含任意直线型裂纹的直角域中圆柱夹杂对SH波的散射

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振动与冲击 ›› 2011, Vol. 30 ›› Issue (5) : 208-212.

论文

含任意直线型裂纹的直角域中圆柱夹杂对SH波的散射

齐辉杨杰李宏亮杨在林

作者信息 +

Scattering of SH-wave by Cylindrical Inclusion in Right-angle Plane with Arbitrary Beeline Crack

QI Hui YANG Jie Li Hongliang Yang Zailin

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文章历史 +

摘要

摘要: 采用Green函数及复变函数方法研究了SH波作用下直角域内任意直线型裂纹对圆柱弹性夹杂的影响。首先，取含有圆柱弹性夹杂的直角域内任意一点承受时间谐和的出平面线源荷载作用时的位移函数基本解作为适合本文的Green函数；其次，利用裂纹切割技术构造裂纹，并写出圆柱夹杂与裂纹同时存在时的位移场和应力场；最后，给出圆柱弹性夹杂动应力集中系数的算例和结果，并讨论了裂纹的存在对动应力集中系数的影响。

Abstract

Abstract: Green’s function and complex function methods are used here to investigate the problem of the scattering of SH-wave by a cylindrical inclusion in right-angle plane with an arbitrary beeline crack. Firstly, Green’s function was constructed which was an essential solution of displacement field for an elastic right-angle plane possessing a cylindrical inclusion while bearing out-of-plane harmonic line source load at any point. Secondly, crack was made out with crack-division technique, and expressions of displacement and stress are written while crack and cylindrical inclusion are both in existent. Finally, some examples and results for dynamic stress concentration factor of the cylindrical elastic inclusion are given, and the influence of crack to dynamic stress concentration factor at the edge of cylindrical elastic inclusion is discussed.

导出引用

齐辉杨杰李宏亮杨在林. 含任意直线型裂纹的直角域中圆柱夹杂对SH波的散射[J]. 振动与冲击, 2011, 30(5): 208-212

QI Hui YANG Jie Li Hongliang Yang Zailin. Scattering of SH-wave by Cylindrical Inclusion in Right-angle Plane with Arbitrary Beeline Crack[J]. Journal of Vibration and Shock, 2011, 30(5): 208-212