An efficient numerical algorithm for crack reconstruction in elastic media by the circular US scanning

DOI10.1080/17415971003624314zbMath1422.74099OpenAlexW2068769984MaRDI QIDQ3565078

Michele Brigante, Sumbatyan, Mezhlum A.

Publication date: 27 May 2010

Published in: Inverse Problems in Science and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17415971003624314

zbMATH Keywords

inverse problemboundary integral equationdisplacement discontinuity methodultrasonic scanningcrack reconstruction

Mathematics Subject Classification ID

Brittle fracture (74R10) Inverse problems in equilibrium solid mechanics (74G75) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21)

Related Items (6)

Detection of a single elliptic-shape buried object in stratified elastic media: anti-plane problem ⋮ The scattering waves from an object in an elastic‐fluid layered structure ⋮ Numerical algorithm for defect reconstruction in elastic media with a circular ultrasonic scanning ⋮ Detection of a buried void in an elastic layer of constant thickness: The anti-plane problem ⋮ Inverse diffraction problems for buried objects in the layered elastic media: the anti-plane problem ⋮ Spectral approach to the inverse problem for the field of arbitrary changing electric dipole

Uses Software

• simannf90

Cites Work

• Unnamed Item
• Crack edge element of three-dimensional displacement discontinuity method with boundary division into triangular leaf elements
• Line segment crack recovery from incomplete boundary data
• Minimizing multimodal functions of continuous variables with the “simulated annealing” algorithm—Corrigenda for this article is available here
• A semi-explicit algorithm for the reconstruction of 3D planar cracks
• Identification of planar cracks by complete overdetermined data: inversion formulae
• Determining Linear Cracks by Boundary Measurements: Lipschitz Stability

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