Electromagnetic Interrogation Techniques for Damage Detection
NORTH CAROLINA STATE UNIV AT RALEIGH CENTER FOR RESEARCH IN SCIENTIFIC COMPUTATION
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This paper introduces a computational method for use with eddy current damage detection techniques. To identify the geometry of a subsurface damage, an optimization algorithm is employed which requires solving the forward problem numerous times. In order for the method to be effective in a practical setting, i.e., in real-time applications, the forward algorithm must be extremely fast and accurate. Therefore, we have chosen an approach based on reduced order Proper Orthogonal Decomposition POD methods. This allows one to create a set of basis elements using snapshots with either numerical simulations or experimental data. The data is organized in an optimal way allowing one to use a reduced number of basis elements, resulting in a fast algorithm while still obtaining an accurate approximation to the solution. We first derive the model associated with the chosen nondestructive evaluation NDE technique and prove some well-posedness results for the model. We then introduce the proposed computational methodology and test it on both numerically simulated data as well as experimental data obtained from a GMR Giant Magnetoresistive sensor. The results demonstrate that the method is extremely efficient and accurate.
- Theoretical Mathematics