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Book: Studies in Applied Electromagnetics and Mechanics 14, Electromagnetic Nondestructive Evaluation (II), Editors: R. Albanese, G. Rubinacci, T. Takagi and S.S. Udpa, IOS Press, Amsterdam (1998), ISBN: 90-5199-375-7, pp.114-119

Modelling of Thin Cracks Using Edge and Nodal Shell Elements in Nondestructive Testing Applications

Zhuoxiang Ren(a)

(a) Laboratoire de Génie Electrique de Paris (LGEP) - URA CNRS 0127 - SUPELEC - Universités Paris XI et Paris VI, Plateau de Moulon, F 91192 Gif-sur-Yvette Cedex

The thin cracks in eddy current nondestructive testing applications are modelled by surface domains free of the thickness. The double layer nodal and edge shell elements are employed, respectively, for the discretisation of scalar and vector variables in thin cracks. These elements are derived from a degeneration of Whitney prism elements and allow a natural continuity of the tangential component of a field on the interfaces of the cracks and the substance. An eddy current problem in presence of the thin cracks is solved by an formulation in terms of combined vector - scalar potentials using either the shell elements and classical finite elements. Results are compared.

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