ScatteringofSH-wavebythecircularliningwithaninterfacecrack inabi-materialhalf-space
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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。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.
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Key words:
- solidmechanics /
- dynamicstressconcentration /
- Greensfunction /
- bi-materialhalf-space /
- circularlining /
- crack /
- scatteringofSH-wave
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