SH 波入射时半空间界面裂纹与圆形衬砌

的相互作用

齐辉; 张根昌; 陈冬妮; 郭晶; 赵春香

doi:10.11883/1001-1455(2012)05-0463-07

SH 波入射时半空间界面裂纹与圆形衬砌的相互作用

doi: 10.11883/1001-1455(2012)05-0463-07

1.
哈尔滨工程大学航天与建筑工程学院,黑龙江哈尔滨150001

详细信息

通讯作者:
张根昌

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出版历程
- 刊出日期: 2012-09-25

ScatteringofSH-wavebythecircularliningwithaninterfacecrack inabi-materialhalf-space

1.
CollegeofAerospaceandCivilEngineering,HarbinEngineeringUniversity,

More Information

Corresponding author: ZHANGGen-chang

摘要

摘要: 利用复变函数和Green函数法研究了双相介质半空间界面裂纹及界面附近圆形衬砌对SH 波的散射与动应力集中问题。首先,采用映像思想构造满足自由边界条件的散射波表达式,进而求解所需的 Green函数;其次,采用裂纹切割技术构造裂纹,并根据连续性条件建立了求解该问题的无穷代数方程组; 最后,给出了不同入射波数时界面裂纹与衬砌的相互作用。结果表明,裂纹的存在显著放大了衬砌界面的动应力集中。
- 固体力学 /
- 动应力集中系数 /
- Green函数 /
- 双向介质半空间 /
- 圆形衬砌 /
- 裂纹 /
- SH 波散射
Abstract: BasedonthecomplexvariablefunctionmethodandtheGreensfunctionmethod,thescatteringofSH- wavebyabi-materialinterfacecrackandacircularliningnearabi-materialinterfacein half-spacewasexploredandthecorrespondingdynamicstressconcentrationatthecircularlininginterfacewasinvestigated. Firstly,theexpressionofthescatteringwavewasproposedwhichsatisfiedthe freeboundaryconditions,andthentheGreensfunctionwasconstructed.Secondly,thecrackwas madeoutbythecrack-divisiontechnique,andaseriesofalgebraicequationsfordeterminingtheunknownforcesweredevelopedfromthecontinuityconditions. Finally,someexamplesforthedynamic stressconcentrationfactorsofthecircularelasticliningweregiven,andtheeffectsoftheinterface crack,theincidentwaveandthefreeboundaryonthedynamicstressconcentrationfactorsattheedge ofthecircularelasticinclusionwereanalyzed.Thecalculatedresultsshowthattheexistenceoftheinterfacecrackhasgreateffectsonthedynamicstressconcentrationfactorsatthecircularl ninginterface.
- solidmechanics /
- dynamicstressconcentration /
- Greensfunction /
- bi-materialhalf-space /
- circularlining /
- crack /
- scatteringofSH-wave