振动与冲击
振動與遲擊
진동여충격
JOURNAL OF VIBRATION AND SHOCK
2014年
24期
169-172
,共4页
赵春香%齐辉%杨在林%王蕾蕾
趙春香%齊輝%楊在林%王蕾蕾
조춘향%제휘%양재림%왕뢰뢰
半空间%界面裂纹%SH波%“镜像法”%动应力强度因子(DSIF)
半空間%界麵裂紋%SH波%“鏡像法”%動應力彊度因子(DSIF)
반공간%계면렬문%SH파%“경상법”%동응력강도인자(DSIF)
half space%interface crack%SH-wave%image' method%dynamic stress intensity factor (DSIF)
采用“镜像”和“剖分-契合”等方法,对SH波作用下半空间孔边界面裂纹的动应力问题进行了研究。首先,采用“镜像法”,将半空间镜像为全空间,构造出满足边界条件的散射波场;其次,借助“剖分-契合”方法和“裂纹切割”技术,将全空间沿界面分割成两个半空间求解后,再由界面应力位移连续“契合”条件组合成全空间,建立起求解该问题的积分方程组;最后,对界面裂纹端点的动应力强度因子(DSIF)进行数值分析。分析结果表明:适当地避开入射波波数、入射角度及裂纹长度等最不利影响因素的组合,可达到降低裂纹尖端点动应力的目的。
採用“鏡像”和“剖分-契閤”等方法,對SH波作用下半空間孔邊界麵裂紋的動應力問題進行瞭研究。首先,採用“鏡像法”,將半空間鏡像為全空間,構造齣滿足邊界條件的散射波場;其次,藉助“剖分-契閤”方法和“裂紋切割”技術,將全空間沿界麵分割成兩箇半空間求解後,再由界麵應力位移連續“契閤”條件組閤成全空間,建立起求解該問題的積分方程組;最後,對界麵裂紋耑點的動應力彊度因子(DSIF)進行數值分析。分析結果錶明:適噹地避開入射波波數、入射角度及裂紋長度等最不利影響因素的組閤,可達到降低裂紋尖耑點動應力的目的。
채용“경상”화“부분-계합”등방법,대SH파작용하반공간공변계면렬문적동응력문제진행료연구。수선,채용“경상법”,장반공간경상위전공간,구조출만족변계조건적산사파장;기차,차조“부분-계합”방법화“렬문절할”기술,장전공간연계면분할성량개반공간구해후,재유계면응력위이련속“계합”조건조합성전공간,건립기구해해문제적적분방정조;최후,대계면렬문단점적동응력강도인자(DSIF)진행수치분석。분석결과표명:괄당지피개입사파파수、입사각도급렬문장도등최불리영향인소적조합,가체도강저렬문첨단점동응력적목적。
The dynamic stress responses of interface cracks originating at an hole in a half-space to SH-wave were studied using the methods of‘image’and‘partitioning-conjunction’.Firstly,the half space was imaged into a full space and a scattering wave field satisfying boundary conditions was constructed with the method of‘image’.Secondly,with the help of the ‘partitioning-conjunction’method and ‘crack-division’technique,the solving domain was divided into two parts along the interface,the two sub-domains satisfying the continuous ‘conjunction’conditions of displacement and stress on the interface were conjoined,and a group of integral equations were built to solve this problem.Finally,the dynamic stress intensity factor of the interface crack tip was analyzed with the numerical method.Numerical results demonstrated that the purpose of reducing crack tip's dynamic stress can be achieved by properly avoiding the combination of the most adverse effect factors,such as,incident wave number,incident angle,and crack length,etc.