| 具有波阻抗不连续特性的粘弹性介质中的逆散射问题 |
| |
| 引用本文： | 陈显尧,程昌钧. 具有波阻抗不连续特性的粘弹性介质中的逆散射问题[J]. 应用数学和力学, 1999, 20(11): 1135-1142 |
| |
| 作者姓名： | 陈显尧 程昌钧 |
| |
| 作者单位： | 1.兰州大学力学系, 兰州730000; |
| |
| 摘 要： | 在时间域内讨论了粘弹性介质的逆散射问题,其中粘弹性介质的波阻抗在远离入射波作用面一侧的交界面上是不连接的。介质的散射算子,传播算子所满足的微分积分方程可以用来反演未知的粘弹性介质的松弛模量,文中给出的反演过程只须利用介质层一侧的反射算子在一个走时来回的时间内的实验测量数据。最后,给出了数值算例,计算结果表明,利用方法可以较准确的反演得到材料松弛模量。
|
| 关 键 词： | 粘弹性介质 逆散射 反演过程 Volterra积分方程 松弛模量 一个走时来回 数值算例 |
| 收稿时间： | 1998-06-01 |
Inverse Problem for the Viscoelastic Medium with Discontinuous Wave Impedance |
| |
| Chen Xianyao,Cheng Changjun. Inverse Problem for the Viscoelastic Medium with Discontinuous Wave Impedance[J]. Applied Mathematics and Mechanics, 1999, 20(11): 1135-1142 |
| |
| Authors: | Chen Xianyao Cheng Changjun |
| |
| Affiliation: | 1.Department of Mechanics, Lanzhou University, Lanzhou 730000, P. R. China;2.Shanghai Institute of Applied Mathematics and Mechanics, Shanghai 200072, P. R. China;3.Department of Mechanics, Shanghai University, Shanghai 200072, P. R. China |
| |
| Abstract: | In this paper, the inverse problem for the viscoelastic medium is investigated in the time domain, in which the wave impedance of the medium is discontinuous at the rear interface. The differentio_integral equations governing the behavior of the scattering and propagation operators are utilized to reconstruct the relaxation modulus of the viscoelastic medium. A new approach, in which only the one_side measurement reflection data for one round trip through the viscoelastic layer, is developed. The numerical examples are given at the end of the paper. It is shown that the curves of the reconstructed moduli coincide very well with the original relaxation moduli. |
| |
| Keywords: | viscoelastic medium inverse scattering inversion procedure Volterra integral equation relaxation modulus one round trip numerical examples |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
| 点击此处可从《应用数学和力学》浏览原始摘要信息 |
|
点击此处可从《应用数学和力学》下载全文 |
|
