非均匀弹簧界面模型下柱形夹杂物的SH波散射  

Diffraction of SH-waves by a cylinder based on inhomogeneous spring interface model

作　　者：刘希强[1] 魏培君[2] 张瑰[1] 吴欧[1] 

机构地区：[1]解放军理工大学理学院,江苏南京211101 [2]北京科技大学应用科学学院,北京100083

出　　处：《解放军理工大学学报（自然科学版）》2011年第4期372-377,共6页Journal of PLA University of Science and Technology(Natural Science Edition)

基　　金：国家自然科学基金资助项目(10672019)

摘　　要：为了研究SH波对非均匀弹簧界面模型下单个柱形夹杂物的散射问题,通过对界面的离散,解决了在非均匀弹簧界面模型下,波函数正交性条件不能利用的难题,从而将边界条件归结为一个超定线性代数方程组,求解该方程组可求得波函数展开系数。针对Ge-Al复合材料,通过适当选取弹簧常数的周向分布,解决了含裂纹界面的弹性波散射问题,计算了散射截面、远场散射幅。结果表明,散射截面和远场散射幅与裂纹的个数及所处位置都有关系,且随着裂纹个数的增多,计算结果也越来越接近于完全脱粘的情况。To study the diffraction of SH-waves by single cylinder inclusion based on inhomogeneous interface spring model,the proplem that the orthogonal properties of wave functions can not be used under the inhomogeneous spring interface condition was solved by the discretization along the circumference,and a linear algebraic equation sets was derived from the interface conditions.The linear algebraic equation sets were solved numerically and the wave function expansion coefficients were obtained.The numerical simulation was carried out for the composites Ge-Al.Both scattering cross-section and far-field scattering amplitude were computed.In addition,the scattering problem of single cylinder with local debond could be solved in the present inhomogeneous interface spring model assuming that the spring flexible coefficient at the debond region was infinite.The numerical results indicate that both the scattering cross-section and the far-field scattering amplitude are related with the number and the location of the cracks,and the calculation results are closer to the debonded case gradually as the number of the cracks increases.

关 键 词：柱形夹杂物 SH波 弹簧模型 散射截面 远场散射幅 界面裂纹 

分 类 号：O347.41[理学—固体力学]