The determination of the configuration of a crack in an anisotropic medium

DOI10.1016/S0021-8928(04)90015-9zbMath1132.74039MaRDI QIDQ5318182

A. O. Vatul'yan

Publication date: 21 September 2005

Published in: Journal of Applied Mathematics and Mechanics (Search for Journal in Brave)

zbMATH Keywords

uniquenessconverse geometrical problemregularized iteration procedure

Mathematics Subject Classification ID

Anisotropy in solid mechanics (74E10) Brittle fracture (74R10) Boundary element methods applied to problems in solid mechanics (74S15) Uniqueness of solutions of equilibrium problems in solid mechanics (74G30)

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Cites Work

• A computational algorithm to determine cracks from electrostatic boundary measurements
• An alternating iterative algorithm for the reconstruction of internal cracks in a three-dimensional solid body
• On the inverse emergent plane crack problem
• Inverse scattering for elastic plane cracks
• A semi-explicit algorithm for the reconstruction of 3D planar cracks
• On inverse scattering by screens
• Identification of planar cracks by complete overdetermined data: inversion formulae
• Inverse elastic scattering from a crack
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