ISSN: 0090-3973
Published Online: 4 January 2008
Page Count: 7

Lineared Inverse Scattering Methods in Elasticity for Shape Reconstruction of Defects

Gangfeng, Zheng
College of Mechanical Engineering & Applied Electronics Technology, Beijing University of Technology,
Department of Materials Science and Engineering, Anhui University of Science and Technology,

Bin, Wu
College of Mechanical Engineering & Applied Electronics Technology, Beijing University of Technology,

Cunfu, He
College of Mechanical Engineering & Applied Electronics Technology, Beijing University of Technology,

(Received 30 January 2007; accepted 1 December 2007)

Abstract

Two linearized methods for the ultrasonic inversion are formulated for the shape reconstruction of defects in an elastic material. The methods are based on the elastodynamic inverse Born and Kirchhoff approximations. From the numerical analysis for two kinds of defects, it is verified that the Born inversion works well for volumetric defects and the Kirchhoff inversion for surface defects. Combination of two inversion methods leads to the separation of surface in a part from the volumetric part of the defect.

Keywords:
elastodynamics, shape reconstruction, inverse Born inversion, inverse Kirchhoff inversion, FEM

Paper ID: JTE101032
DOI: 10.1520/JTE101032
ASTM International is a member of CrossRef.