平面波对有部分脱胶衬砌的圆形孔洞的散射

将波函数展开法与奇异积分方程技术相结合研究了平面波对有部分脱胶衬砌的圆形孔洞的散射。将脱离区看作弧形裂纹并忽略裂纹表面的相互作用。将衬砌和基体中的波场展开成Fou-rier-Bessel级数,利用混合边界条件得到一组对偶级数方程组并进一步转化成Hilbert奇异积分方程。数值求解给出了脱离区大小和衬砌厚度对动应力强度因子(DSIF)和散射截面(SCS)的影响。结果显示由于脱胶,动应力强度因子和散射截面呈现明显的低频共振特性。

Plane Wave Scattering from Circular Cavity with Partially Debonded Liner

The scattering of plane waves from a circular cavity with a partially debonded liner is investigated with wave function expansion method and singular integral technique. The debonding region is modeled as an arc-shaped interface crack and the interaction between crack surfaces is neglected. Expanding the wave fields in both liner and matrix as Fourier-Bessel series,the mixed boundary conditions lead to a set of simultaneous dual series equations,then converted to Hilbert singular integral equations. Dynamic stress intensity factors(DSIF) and the scattering cross section (SCS) are evaluated numerically,the resonances of DSIF and SCS at lower frequencies due to the debondings arise obviously.