Topological sensitivity for 3D elastodynamic and acoustic inverse scattering in the time domain

被引:72
|
作者
Bonnet, Marc [1 ]
机构
[1] Ecole Polytech, Solid Mech Lab, CNRS, Dept Mech,UMR 7649, F-91128 Palaiseau, France
关键词
topological derivative; inverse scattering; convolution; linear acoustics; linear elastodynamics; adjoint field method;
D O I
10.1016/j.cma.2005.10.026
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
Building on previous work for 3D inverse scattering in the frequency domain, this article develops the concept of topological derivative for 3D elastic and acoustic-wave imaging of media of arbitrary geometry using data in the time domain. The topological derivative, which quantifies the sensitivity of the cost functional associated with the inverse scattering problem due to the creation at a specified location of an infinitesimal hole (for the elastodynamic case) or rigid inclusion (for the acoustic case), is found to be expressed in terms of the time convolution of the free field and a supplementary adjoint field, The derivation of the topological derivative follows the generic pattern proposed in previous studies, which is transposable to a variety of other physical problems. A numerical example, where the featured cost function is defined in terms of synthetic data arising from the scattering of plane acoustic waves by a rigid spherical inclusion, illustrates the utility of the topological derivative concept for defect identification using time-varying data. (c) 2005 Elsevier B.V. All rights reserved.
引用
收藏
页码:5239 / 5254
页数:16
相关论文
共 50 条
  • [1] Topological sensitivity and FMM-accelerated BEM applied to 3D acoustic inverse scattering
    Nemitz, Nicolas
    Bonnet, Marc
    ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS, 2008, 32 (11) : 957 - 970
  • [2] Crack identification by 3D time-domain elastic or acoustic topological sensitivity
    Bellis, Cedric
    Bonnet, Marc
    COMPTES RENDUS MECANIQUE, 2009, 337 (03): : 124 - 130
  • [3] A comparative study of time domain BEM for 3D elastodynamic analysis
    Li, Yuan
    Zhang, Jianming
    1600, WITPress (56) : 503 - 514
  • [4] Identifying Cracks in Homogeneous and Bimaterial Bodies using 3D Elastodynamic Topological Sensitivity
    Bellis, C.
    Bonnet, M.
    PROCEEDINGS OF THE 8TH INTERNATIONAL CONFERENCE ON STRUCTURAL DYNAMICS, EURODYN 2011, 2011, : 2556 - 2563
  • [5] INVERSE OBSTACLE SCATTERING FOR ACOUSTIC WAVES IN THE TIME DOMAIN
    Zhao, Lu
    Dong, Heping
    Ma, Fuming
    INVERSE PROBLEMS AND IMAGING, 2021, 15 (05) : 1269 - 1286
  • [6] 3D INVERSE SCATTERING
    RAMM, AG
    WEAVER, OL
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 1991, 22 (4-5) : 1 - 25
  • [7] 3D inverse scattering
    Ramm, A.G.
    Weaver, O.L.
    Computers & Mathematics with Applications, 1991, 22 (4-5):
  • [8] Inverse acoustic scattering by solid obstacles: topological sensitivity and its preliminary application
    Yuan, H.
    Bracq, G.
    Lin, Q.
    INVERSE PROBLEMS IN SCIENCE AND ENGINEERING, 2016, 24 (01) : 92 - 126
  • [9] A time domain sampling method for inverse acoustic scattering problems
    Guo, Yukun
    Hoemberg, Dietmar
    Hu, Guanghui
    Li, Jingzhi
    Liu, Hongyu
    JOURNAL OF COMPUTATIONAL PHYSICS, 2016, 314 : 647 - 660
  • [10] The singular sources method for 3D inverse acoustic obstacle scattering problems
    Ben Hassen, M. F.
    Erhard, K.
    Potthast, R.
    IMA JOURNAL OF APPLIED MATHEMATICS, 2010, 75 (01) : 1 - 16