用二维逆Born近似法对杆中方形缺陷的重构  

Shape Reconstruction of Square Flaw in Rod Based on Inverse Born Approximation

作　　者：吴斌[1] 郑钢丰[1] 何存富[1] 

机构地区：[1]北京工业大学机械工程与应用电子技术学院,北京100022

出　　处：《北京工业大学学报》2007年第3期229-234,共6页Journal of Beijing University of Technology

基　　金：国家自然科学基金(10272007;10372009);北京市自然科学基金(4052008)

摘　　要：为了重构弹性介质中散射体的形状,在三维弹性波散射问题的Born近似解基础上,进一步分析了在纵波入射条件下二维散射问题的Born近似解,对铝质长杆中的方形空穴缺陷的散射场情况进行了对比分析．提出了在低频下识别缺陷几何特征的二维逆Born近似法,并用此法对铝质长杆中的3种方形空穴缺陷作了计算机模拟．模拟的结果说明用二维逆Born近似法对缺陷几何特征的识别是有效的．To reconstruct the shape of elastical materials, according to the Born approximation solution of the scattering of three-dimensional elastic waves, the authors analyze the Born approximation solution of the twodimensional scattering and discuss the scattering of the square void in long rod made of Al. Identification of flaw＇s geometrical character is given by two dimensional inverse Born approximation under the condition of low frequency, and simulated identification is performed for three square voids on computer. The simulated results show that two dimensional inverse Born approximation is an effective way for identification of the flaw.

关 键 词：Born近似 形状因子 特征函数 反演 散射 

分 类 号：O347.4[理学—固体力学]