Advanced search
Publication Cover
Inverse Problems in Engineering Volume 11, 2003 - Issue 2
Journal homepage
51
Views
0
CrossRef citations to date
0
Altmetric
Original Articles

Inverse Scattering by Line Cracks in Elastic Solid

Tsviatko Rangelov Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, Sofia, 1113, Bulgaria
,
Petia Dineva Institute of Mechanics, Bulgarian Academy of Sciences, Sofia, 1113, Bulgaria
&
Dietmar Gross Institute of Mechanics, Darmstadt University of Technology, Darmstadt, 64289, Germany
Pages 141-155 | Published online: 18 Oct 2010

  • Thompson , R. 1983 . Quantitative ultrasonic nondestructive evaluation methods . Journal of Applied Mechanics , 50 : 1191 – 1201 .
  • Achenbach , J. 2000 . Quantitative nondestructive evaluation . International Journal of Solids and Structures , 37 : 13 – 27 .
  • Achenbach , J. , Sotiropoulos , D. and Zhu , H. 1987 . Characterization of crack from ultrasonic scattering data . Journal of Applied Mechanics , 54 : 754 – 760 .
  • Sotiropoulos , D. and Achenbach , J. 1988 . Crack characterization by an inverse scattering method . International Journal of Solids and Structures , 24 : 165 – 175 .
  • Colton , D. and Kress , R. 1992 . Inverse Acoustic and Electromagnetic Scattering Theory , Berlin : Springer-Verlag .
  • Kress , R. 1996 . Inverse elastic scattering from crack . Inverse Problems , 12 : 667 – 684 .
  • Kress , R. 1997 . “ Integral equation methods in inverse acoustic and electromagnetic scattering ” . In Boudary Integral Formulations for Inverse Analysis , Edited by: Ingham , D.B. and Wrobel , L.C. 67 – 92 . Southampton : Computational Mechanics Publications .
  • Nishimura , N. and Kobayashi , S. 1991 . A boundary integral equation method for an inverse problem related to crack detection . International Journal for Numerical Methods in Engineering , 32 : 1371 – 1387 .
  • Gallego , R. and Suarez , J. 2000 . Solution of inverse problems by boundary integral equations method without residual minimization . International Journal of Solids and Structures , 37 : 5629 – 5652 .
  • Tosaka , N. and Utani , A. 1997 . “ Inverse analysis of continuous fields using the BEM with a filtering procedure ” . In Boudary Integral Formulations for Inverse Analysis , Edited by: Ingham , D.B. and Wrobel , L.C. 299 – 325 . Southampton : Computational Mechanics Publications .
  • Aliabadi , M. and Melling , S. 1997 . “ Boundary element formulation for sensitivity analysis and crack identification ” . In Boudary Integral Formulations for Inverse Analysis , Edited by: Ingham , D.B. and Wrobel , L.C. 93 – 117 . Southampton : Computational Mechanics Publications .
  • Stavroulakis , G. and Antes , H. 1997 . Nondestructive elastostatic identification of unilateral cracks through BEM and neural networks . Computational Mechanics , 20 : 439 – 451 .
  • Zhang , Ch. and Gross , D. 1998 . On Wave Propagation in Elastic Solids with Cracks , Southampton : Computational Mechanics Publications .
  • Bateman , H. and Erdelyi , A. 1953 . Higher Transcendental Functions , New York : McGraw-Hill .
  • Aliabadi , M. and Rooke , D. 1991 . Numerical Fracture Mechanics , Southampton : Computational Mechanics Publications .
  • Dineva , P. , Gross , D. and Rangelov , T. 1999 . Ultrasonic wave scattering by a line crack in a solder joint . Research in Nondestructive Evaluation , 11 : 117 – 135 .
  • Dineva , P. , Gross , D. and Rangelov , T. 2002 . Dynamic behaviour of a bi-material interface-cracked plate . Engineering Fracture Mechanics , 69 : 1193 – 1218 .
  • Dineva , P. and Popov , A. 1999 . Ultrasonic wave propagation problem in a corroded solder joint . Acustica -- Acta Acustica , 85 : 517 – 524 .
  • Wolfram , S. 1996 . A System for Doing Mathematics by Computer, , 3rd Edn. , New York : Cambridge University Press .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Order Reprints Request Corporate Permissions

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

Request Academic Permissions

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.