电磁材料弧形界面裂纹SH波散射的远场特性  

Scattering of SH Waves Arc-shaped Interface Crack Between Cylindrical Magneto-electro-elastic Inclusion and Matrix: Far Fields

作　　者：靳静[1] 聂辉[1] 冯文杰[1] 

机构地区：[1]石家庄铁道学院工程力学系,河北石家庄050043

出　　处：《石家庄铁道学院学报》2008年第1期11-17,共7页Journal of Shijiazhuang Railway Institute

基　　金：河北省自然科学基金(E2006000398)

摘　　要：分析了电磁材料弧形界面裂纹SH波散射的远场特性。根据波函数展开法将所研究的混合边值问题转化为对偶级数方程组,通过引入位错密度函数,进一步将问题归结为第一类Cauchy奇异积分方程。在此基础上,导出了远场散射模式(SFFP)和散射截面(SCS)的表达式,并详细考查了入射方向、裂纹张开角及载荷组合对远场散射特性的影响。研究成果对电磁构件的设计及电磁材料内裂纹的识别具有理论与应用价值。Investigated in this paper are the scattered far field properties of SH waves by a magneto-electroelastic cylindrical inclusion partially debonded from its surrounding magneto-electro-elastic material. The debonding region is modeled as an arc-shaped interface crack with non-contacting faces. By expressing the scattered fields as the wave function expansions with unknown coefficients, the mixed boundary value problem is firstly reduced to a set of simultaneous dual series equations. Then auxiliary functions are introduced as unknowns to transform these dual series equations to Cauchy singular integral equations of the first type, which can be numerically solved. Finally, the scattered far field pattern （SFFP） and scattered cross section （SCS） are obtained. The effects of incident direction, crack opening angle and material combination on the far fields are respectively examined in detain. The solution of this problem is expected to have potential applications to the design of magneto-electro-elastic devices and the identification of cracks in magneto-electro-elastic body.

关 键 词：波散射 散射截面 远场散射模式 弧形界面裂纹 电磁材料 

分 类 号：O347.4[理学—固体力学]