摘要
采用复变函数法、格林法和保角映射法研究了双相介质半空间界面裂纹及其附近椭圆形孔洞对水平剪切(SH)波的散射,给出了椭圆形孔洞的动应力集中系数和界面裂纹尖端动应力强度因子的分布情况.首先,将理论模型沿垂直界面剖分为两个直角平面模型,利用保角映射法和镜像叠加原理构造直角平面中平面波场及椭圆形孔洞产生的散射波场;其次,根据界面上的应力和位移连续性条件,利用界面契合技术和裂纹切割技术将两个直角平面契合成含有界面裂纹的双相介质半空间;最后,通过具体算例给出了不同参数条件下椭圆形孔洞的动应力集中系数及界面裂纹尖端的动应力强度因子的分布情况.结果表明:入射角度、入射波数、材料参数、裂纹长度等因素会对动应力集中系数及动应力强度因子的分布产生影响.
Based on Green′s function method and complex function method with conformal mapping method,the scattering problem of shear horizontal(SH)waves by elliptic cavity and interfacial crack in a bi-material half space were investigated.And the distributions of the dynamic stress concentration factor(DSCF)around elliptic cavity and dynamic stress intensity factor(DSIF)at the tip of interfacial crack were presented.Firstly,the theoretical model was divided into two right planes along the interface to study respectively.The plane wave field and scattering wave field of the elliptic cavity in right angle planes were constructed by using image method and conformal mapping method.Secondly,through the continuity conditions of stress and displacement on the vertical interface,the two right planes were combined into bi-material half space with interfacial crack by using conjunction method and crack dividing method.Finally,some examples were given to present the distributions of DSCF and DSIF under different conditions.Numerical results show that incident angel,incident wave number,materials parameters,crack length and some other factors are capable of effecting the distributions of DSCF and DSIF.
引文
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