A computational algorithm to determine crack locations from electrostatic boundary measurements. The case of multiple cracks

DOI10.1016/0020-7225(94)90020-5zbMath0924.73179OpenAlexW1993504401MaRDI QIDQ1264189

Kurt Bryan, Michael S. Vogelius

Publication date: 13 September 1999

Published in: International Journal of Engineering Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0020-7225(94)90020-5

Mathematics Subject Classification ID

Fracture and damage (74R99) Technical applications of optics and electromagnetic theory (78A55)

Related Items (9)

A Richardson-type iterative approach for identification of delamination boundaries ⋮ A variational approach to the reconstruction of cracks by boundary measurements ⋮ Three-dimensional flaw identification using inverse analysis ⋮ Determination of surface and interior cracks from electrostatic measurements using Schwarz-Christoffel transformations ⋮ Reconstruction of cracks in an inhomogeneous anisotropic elastic medium. ⋮ Variational approach to the free‐discontinuity problem of inverse crack identification ⋮ Identifiability and stability results of one emerging crack in heterogeneous media by one boundary measurements ⋮ Crack detection using electrostatic measurements ⋮ Computational identification of interface delaminations in layered composites based on surface measurements

Cites Work

• Integral equations with non integrable kernels
• A computational algorithm to determine cracks from electrostatic boundary measurements
• Electric Current Computed Tomography and Eigenvalues
• A Uniqueness Result Concerning the Identification of a Collection of Cracks from Finitely Many Electrostatic Boundary Measurements
• A boundary integral equation method for an inverse problem related to crack detection
• Applications of analysis on nilpotent groups to partial differential equations
• Stable determination of a crack from boundary measurements
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