDonald, the first integral in Equation (1) could result in an amount of stored energy equal to the second integral.

按照Munk和 MacDonald报告内容，方程式（1）中的第1项积分将导致能量的存储过程，并与第2项积分数值相等。

Next, cooperate business door can exchange platform through this advertisement, the ad that sells a website go up will exchange platform integral, use these integral, the high grade advertisement that can exchange other website easily to offer again.

然后，合作商户即可通过该广告交换平台，出售网站上的广告位来换取平台积分，使用这些积分，又可以轻松换取其他网站提供的优质广告位。

Potential theory is used to transfer the exterior boundary value problem into the boundary integral equation of the first kind. A iterated Tikhonov regularization and a modified Tikhonov regularization are presented to solve the integral equation.

利用位势理论将外边值问题转化为第一类边界积分方程，再分别利用迭代的Tikhonov正则化方法和改进的Tikhonov正则化方法求解积分方程。

The reasons of iron ions content overproof in grade Ⅱ desalting water system,such as variation water quality,contamination of regenerant , operation adjustment of pretreatment system and switching operation of bed were discussed.

对二级脱盐水系统中铁离子含量超标的原因，如来水水质发生波动、再生剂受到污染、预处理系统操作调整、床体运行切换等进行了论述。

You were hired to drum up new business, so go and do it.

公司雇你招徕新业务，你就做你的事好了。