二维弹性波散射时域Born近似  

TIME DOMAIN BORN ANPROXIMAION FOR THE SCATTERING THEORY OF ELASTIC WAVES BY 2-D FLAWS

作　　者：冯文杰[1] 邹振祝[1] 薛德庆[2] 

机构地区：[1]石家庄铁道学院,石家庄050043 [2]中国人民解放军军械工程学院,石家庄050003

出　　处：《工程力学》1999年第5期17-20,46,共5页Engineering Mechanics

基　　金：国家自然科学基金!1972029

摘　　要：本文探讨了非零面积缺陷对一种典型脉冲波（称之为基脉冲）散射的正反问题。利用平面简谐波人射时弹性波散射场的频域Born近似解，通过Fourier变换，给出了散射体（或者说缺陷）对基脉冲入射时的脉冲响应函数（称之为基脉冲响应函数），并通过Radon变换法建立了散射体特征函数与基脉冲响应函数的关系式，模拟识别结果表明时域Born近似方法对无损检测技术具有潜在的应用价值。In this paper the direct and inverse Problem of elastic wave scattering from two dimensional flaw to a typical impulse wave, which is called basic impulse, is investigated By using the frequency domain Born approximation resolution of elastic wave scattering from scatterers (namely flaw) to a plane harmonic wave, the impulse resonance function, which is called basic impulse resonance function, is given through Fourier transform. And then the relation between the characteristic function of scatterer and the basic impulse resonance function is obtained by making use of Radon transform Results of numerical simulation show that time domain Born approximation method has potentially applied value to NDE.

关 键 词：二维缺陷 弹性波散射 时域 Born近似 无损检测 

分 类 号：O347.41[理学—固体力学]