Nondestructive testing (NDT) gathers the different techniques to detect and characterize defects in a structure without altering it. The modeling of the phenomena involved in the different possible configurations allows a manufacturer to reduce delays and costs by providing valuable assistance for the design, the optimization and the qualification of the NDT methods. To meet this industrial need, the CEA-LIST is developing the multi-techniques CIVA software (www-civa.cea.fr) which allows to simulate and analyze inspections carried out by ultrasonic, electromagnetic or X-ray method. To this end, the underlying models should be able to account realistically the complexity of inspection configurations encountered both as regards the geometry of the sensors as the geometry of the piece (and its electromagnetic characteristics). The proposed thesis, which fits in the context of the developments of models to simulate eddy current inspection (electromagnetic method), aims to develop a model to simulate the response of sensors having a 3D geometry for the inspection of homogeneous pieces with complex shapes. The proposed electromagnetic formulation being a integral method on the surface of the probe and the piece, the use of the developed tools should be subject to a generalization of the method in order to propose, in a second stage of the thesis, a model to simulate the inspection of an inhomogeneous piece. Serious skills in applied mathematics and numerical analysis are required and knowledge of the basis functions used in finite elements method would be an advantage.