Crack identification with incomplete boundary data in linear elasticity by the reciprocity gap method

Renaud Ferrier (1) , Mohamed Larbi Kadri (2) , Pierre Gosselet (3)

1 LMA - Laboratoire de Mécanique et d'Acoustique [Marseille]
2 LR-LAMSIN-ENIT - Laboratoire de Modélisation Mathématique et Numérique dans les Sciences de l'Ingénieur [Tunis]
3 LaMcube - Laboratoire de Mécanique, Multiphysique, Multiéchelle - UMR 9013

This paper proposes and studies three methods for the identification of cracks in linear elastic bodies. They are based on the reciprocity gap principle which they extend to the case of partially redundant boundary data. The methods are all assessed on an academic 2D case, then the most appealing is more deeply analysed and illustrated on a 3D test-case.

Mots clés: crack identification; reciprocity gap method; inverse problems; data completion; Newton algorithm

Domaines: Mécanique des structures [physics.class-ph]

Renaud Ferrier, Mohamed Larbi Kadri, Pierre Gosselet. Crack identification with incomplete boundary data in linear elasticity by the reciprocity gap method. Computational Mechanics, 2021, 67, pp.1559-1579. ⟨10.1007/s00466-021-02006-4⟩. ⟨hal-03169245⟩