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 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 by using the Fourier integral transform and the boundary conditions, the problem is reduced to a dual integral equations. The dynamic stress intensity factors at the crack tip are obtained by the using Copson methods and the numerical integral technique. As an example, the eects of the parameter and the frequency of SH wave on norm dynamic stress intensity factors are discussed. 研究了正交各向异性功能梯度材料中直裂纹对SH波的散射问题,材料两个方向的剪切模量和密度假定为指数模型,通过积分变换-积分方程方法,建立数学模型,化为对偶积分方程,用Copson方法求解对偶积分方程,最后得到动应力强度因子,并且给出了数值算例,讨论了在SH波作用下,裂纹尖端的动应力强度因子与入射波的频率,入射角的关系． 短句来源 Fourier transform is employed to reduce to this mixed boundary value problem to three pairs of dual integral equations; also the new additional boundary conditions are discussed. 利用Fourier 变换技术将力电复合边值问题转化为三组对偶积分方程,并讨论了所需要新增的边界条件。 短句来源 By integral transform method, the scattering of elastic wave by two cracks is reduced to a set of dual integral equations which are further transformed to a set of singular integral equations of the first kind. By means of Chebyshev polynomials of the first kind, the solutions of the singular integral equations have been obtained, and the formulae of the dynamic stress intensity factors are presented. 文中采用积分变换法将双裂纹的弹性波散射化为对偶积分方程,进而将其转化为第一类奇异积分方程组,借助于第一类Chebyshev多项式,给出了奇异积分方程组的解答,并得到了双裂纹的动态应力强度因子的计算公式 短句来源 The influence function of the axisymmetrical problem is given,and dual integral equations of the problem are derived. 给出了轴对称问题的影响函数，导出了圆盘状Ⅰ型裂纹非局部理论解的对偶积分方程。 短句来源 更多

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