含有直线裂纹的直角域中椭圆形夹杂对SH波的散射

发布时间：2018-04-25 20:18

本文选题：直角域 + 椭圆形夹杂　；参考：《天津大学学报(自然科学与工程技术版)》2016年04期

【摘要】：利用Green函数法、复变函数法及保角映射技术研究了SH波作用下直角域中直线裂纹对椭圆形夹杂动应力集中系数的影响.采用保角映射法和镜像叠加原理构造了一个能自动满足直角平面两个直线边界应力自由边界条件的散射位移场,并取含有椭圆形夹杂的直角域中任意一点承受时间谐和的出平面线源载荷作用下的位移基本解作为适合的Green函数.利用裂纹"切割"技术构造直线裂纹,进而得出裂纹与椭圆形夹杂共存时的位移场和应力场.通过具体算例讨论了入射波数、裂纹角度、裂纹长度等因素对椭圆形夹杂周边动应力集中系数的影响.
[Abstract]:The effect of linear crack in right angle domain on the dynamic stress concentration factor of elliptical inclusion is studied by using Green function method, complex variable function method and conformal mapping technique. Using the conformal mapping method and the principle of image superposition, a scattering displacement field is constructed, which can automatically satisfy the stress free boundary conditions of two straight line boundaries in the right plane. The displacement fundamental solution of any point in the right-angle domain with elliptical inclusions under the action of the output plane line source load of time harmonic sum is taken as the appropriate Green function. The crack "cutting" technique is used to construct the linear crack, and then the displacement field and the stress field are obtained when the crack and the elliptical inclusion coexist. The influence of incident wave number, crack angle and crack length on the dynamic stress concentration factor around the elliptical inclusion is discussed.
【作者单位】：哈尔滨工程大学航天与建筑工程学院;
【基金】：黑龙江省自然科学基金资助项目(A201404)
【分类号】：O346.1

【相似文献】