Line segment crack recovery from incomplete boundary data

Amel Ben Abda (1) , Moez Kallel (2) , Juliette Leblond , Jean-Paul Marmorat (3)

1 LR-LAMSIN-ENIT - Laboratoire de Modélisation Mathématique et Numérique dans les Sciences de l'Ingénieur [Tunis]
2 IPEIT - Institut Préparatoire aux Etudes d'Ingénieur de Tunis
3 CMA - Centre de Mathématiques Appliquées

Inverse geometrical problem of detecting and locating cracks in a material by boundary measurements was demonstrated. Partial boundary measurements of a solution to the Laplace-Neumann problem were used. Constructive approximation techniques and localization algorithms based on boundary computations of the reciprocity gap were also used

Mots clés: Algorithms; Approximation theory; Boundary conditions; Computer simulation; Crack initiation; Functions; Heat flux; Nondestructive examination; Partial differential equations; Problem solving

Domaines: Automatique

Amel Ben Abda, Moez Kallel, Juliette Leblond, Jean-Paul Marmorat. Line segment crack recovery from incomplete boundary data. Inverse Problems, 2002, 18 (4), pp.1057-1077. ⟨hal-00504811⟩