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1、SH波对脱胶圆夹杂及其边缘直裂纹的散射第28卷第12期2007年l2月哈尔滨工程大学JournalofHarbinEngineeringUniversityVoI.28NQ.12Dee.2007SH波对脱胶圆夹杂及其边缘直裂纹的散射齐辉,赵嘉喜,刘殿魁,王慧文.(1.哈尔滨工程大学建筑工程学院,黑龙江哈尔滨150001;2.黑龙江工程学院汽车工程系,黑龙江哈尔滨150001)摘要:采用Green函数法,复变函数法研究SH波对均匀介质中含有上半圆形脱胶及其直线型裂纹的圆柱形弹性夹杂的散射问题,并给出
2、裂纹尖端动应力强度因子的计算结果.将整个空间分成上下2个部分.在下半空间,给出了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.取该位移函数作为Green函数.采用裂纹"切割"方法构造直线型裂纹,并根据连续性条件建立起问题的定解方程组,得到动应力强度因子的解答.最后作为算例,给出了裂纹尖端动应力强度因子的算例,分析了圆形弹性夹杂参数,入射波参数和裂纹参数对动应力强度因子的影响情况.结果表明,脱胶结构对直裂纹的动强度因子有很大的影响.关
3、键词:动应力强度因子(DSIF);半圆形脱胶;直线型裂纹;Green函数;SH波散射中图分类号:0347.3文献标识码:A文章编号:1006—7043(2007)12132106ScatteringofSH—wavesbyacylindricalinclusionwithadisconnectedcurveandlinearcracksemanatingfromtheedgeQIHui,ZHAOJia—xi,LIUDian—kui,WANGHui—wen,.(1.CollegeofCivilEng
4、ineering,HarbinEngineeringUniversity,Harbin150001,China;2.DepartmentAutomobileEngineering,HeilongjiangInstituteofTechnology,Harbin150001,China)Abstract:ThescatteringofSH—wavesbyacylindricalelasticinclusionwithasemicirculardisconnectedcurveintheupperpa
5、rtandlinearcracksemanatingfromtheedgeinahomogeneousmediumisdiscussedandthesolutionofthedynamicstressintensifyfactorwasderivedusingGreenSfunctionandthecomplexfunctionmethod.ThewholespacewasdividedintotWOparts,upperandlower.Inthelowerhalf,anappropriateG
6、reen'sfunctionforthepres—entproblemwasconstructed~theessentialsolutionofadisplacementfieldtoanelastichalfspacecontainingasemi—cylindricalhillwithacylindricalelasticinclusion,whichwassubjectedtoanout—planeharmoniclinesourceloadingonitshorizontalsurface
7、.Linearcrackswerethenconstructedusingthecuttingmethod.ThereforethesemicirculardisconnectedcurveandthelinearcrackscouldbegeneratedbyboundingthetWOpartstogetherandthenloadedwithSH—waves.Finally,someexamplesandresultsofthedynamicstressintensifyfactorwere
8、given,andtheinfluencesofparameters,suchascylindricalelasticinclusion,incidentwavesandcracksarediscussed.Fromtheresults,itisfoundthatthedisconnectivecurvehaslargeimpactsonthedynamicstressintensifyfactor(DSIF)ofthelinearcracks.Keywords:dynamicst
