Identification of transient heat sources using the reciprocity gap

Nicolas Auffray, Marc Bonnet, Stéphane Pagano
2013 Inverse Problems in Science and Engineering  
The deformation of solid materials is nearly always accompanied with temperature variations, induced by intrinsic dissipation and thermomechanical coupling. Heat sources give precious information on the thermomechanical behavior of materials. They can be indirectly observed from thermal measurements on the specimen boundary, obtained e.g. via infrared thermography. To solve the inverse problem of identifying heat sources from such observations, a non-iterative algebraical method based on the
more » ... hod based on the Reciprocity Gap Method is proposed. This approach, used elsewhere mainly for time-independent identification, is applied here to transient measurements. Under appropriate modelling assumptions the number of heat sources, their spatial locations and energies are retrieved, as demonstrated on numerical experiments where the robustness of the method to measurement noise is also studied.
doi:10.1080/17415977.2012.731597 fatcat:7w3nnbrpx5ajxhr37h5jru2rpe