Recovery of Cracks from Incomplete Boundary Data

Authors: CimetiÈre A.¹; Delvare F.²; Jaoua M.³; Kallel M.⁴; Pons F.¹

Source: Inverse Problems in Engineering, Volume 10, Number 4, 1 January 2002 , pp. 377-392(16)

Buy & download fulltext article:

Price: $56.94 plus tax (Refund Policy)

Abstract:

We are interested in this article in recovering line segment (or planar) cracks from incomplete boundary measurements. Most recovery algorithms, and especially fast ones based on the reciprocity gap, however need a full set of boundary data, which compels us to extending the available data prior to achieving recovery. Both the extension and recovery problems being severely ill posed, their stacking might drive the whole process to a blowing up, unless the instabilities are properly handled. Numerical results actually prove the so-built composite algorithm to hold good accuracy and robustness features.

Keywords: Geometrical inverse problems; 2D Laplace operator; Cracks detection and recovery; Data completion; Cauchy problem; Regularization

Document Type: Research article

Affiliations: 1: Université de Poitiers & ENSMA, Laboratoire de Modélisation Mécanique et de Mathématiques Appliquées, Boulevard Pierre et Marie Curie, BP 30179, 86962 Chasseneuil Futuroscope Cedex, France 2: ENSI de Bourges, Laboratoire Energétique Explosions Structures, 10 Boulevard Lahitolle, 18020 Bourges Cedex, France 3: ENIT-LAMSIN, BP 37, 1002 Tunis Belvédère, Tunisia 4: IPEIT & ENIT-LAMSIN, BP 37, 1002 Tunis Belvédère, Tunisia

Publication date: 2002-01-01