Reciprocity principle and crack identification in transient thermal problems

Abda Ben Abda (1) , Huy Duong Bui (2)

1 LR-LAMSIN-ENIT - Laboratoire de Modélisation Mathématique et Numérique dans les Sciences de l'Ingénieur [Tunis]
2 LMS - Laboratoire de mécanique des solides

We consider the inverse problem of crack determination related to the nondestructive thermal testing of materials process. Using arbitrary transient heat flux applied to the external boundary and measuring the induced temperature, we prove that the overspecified datum suffice to reconstruct planar cracks.

Domaines: Mécanique [physics.med-ph]

Abda Ben Abda, Huy Duong Bui. Reciprocity principle and crack identification in transient thermal problems. Journal of Inverse and Ill-posed Problems, 2013, 9, pp.1-6. ⟨10.1515/jiip.2001.9.1.1⟩. ⟨hal-00111333⟩