脱胶圆衬砌及其边缘直裂纹对出平面波的散射  

Scattering of anti-plane wave by a cylindrical lining with a disconnected curve and its edge's linear cracks

作　　者：南景富[1] 赵春香[1] 齐辉[2] 杨在林[2] 高国付[1] 于丽艳[1] 赵继涛[1] 

机构地区：[1]黑龙江科技大学理学院,哈尔滨150022 [2]哈尔滨工程大学航天与建筑工程学院,哈尔滨150001

出　　处：《振动与冲击》2016年第13期148-152,共5页Journal of Vibration and Shock

基　　金：黑龙江省自然科学基金项目(A201419)

摘　　要：通过数学物理方法中的Green函数法研究了界面上含有上半圆形脱胶圆形衬砌及其边缘界面直线型裂纹的均匀双相介质全空间对出平面动力的响应。首先,给出了在含有半圆形凸起的圆形衬砌的下半空间和含半圆形凹陷的上半空间在水平分界面上任意一点加载出平面线源波动时在各自区域产生的位移场;再者,给出出平面波任意角度入射时的入射波、反射波、折射波和散射波函数;其次,采用裂纹"切割"方法构造直线型裂纹,并应用边界条件对上下半空间在界面处实施"契合",建立起问题的定解方程组;最后做为算例讨论分析了裂纹尖端动应力强度因子的数值结果。The dynamic response of a whole space of homogeneous Bi-medium with an interface containing a circular lining with a semicircular degumming and its edge＇s linear cracks to anti-plane force was studied with Green＇s function. Firstly,the displacement fields described with Green＇s functions were deduced for the upper half space with a semicircular hollow and the lower half space containing a cylindrical elastic lining with a semicircular hill when an out ofplane line source wave was applied on the horizontal interface. Secondly,the functions of incident wave,reflected wave,refracted wave and scattering wave were derived with anti-plane wave at any incident angle. Thirdly,linear cracks were constructed using the method of ＂cutting＂,the upper and lower half spaces were joined to satisfy the boundary conditions in the conjunction area,and the governing equations of the solution were established. Finally,as an example,the numerical results for the dynamic stress intensify factor（ DSIF） of the linear cracks were analyzed.

关 键 词：动应力强度因子(DSIF) 半圆形脱胶 直线型裂纹 GREEN函数 出平面动力响应 

分 类 号：O343.1[理学—固体力学]