Applied Mathematics and Mechanics (English Edition) ›› 2008, Vol. 29 ›› Issue (6): 779-786 .doi: https://doi.org/10.1007/s10483-008-0609-1

• Articles • 上一篇    下一篇

SH波对界面含有半圆形脱胶的圆柱形弹性夹杂的散射的近似分析

赵嘉喜,齐辉,苏胜伟   

  1. 哈尔滨工程大学建筑工程学院,哈尔滨 150001
  • 收稿日期:2007-05-10 修回日期:2008-04-28 出版日期:2008-06-18 发布日期:2008-06-18
  • 通讯作者: 赵嘉喜

Scattering of SH-waves from interface cylindrical elastic inclusion

ZHAO Jia-xi, QI Hui, SU Sheng-wei   

  1. Civil Engineering College, Harbin Engineering University, Harbin 150001, P. R. China
  • Received:2007-05-10 Revised:2008-04-28 Online:2008-06-18 Published:2008-06-18
  • Contact: ZHAO Jia-xi

摘要: 采用Green函数法、复变函数法研究了SH波对界面附近含有半圆形脱胶的圆柱形弹性夹杂的散射,并给出了动应力集中系数的数值结果。首先,界面将整个空间分成了上下两部分。在下半空间,给出在含有半圆形凸起的圆柱形弹性夹杂的弹性半空间中,水平表面上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。其次,取该位移函数作为Grenn函数。
上下空间连接时在界面处满足连续性条件,构造出半圆形脱胶裂纹,进而求出应力和位移的表达式。最后作为算例,给出了动应力集中系数的数值结果,分析了介质参数和入射波参数对动应力集中的影响情况。

Abstract: Scattering of SH wave from an interface cylindrical elastic inclusion with a semicircular disconnected curve is investigated. The solution of dynamic stress
concentration factor is given using the Green's function and the method of complex variable functions. First, the space is divided into upper and lower parts along the interface. In the lower half space, a suitable Green's function for the problem is constructed. It is an essential solution of the displacement field for an elastic half space with a semi-cylindrical hill of cylindrical elastic
inclusion while bearing out-plane harmonic line source load at the horizontal surface. Thus, the semicircular disconnected curve can be constructed when the two parts are bonded and continuous on the interface loading the undetermined anti-plane forces on the horizontal surfaces. Also, the expressions of displacement and stress fields are obtained in this situation. Finally, examples and results of dynamic stress concentration factor are given. Influences of the cylindrical inclusion and the difference parameters of the
two mediators are discussed.

中图分类号: 

APS Journals | CSTAM Journals | AMS Journals | EMS Journals | ASME Journals