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Thermography spatial-transient-stage tensor model and materal property characterization

Characterizing and tracking electrical conductivity, magnetic permeability and thermal conductivity in conductive material have promising potential for the detection and evaluation of material state undertaken by fatigue or residual stress. This letter proposes a spatial-transient-stage tensor mathematical model of eddy current pulsed thermography system and Tucker decomposition algorithm for characterizing and tracking the variation of properties. The links between mathematical and physical models have been discussed. The simulation experiments of tracking physic properties of steel material are investigated and verified. The estimation of normalized stage basis by using Tucker decomposition has shown high correlation relationships with different variation of physic properties in material.