Inverse scattering for elastic plane cracks

被引:20
|
作者
Alves, CJS
Ha-Duong, T
机构
[1] Inst Super Tecn, Dept Matemat, Ctr Matemat Aplicada, P-1096 Lisbon, Portugal
[2] Univ Technol Compiegne, F-60205 Compiegne, France
关键词
D O I
10.1088/0266-5611/15/1/013
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
It is known that hard planar acoustic screens generate null far-field amplitude on the directions defined by the plane that encloses them. We proved in an earlier paper that this property actually characterizes plane screens among scatterers of any shape, and we generalized it to other boundary conditions. Furthermore it wits proved that a single incident wave is sufficient to distinguish screens that lie in the same plane. Generalizations of these results are carried out in this paper to the elastic case.
引用
收藏
页码:91 / 97
页数:7
相关论文
共 50 条
  • [1] Inverse scattering by line cracks in elastic solid
    Rangelov, T
    Dineva, P
    Gross, D
    [J]. INVERSE PROBLEMS IN ENGINEERING, 2003, 11 (02): : 141 - 155
  • [2] Inverse Scattering of Anti-plane Waves by Cracks in Magneto-electro-elastic Materials
    Stoynov, Yonko
    [J]. 39TH INTERNATIONAL CONFERENCE APPLICATIONS OF MATHEMATICS IN ENGINEERING AND ECONOMICS (AMEE13), 2013, 1570 : 105 - 112
  • [3] Anti-plane inverse problem for inclined cracks in the elastic half-space
    Ciarletta, M.
    Iovane, G.
    Sumbatyan, M. A.
    [J]. MECHANICS RESEARCH COMMUNICATIONS, 2009, 36 (04) : 452 - 460
  • [4] INVERSE SCATTERING FROM ROUGH CRACKS
    AYTER, S
    AULD, BA
    [J]. IEEE TRANSACTIONS ON SONICS AND ULTRASONICS, 1983, 30 (03): : 185 - 185
  • [5] Inverse scattering for a plane screen
    Kwon, O
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2001, 122 (01) : 59 - 69
  • [6] Mie elastic scattering generated by cracks
    Vai, Rossana
    Luzon, Francisco
    Iturraran-Viveros, Ursula
    Sanchez-Sesma, Francisco J.
    [J]. JOURNAL OF APPLIED GEOPHYSICS, 2009, 67 (01) : 1 - 8
  • [7] ELASTIC WAVE SCATTERING BY RECTANGULAR CRACKS
    GUAN, LW
    NORRIS, A
    [J]. INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 1992, 29 (12) : 1549 - 1565
  • [8] THE FACTORIZATION METHOD FOR CRACKS IN ELASTIC SCATTERING
    Guo, Jun
    Wu, Qinghua
    Yan, Guozheng
    [J]. INVERSE PROBLEMS AND IMAGING, 2018, 12 (02) : 349 - 371
  • [9] EQUILIBRIUM OF AN ELASTIC LAYER WEAKENED BY PLANE CRACKS
    SMETANIN, BI
    SOBOL, BV
    [J]. PMM JOURNAL OF APPLIED MATHEMATICS AND MECHANICS, 1984, 48 (06): : 757 - 764
  • [10] Solutions for dilating shear cracks in elastic plane
    Dyskin, AV
    Galybin, AN
    [J]. INTERNATIONAL JOURNAL OF FRACTURE, 2001, 109 (03) : 325 - 344