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对偶积分
相关语句
  dual integral
     By Hankel integral transform, the problem is reduced to a set of dual integral equations which are transformed into a set of singular integral equations.
     文中采用Hankel积分变换,将散射问题转化为求解对偶积分方程,进而变换为奇异积分方程组.
短句来源
     A Method of Solving a Kind on Dual Integral Equations Via Decoupling Into Canonical Cauchy Singular Integral Equations
     一类对偶积分方程组正则化为Cauchy奇异积分方程组解法
短句来源
     SOLUTION OF TIMOSHENKO BEAM BY DUAL INTEGRAL TRANSFORMATION METHOD
     Timoshenko梁的对偶积分变换解法
短句来源
     The exact analytic solution of a Mode Ⅲ Griffith crack in the material was obtained by using the Fourier transform and dual integral equations theory, and so the displacement and stress fields, the stress intensity factor and strain energy release rate were determined.
     通过应用Fourier分析和对偶积分方程理论 ,得到了立方准晶材料Ⅲ型裂纹问题的精确解析解 ,并由此确定了位移与应力场 ,应力强度因子和应变能释放率 .
短句来源
     A Class of Two-Dimensional Dual Integral Equations and Its Application
     一类二维对偶积分方程的解及其应用
短句来源
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  “对偶积分”译为未确定词的双语例句
     Numberal Solutions of Dual Integeral Equations with Explant Function
     含复指数函数对偶积分方程的数值求解
短句来源
     We get the displacement, stress, electric potential and electric displacement around the crack in an infinite plane of functionally graded piezoelectric materials, a half plane of functionally graded piezoelectric materials and a strip of functionally graded piezoelectric materials by Fourier Transforms, respectively.
     首先使用Fourier变换,然后求解对偶积分方程,分别给出了无限大、半无限大及带型压电体中应力、电势、电场强度及电位移的解析表达式;
短句来源
     By using the Copson method, one of these equations is transformed into a Fredholm integral equation of the second kind to obtain the solution. Furthermore, the intensity factors, the total energy release rate and the mechanical strain energy release rate are obtained and compared with the classical results without considering the electric field gradient effects.
     采用了Copson方法,将其中一组对偶积分方程转化为第二类Fredholm 积分方程来进行数值求解,得到了裂纹尖端的强度因子、总能量释放率和机械应变能释放率,并与经典理论中的结果进行了比较。
短句来源
     Then the fomulas of analytic solution of the displacements on the crack surfaces and of the stress-intensity factors of crack border are obtained.
     将问题化归为二个变数的对偶积分方程,并获得裂纹面位移和裂纹前缘应力强度因子的解析表达式.
短句来源
     The shear moduli in two directions of the functionally graded material were assumed to vary proportionately as definite gradient. By using integral transforms and dual imtegral equations, the local dynamic stress field was obtained. The results of dynamic stress intensity factor show that increasing shear moduli's gradient of FGM or increasing the shear modulus in direction perpendicular to crack surface can restrain the magnitude of dynamic stress intensity factor.
     研究了无限大正交各向异性功能梯度材料Griffith裂纹受反平面剪切冲击作用的问题· 材料两个方向的剪切模量假定为成比例按特定梯度变化· 通过采用积分变换_对偶积分方程方法 ,获得了裂纹尖端动态应力场· 动态应力强度因子计算结果显示 :增加剪切模量梯度或增加垂直于裂纹面方向的剪切模量可以抑制动态应力强度因子的幅值·
短句来源
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  相似匹配句对
     S-Integral
     S积分
短句来源
     SOLUTION OF TIMOSHENKO BEAM BY DUAL INTEGRAL TRANSFORMATION METHOD
     Timoshenko梁的对偶积分变换解法
短句来源
     Dual Quermassintegral Versions of Busemann-Petty Problem
     Busemann-Petty问题的对偶均质积分形式
短句来源
     Dual Hypergroups
     对偶超群
短句来源
     ON THE Z ̄* INTEGRAL
     关于z~*积分
短句来源
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  dual integral
By use of the Fourier transform, the problem can be solved with the help of a pair of dual integral equations, in which the unknown variable was the displacement on the crack surfaces.
      
To solve the dual integral equations, the displacement on the crack surfaces was expanded in a series of Jacobi polynomials.
      
Through the Fourier transform, the problem can be solved with the help of two pairs of dual integral equations, in which the unknown variables were the jumps of the displacements across the crack surfaces.
      
To solve the dual integral equations, the jumps of the displacements across the crack surfaces were expanded in a series of Jacobi polynomials.
      
This problem is reduced by means of Fourier transforms to the standard set of dual integral equations with two variables.
      
更多          
  dual-integral
Then a set of dual-integral equations is solved using a new method, namely Schmidt's method.
      


In this paper, the three-dimensional elastic solid with internal rectangular crack is considered. Let the crack surfaces be subjected to equal and opposite normal tractions p0. This problem is reduced, by means of Fourier transforms, to the standard set of dual integral equations with two variables. Then the fomulas of analytic solution of the displacements on the crack surfaces and of the stress-intensity factors of crack border are obtained.

本文分析了含有矩形片状裂纹(裂纹上下表面受均匀压力作用)的三维弹性体.借助Fourier积分变换.将问题化归为二个变数的对偶积分方程,并获得裂纹面位移和裂纹前缘应力强度因子的解析表达式.

A new method for calculation of stresses strains and displacements in an

本文提出了一种计算刚体压缩课题的新方法,这就是将原来的混合边值问题变换为等价的应力边值问题,从而避开了求解对偶积分方程的困难,使本课题得到了比较圆满的解决。

In this paper, the problem of the plane circular crack in a homogenous and isotropic infinte elastic body under circumferential load at infinity parallel to the plane of the crack is studied within the linearized couple-stress theory by Mindlin and Tiersten. The problem of the crack is reduced to a simultaneus system of dual integral equation by means of the method of integral transforms.This system, in turn,is reduced to a one-dimensional integral equation of Fredholm's second kind that is amenable to a numerical...

In this paper, the problem of the plane circular crack in a homogenous and isotropic infinte elastic body under circumferential load at infinity parallel to the plane of the crack is studied within the linearized couple-stress theory by Mindlin and Tiersten. The problem of the crack is reduced to a simultaneus system of dual integral equation by means of the method of integral transforms.This system, in turn,is reduced to a one-dimensional integral equation of Fredholm's second kind that is amenable to a numerical treatment. Stress singularities around the edge of the crack are considered, and the stress intensity factor is calculated. The results obtained show that the order of the stress sigularities is the same as that of the classical stress singularities, but owing to the effect of the couple-stress, the magnitude of the stress factor is lower than the classical theory's and changes with parameters of the material, 1 and η.

本文根据Mindlin&Tiersten的线性偶应力理论研究了含有圆盘状裂纹的无限大体,在无限远处、平行于裂纹的周向剪应力的作用下,应力在裂纹尖端处的奇异性。本文用积分变换的方法将问题的解归结为求解一个对偶积分方程。最后通过解析结合数值分析求得对称应力在裂纹尖端处的应力强度因子。结果表明:由于偶应力的影响,裂纹附近应力集中的程度较之经典弹性理论的结果有所下降,并且与新增加的弹性常数l和η有关。

 
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