Mathematical modeling of Laser Active Radiometry in application to Non-Destructive Testing
Résumé
New technological methods for non-destructive testing (NDT) for in situ and real time control of complex physico-chemical processes are under constant development in the French Alternative Energies and Atomic Energy Commission (CEA) [1-12]. These methods should be developed along with mathematical model and computer code to provide both the adequate analytical physical model and the rapid computation of a process under research. In our NDT-studies with Laser Active Radiometry method, samples representative for nuclear and thermonuclear (ITER) installations were under repetitive heating by a pulsed laser radiation. The development of the analytical models and simplified solutions was aimed to simulate laser heating and related temperature distribution T(x, y, z, t) in relation with numerous physical and chemical features of this complex multi-parametric process. The results of our mathematical modeling were validated by the experiments. The simulation and experimental results were in good correlation. The principal results of our theoretical studies, their applicability for rapid NDT and the prospects for future models development for heating temperature calculation in application to complex surfaces with micrometric layers or undersurface defects will be presented and discussed.