半空间中裂纹边缘界面圆孔对SH波的散射  

Scattering of SH-wave by interface circular cavity of crack edge in a half space

作　　者：赵春香[1] 齐辉[2] 南景富[1] 陈冬妮[2] 蔡立明[2] 

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：《黑龙江科技大学学报》2015年第1期87-91,103,共6页Journal of Heilongjiang University of Science And Technology

基　　金：黑龙江省自然科学基金项目(A201307)

摘　　要：研究界面波动力学对保障结构安全具有重要工程意义。应用"剖分-契合"法和"裂纹切割"技术,研究半空间双相介质界面上同时嵌有圆孔和裂纹时SH波对圆孔的动力作用。利用"镜像法",将半空间的水平界面问题变换为全空间的水平界面问题,构造出能自动满足半空间自由表面边界条件的散射波;由保障水平界面应力位移连续的"剖分-契合"条件,导出求解该问题的定解积分方程组;对界面圆孔边的动应力集中情况进行讨论分析。结果表明:工程应用中必须考虑自由边界、裂纹长度、介质材料参数和入射波数等对孔边动应力集中程度的综合影响。应该避免较大的波数比、较高的入射波波数、较长的裂纹长度与垂直入射的同时出现,这对降低孔边的动应力集中系数效果明显,对减轻结构动力效应具有一定的工程价值。This paper builds on the insight that the study of interface wave mechanics is of greater engineering significance to ensuring the structure safety and introduces the application of ＇partitioning- conjunction＇ method and＇ crack-division＇ technique to study the dynamic effect of SH-wave on interface circular cavity, as occurs when bi-material interfaces in a half-space are embedded with a circular hole and crack. The research is best achieved by transforming the horizontal interface problem from half space to whole space using the method of ＇ image＇ and thereby constructing the scattering waves capable of au- tomatically satisfying the free boundary condition on the half space surface ; deriving the integral equations for solving the problem from continuous＇ partitioning-conjunction＇ conditions of stress and displacement on horizontal interface ; and ultimately analyzing the dynamic stress concentrations of the interface circular cavity. The research results demonstrate that engineering tion of the comprehensive effects, such as free boundary, application necessitates not only the considera- crack length, material parameter, and incident wave number on circular cavity edge stress concentration degree, but also the prevention of the simultane- ous occurrence of such influence factors as a larger wave number, a higher incident wave number, a lon- ger the crack length, and SH-waves incident in vertical angle and this potentially contributes significantly to decreasing dynamic stress concentration factor of hole edge and thereby offers some engineering value for reducing the dynamic effect of SH-waves on engineering structure.

关 键 词：界面圆孔 SH波散射 剖分-契合法 裂纹切割技术 动应力集中 

分 类 号：O343.4[理学—固体力学] O347.3[理学—力学]