轴向环形界面裂纹的弹性波散射

自从１９７９年Ｎｅｅｒｈｏｆ首次研究了加层半空间中有限宽平面界面裂纹对Ｌｏｖｅ波的散射问题以来，界面裂纹的弹性波散射问题为众人所日益关注．近年来在这方面已有了一系列的研究工作．然而，其中大多数处理的是分层介质中的平面界面裂纹问题．本文考虑了轴向环形界面裂纹与弹性波的相互作用问题．利用Ｆｏｕｒｉｅｒ积分变换，将问题演化为一组对偶积分方程，并借助于雅可比多项式，给出了问题的级数解，最后得出了散射场在裂纹尖端附近的应力强度因子及远场位移模式的表达式，并对散射场的近场及远场特性进行了分析

Interaction of Elastic Waves with an Axial Annular Interface Crack

Since Neerhoff dealt with the diffraction of Love waves by a finite width crack in a plane interface of layered half space at first in 1979,the problem of elastic wave scattering with interface cracks has attracted considerable attention.A number of papers concerning this problem have been published recently.Most of them,however,have dealt with the interface cracks in a layered medium. In this paper,the problem of interaction of elastic waves with an axial circumferential interface crack has been considered.Making use of Fourier integral transform,the boundary problem is reduced to a set of dual integral equations.Then by means of Jacobian polynomials,a series solution of the problem is given.And finally,the expressions of stress intensity factor in crack tip and far field displacements are presented.The feature of scattering waves at the crack tip and far field has been investigated in detail.