Planar crack identification in 3D linear elasticity by the Reciprocity Gap method

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

1 LMT - Laboratoire de Mécanique et Technologie
2 LR-LAMSIN-ENIT - Laboratoire de Modélisation Mathématique et Numérique dans les Sciences de l'Ingénieur [Tunis]
3 LMT - Laboratoire de Mécanique et Technologie

We study the reciprocity gap method [4] for the identification of planar cracks in the framework of three dimensional linear elasticity. In order to achieve better accuracy on thick domains, we propose to use polynomial test functions instead of Fourier series. We also propose to improve the solution by various regularization techniques that are tested and compared. Numerical assessments are provided in 2D and 3D.

Mots clés: reciprocity gap method; inverse problem; harmonic polynomials; Fourier series; crack identification

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

Renaud Ferrier, Mohamed Larbi Kadri, Pierre Gosselet. Planar crack identification in 3D linear elasticity by the Reciprocity Gap method. Computer Methods in Applied Mechanics and Engineering, 2019, 355, pp.193-215. ⟨10.1016/j.cma.2019.06.017⟩. ⟨hal-01907336⟩